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Tzafestas, S. G.; Stavroulakis, P.

Recent advances in the study of distributed parameter systems. (English) Zbl 0517.93037

J. Franklin Inst. 315, 285-305 (1983).
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Cited in 12 Documents

MSC:

93C20 Control/observation systems governed by partial differential equations
93-02 Research exposition (monographs, survey articles) pertaining to systems and control theory
49J20 Existence theories for optimal control problems involving partial differential equations
93B05 Controllability
93B50 Synthesis problems
93B07 Observability
93D99 Stability of control systems
93B35 Sensitivity (robustness)
93E11 Filtering in stochastic control theory
93E12 Identification in stochastic control theory
93B40 Computational methods in systems theory (MSC2010)
93E14 Data smoothing in stochastic control theory

Keywords:

distributed parameter systems; survey of the theoretical results
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References:

[1] Williams, J. C., A survey of stability of distributed parameter systems, Control of Distributed Parameter Systems, 63-102 (1969), Proc of AACC-JACC Symp.
[2] Wang, P. K.C., Control of distributed parameter systems, (Leondes, C., Advances in Control Systems, Vol. 1 (1964)), 75-172
[3] Wang, P. K.C., Theory of stability and control for distributed parameter systems, Int. J. Control, Vol. 17, 101-116 (1968), (A bibliography) · Zbl 0175.39001
[4] Berger, A. J.; Lapidus, L., Introduction to the stability of distributed systems via Lyapunov functions, A. I. Ch. E. Jl, Vol. 14, 558-566 (1968)
[5] Kastenberg, W. E., On the stability of equilibrium of distributed parameter feedback control systems, Int. J. Control, Vol. 6, 523-532 (1967) · Zbl 0189.46205
[6] Crawford, R. M.; Kastenberg, W. E., Stability analysis of distributed parameter systems in a Banach space, Int. J. Control, Vol. 12, 929-943 (1970) · Zbl 0212.47403
[7] Khatri, H. C., Stability conditions for a class of distributed parameter systems, J. Franklin Inst., Vol. 29, 43-56 (1971) · Zbl 0305.93039
[8] Jumarie, G., A practical criterion for the input-output stability of distributed-parameter systems with space dependent coefficients, Int. J. Control, Vol. 21, 285-292 (1975) · Zbl 0296.93034
[9] Kastenberg, W. E., On asymptotic stability of nonlinear distributed parameter energy systems, Int. J. Control, Vol. 19, 73-79 (1973) · Zbl 0275.93039
[10] Sakawa, Y.; Mutsushita, T., Feedback stabilization of a class of distributed systems and construction of a state estimator, IEEE Trans. Aut. Control, Vol. AC-20, 748-753 (1975) · Zbl 0319.93039
[11] Wonham, W. M., On pole assignment in multi-input controllable linear systems, IEEE Trans. Aut. Control, Vol. AC-12, 660-665 (1967)
[12] Fujii, N., Feedback stabilization of distributed parameter systems by a functional observer, SIAM J. Control Optimiz, Vol. 28, 108-119 (1980) · Zbl 0428.93047
[13] Fattorini, H. O., Some remarks on complete controllability, SIAM J. Contr., Vol. 4, 391-402 (1966) · Zbl 0155.15903
[14] Fattorini, H. O., A remark on the bang-bang for linear control systems in infinite dimensional space, SIAM J. Control, Vol. 6, 349-352 (1968) · Zbl 0162.14404
[15] Vidyasagar, M.; Higgins, T. J., A controllability criterion for stable linear systems, IEEE Trans. Aut. Control, AC-15, 391-395 (1970)
[16] Fattorini, H. O.; Russel, D. L., Exact controllability theorems for linear equations in one space dimension, Arch. Rational Mech. Anal., Vol. 43, 275-280 (1971)
[17] Herget, C. J., On the controllability of distributed parameter systems, Int. J. Control, Vol. 11, 827-833 (1970) · Zbl 0194.45704
[18] Kobayashi, T., Some remarks on controllability for distributed parameter systems, SIAM J. Control Optimiz, Vol. 18, 733-742 (1978) · Zbl 0408.35013
[19] McGlothin, G. E., A modal control for distributed systems with applications to boundary controllability, Int. J. Control, Vol. 20, 417-432 (1974) · Zbl 0286.93022
[20] Kobayashi, T., Discrete time controllability for distributed parameter systems, Int. J. Syst. Sci., Vol. 11, 1063-1074 (1980) · Zbl 0537.93011
[21] McGlothin, G. E., Controllability, observability and duality in a distributed parameter system with continuous and point spectrum, IEEE Trans. Aut. Control, Vol. AC-23, 627-690 (1978) · Zbl 0393.93006
[22] Triggiani, R., Controllability and observability in Banach space with bounded operators, SIAM J. Control, Vol. 13, 462-465 (1975) · Zbl 0268.93007
[23] Butkovsky, A. G.; Lerner, A. Y., The optimal control of systems with distributed parameters, Autom. Remote Control, Vol. 21, 472-477 (1960) · Zbl 0097.29803
[24] Wang, P. K.C., Control of distributed parameter systems, (Leondes, C., Advances in Control Systems, Vol. 1 (1964), Academic Press: Academic Press New York), 75-172 · Zbl 0125.32802
[25] Wang, P. K.C., Theory of stability and control for distributed parameter systems, Int. J. Control, Vol. 17, 101-120 (1968), (a bibliography) · Zbl 0175.39001
[26] Butkovsky, A. C.; Egorov, A. I.; Lurie, K. A., Optimal control of distributed systems, SIAM J. Control, Vol. 6, 437-476 (1968), (a survey of Soviet publications) · Zbl 0162.40304
[27] Brogan, W. L., Optimal control theory applied to systems described by partial differential equations, (Leondes, C., Advances in Control Systems (1968), Academic Press) · Zbl 0211.45604
[28] Lions, J. L., Optimal Control of Systems Governed by Partial Differential Equations (1971), Springer · Zbl 0203.09001
[29] Ahmed, N. U.; Teo, K. L., Optimal Control of Distributed Parameter Systems (1981), North-Holland-Elsevier · Zbl 0472.49001
[30] Robinson, A. C., A survey of optimal control of distributed parameter systems, Automatica, Vol. 7, 371-388 (1971) · Zbl 0218.49001
[31] Tzafestas, S. G., Optimal distributed parameter control using classical variational theory, Int. J. Control, Vol. 12, 593-608 (1970) · Zbl 0199.48601
[32] Johnson, T. L.; Athans, M., A minimum principle for smooth first-order distributed systems, IEEE Trans. Aut. Control, Vol. AC-19, 136-139 (1974) · Zbl 0301.49008
[33] Stavroulakis, P.; Tzafestas, S., Matrix minimum principle for distributed parameter control systems, Int. J. Syst. Sci., Vol. 11, 793-801 (1980) · Zbl 0452.49027
[34] Fond, S., A dynamic programming approach to the maximum principle of distributed parameter systems, J. Optimiz. Theory Appl., Vol. 27, 583-601 (1979) · Zbl 0378.49015
[35] Tzafestas, S. G., Multiplayer distributed parameter differential games with sampled state feedback control, Int. J. Syst. Sci., Vol. 10, 989-1005 (1979) · Zbl 0414.49007
[36] Tzafestas, S. G., Hierarchical control of distributed parameter systems using Stackelberg policies, Int. J. Syst. Sci., Vol. 12, 719-744 (1981) · Zbl 0465.93002
[37] Yu, T. K.; Seinfeld, J. H., Suboptimal control of stochastic distributed parameter systems, A. I. Ch. E. Jl, Vol. 19, 389-392 (1973)
[38] Vermeychuk, J. G.; Lapidus, L., Suboptimal feedback control of distributed systems, Part I, A. I. Ch. E. Jl, Vol. 19, 123-129 (1973)
[39] Vermeychuk, J. G.; Lapidus, L., Suboptimal feedback control of distributed systems, Part II, A. I. Ch. E. Jl, Vol. 19, 129-137 (1973)
[40] Chaudhuri, S. P., Optimal control computational techniques of a class of nonlinear distributed parameter systems, Int. J. Control, Vol. 15, 419-432 (1972) · Zbl 0227.49016
[41] Sholar, M. S.; Wiberg, D. M., Canonical equations of boundary feedback control of stochastic distributed parameter systems, Automatica, Vol. 8, 287-298 (1972) · Zbl 0243.93033
[42] Tzafestas, S. G., Parameter adaptive control of stochastic distributed systems, Int. J. Syst. Sci., Vol. 11, No. 12, 1397-1433 (1980) · Zbl 0455.93039
[43] Vidyasayar, M.; Higgins, T. J., A basic theorem of distributed control and point control, Trans. ASME Dyn. Syst. Meas. Control, 64-67 (1973) · Zbl 0266.93025
[44] Wang, P. K.C., Optimal control of parabolic systems with boundary conditions having time delays, SIAM J. Control Optimiz, Vol. 13, 274-293 (1975) · Zbl 0301.49009
[45] Knowles, G., Time optimal control of parabolic systems with boundary conditions involving time delays, J. Optimiz. Theory Appl., Vol. 21, 563-574 (1979) · Zbl 0368.49007
[46] Baum, R. F., Necessary conditions for distributed parameter systems with controls of fewer variables than state variables, J. Optimiz. Theory Appl., Vol. 30, 663-681 (1980) · Zbl 0397.49021
[47] Porter, B.; Bradshaw, A., Modal control of a class of distributed parameter systems, Int. J. Control, Vol. 15, 673-681 (1972) · Zbl 0231.93016
[48] Johnson, C. R.; Montgomery, R. C., A distributed system adaptive control strategy, IEEE Trans. Aerospace and Electronic Syst., Vol. AES-15, 601-612 (1979)
[49] Martin, J. C.E., Dynamic selection of actuators for lumped and distributed parameter systems, IEEE Trans. Aut. Control, Vol. AC-24, 70-77 (1979) · Zbl 0399.49006
[50] Aidarous, S. E.; Gevers, M. R.; Installe, M. J., Optimal point-wise discrete control and controllers allocation strategies for stochastic distributed systems, Int. J. Control, Vol. 24, 493-508 (1976) · Zbl 0332.93084
[51] Malandrakis, C. G., Optimal sensor and controller allocation for a class of distributed parameter systems, Int. J. Syst. Sci., Vol. 10, 1283-1299 (1979) · Zbl 0439.93034
[52] Wang, P. K.C., Control of distributed parameter systems, (Leondes, C., Advances in Control Systems, Vol. 1 (1964)) · Zbl 0204.17202
[53] Sakawa, Y., Observability and related problems for partial differential equations of parabolic type, SIAM J. Control, Vol. 13, 14-27 (1975) · Zbl 0296.93006
[54] Goodson, R. E.; Klein, R. E., A definition and some results for distributed system observability, IEEE Trans. Aut. Control, Vol. AC-15, 165-174 (1970)
[55] Yu, T. K.; Seinfeld, J. H., Observability of a class of distributed parameter systems, IEEE Trans. Aut. Control, Vol. AC-16, 495-500 (1971)
[56] Yu, T. K.; Seinfeld, J. H., Observability and optimal measurement location in linear distributed parameter systems, Int. J. Control, Vol. 18, 785-789 (1973) · Zbl 0263.93010
[57] Kobayashi, T., Discrete time observability for distributed parameter systems, Int. J. Control, Vol. 31, 181-193 (1980) · Zbl 0462.93011
[58] Kalman, R. E.; Bucy, R. S., New results in linear filtering and prediction theory, Trans. Am. Soc. Mech. Engrs., J. Bas. Engng., Vol. 83, 95-108 (1961)
[59] Meditch, J., On optimal linear smoothing theory, Inf. Control, Vol. 10, 598-605 (1967) · Zbl 0309.93039
[60] Cox, H., On the estimation of state variables and parameters of noisy dynamic systems, IEEE Trans. Aut. Control, Vol. 9, 5-12 (1964)
[61] Kushner, H., Nonlinear filtering: The exact dynamic equations satisfied by the conditional mode, IEEE Trans. Aut. Control, Vol. AC-12, 262-267 (1967)
[62] Lainiotis, D. G., Optimal adaptive estimation: Structure and parameter adaption, IEEE Trans. Aut. Control, Vol. AC-16, 160-170 (1971)
[63] Lainiotis, D. G., Partitioning: A unifying framework for adaptive systems, I: Estimation, Proc. IEEE, Vol. 64, 1126-1143 (1976)
[64] Handschin, J., Monte Carlo techniques for prediction and filtering of non-linear stochastic processes, Automatica, Vol. 6, 555-563 (1970) · Zbl 0203.47402
[65] Kushner, H. J., Filtering for linear distributed parameter systems, SIAM J. Control, Vol. 8, 346-359 (1970) · Zbl 0206.16202
[66] Sakawa, Y., Optimal filtering of distributed parameter systems, Int. J. Control, Vol. 16, 115-127 (1972) · Zbl 0236.93052
[67] Nagamine, H.; Omatu, S.; Soeda, T., The optimal filtering problem for a discrete-time distributed parameter system, Int. J. Syst. Sci., Vol. 10, 735-749 (1979) · Zbl 0411.93036
[68] Padmanabhan, L.; Calantuoni, G., Sequential estimation in distributed systems, Int. J. Syst. Sci., Vol. 5, 973-986 (1974) · Zbl 0291.62123
[69] Bencala, K. E.; Seinfeld, J. H., Distributed parameter filtering: Boundary noise and discrete observations, Int. J. Syst. Sci., Vol. 10, 493-512 (1979) · Zbl 0404.93043
[70] Meditch, J. S., Least squares estimation for distributed parameter systems, Automatica, Vol. 7, 315-322 (1971) · Zbl 0216.55605
[71] Curtain, R., A survey of infinite-dimensional filtering, SIAM Rev., Vol. 17, 395-411 (1975) · Zbl 0308.60022
[72] Seinfeld, J. H.; Gavalas, G. R.; Hwang, M., Nonlinear filtering in distributed parameter systems, Trans. Am. Soc. Mech. Engrs., J. Dyn. Syst., Meas. Control, Vol. 93, 157-163 (1971)
[73] Yu, T. K.; Seinfeld, J. H.; Ray, W. H., Filtering in nonlinear time delay systems, IEEE Trans. Aut. Control, Vol. AC-19, 327-335 (1974)
[74] Ray, W. H.; Seinfeld, J. H., Filtering in distributed parameter systems with moving boundaries, Automatica, Vol. 11, 509-515 (1975)
[75] Meditch, J. S., On state estimation for DPS, J. Franklin Inst., Vol. 290, 49-59 (1970) · Zbl 0289.93045
[76] Tzafestas, S. G., Bayesian approach to distributed parameter filtering and smoothing, Int. J. Control, Vol. 15, 273-295 (1972) · Zbl 0237.93056
[77] Tzafestas, S. G., On the distributed parameter least-square state estimation theory, Int. J. Syst. Sci., Vol. 4, 833-858 (1973) · Zbl 0275.93053
[78] Omatu, S.; Soeda, T.; Tomita, Y., Linear fixed-point smoothing by using functional analysis, IEEE Trans. Aut. Control, Vol. AC-22, 9-18 (1977) · Zbl 0346.93045
[79] Omatu, S.; Ohe, S.; Soeda, T., Fixed interval smoothing for linear distributed parameter systems, Int. J. Syst. Sci., Vol. 10, 1219-1233 (1979) · Zbl 0427.93044
[80] Tzafestas, S. G., On optimum distributed parameter filtering and fixed-interval smoothing for colored noise, IEEE Trans. Aut. Control, Vol. AC-17, 448-458 (1972) · Zbl 0259.93051
[81] Watanabe, K., Optimal filtering and smoothing algorithms for linear distributed parameter systems with pointwise observations, Int. J. Syst. Sci., Vol. 12, 325-349 (1981) · Zbl 0457.93053
[82] Tzafestas, S. G., Nonlinear distributed-parameter filtering using the Fokker-Planck equation, J. Franklin Inst., Vol. 301, 429-449 (1976) · Zbl 0334.93047
[83] Hwang, M.; Seinfeld, J. H.; Gavalas, G., Optimal least-square filtering and interpolation in distributed parameter systems, J. Math. Anal. Appl., Vol. 39, 49-74 (1972) · Zbl 0204.47403
[84] Detchmendy, D. M.; Sridhar, R., Sequential estimation of states and parameters in noisy nonlinear dynamical systems, Trans. Am. Soc. Mech. Engrs., J. Bas. Engng., Vol. 88, 362-366 (1966)
[85] Kugiwada, H., Invariant imbedding and sequential interpolating filters for nonlinear processes, Trans. Am. Soc. Mech. Engrs., J. Bas. Engng., Vol. 91, 195-200 (1969)
[86] Sahgal, R.; Webb, R. R., Smoothing algorithms for nonlinear distributed parameter systems, Automatica, Vol. 12, 239-244 (1976) · Zbl 0329.93033
[87] Watanabe, K.; Yoshimura, T.; Soeda, T., Optimal nonlinear estimation for distributed parameter systems via the partition theorem, Int. J. Syst. Sci., Vol. 11, 1113-1130 (1980) · Zbl 0449.93054
[88] Tzafestas, S.; Stavroulakis, P., Partitioning approach to adaptive distributed parameter filtering, Ric. Aut., Vol. 11, 51-71 (1980) · Zbl 0506.93058
[89] Tzafestas, S.; Stavroulakis, P., Partitioned adaptive filtering and control of distributed systems with space-dependent unknown parameters, Math. Comp. Simul. Proc. IMACS, Vol. 23, 206-212 (1981) · Zbl 0474.93059
[90] Watanabe, K., An alternative approach to the derivation of distributed-type partitioned filters, Int. J. Syst. Sci., Vol. 12, 325-349 (1981) · Zbl 0457.93053
[91] Luenberger, D., An introduction to observers, IEEE Trans. Aut. Control, Vol. AC-16, 596-602 (1971)
[92] Liu, Y. A.; Lapidus, L., Observer theory of distributed parameter systems, Int. J. Syst. Sci., Vol. 7, 731-742 (1976) · Zbl 0328.93008
[93] Furusho, J.; Kanoh, H.; Masubuchi, M., Observers for bilinear distributed-parameter processes, Proc. 2nd IFAC Symp. on Control of DPS (1978), Pergamon Press · Zbl 0405.93034
[94] Stavroulakis, P.; Tzafestas, S., Distributed-parameter observer-based control implementation using finite spatial measurements, Math. Comp. Simul. Proc. IMACS, Vol. 22, 373-379 (1980) · Zbl 0447.93030
[95] Special Issue on Identification and System Parameter Estimation, Automatica, Vol. 17, No. 1 (1981)
[96] Kubrusly, C. S., Distributed parameter systems identification: A survey, Int. J. Control, Vol. 26, 504-535 (1977) · Zbl 0405.93012
[97] Sunahara, Y.; Ohsumi, A.; Imamura, M., A method of parameter identification for linear distributed parameter systems, Automatica, Vol. 12, 245-256 (1976) · Zbl 0331.93072
[98] Carotenuto, L.; Raiconi, G., Identifiability and identification of a Galerkin approximation for a class of distributed parameter systems, Int. J. Syst. Sci., Vol. 11, 1035-1049 (1980) · Zbl 0494.93013
[99] Kobayashi, T., Initial state determination for distributed parameter systems, SIAM J. Control Optimiz., Vol. 14, 934-944 (1976) · Zbl 0333.93022
[100] Kobayashi, T., A well-posed approximate method for initial state determination of discrete-time distributed parameter systems, SIAM J. Control Optimiz., Vol. 15, 947-958 (1977) · Zbl 0376.93023
[101] Caravani, P.; Ciaffi, M., Approximate state recovery of a distributed parameter system, IEEE Trans. Aut. Control, Vol. AC-23, 1067-1074 (1978) · Zbl 0406.93021
[102] Kobayashi, T., Determination of unknown function for a class of distributed parameter systems, SIAM J. Control Optimiz., Vol. 17, 469-474 (1979) · Zbl 0456.93015
[103] Phillipson, G. A., Identification of Distributed Systems (1971), Elsevier: Elsevier New York · Zbl 0221.93003
[104] Saha, D. C.; Rao, G. P., Identification of distributed parameter systems via multidimensional distributions, Proc. IEE, Vol. 127, 45-50 (1980)
[105] Tzafestas, S. G., Parameter estimation in distributed-parameter dynamic models, Inst. Chem. Engrs. Symp. Ser., No. 35, 5:43-5:50 (1972), London
[106] R. E. Goodson and M. P. Polis, “A survey of parameter identification in distribution systems”, in “Proc. IFAC 1975 World Congress”, Boston/Cambridge.; R. E. Goodson and M. P. Polis, “A survey of parameter identification in distribution systems”, in “Proc. IFAC 1975 World Congress”, Boston/Cambridge. · Zbl 0313.93012
[107] Goodson, R. E.; Polis, M. P., Parameter Identification in Distributed Systems: A Synthesizing Overview, ASME Monograph (1974) · Zbl 0313.93012
[108] Porter, W. A., Sensitivity problems in distributive systems, Int. J. Control, Vol. 5, 393-412 (1967)
[109] Porter, W. A., Parameter sensitivity in distributed feedback systems, Int. J. Control, Vol. 5, 413-423 (1967)
[110] Pedersen, K. C.; Nardizzi, L. R., Optimally sensitive control for distributed parameter systems, Int. J. Control, Vol. 116, 723-735 (1972) · Zbl 0241.93011
[111] Cruz, J. B.; Perkins, W. R., A new approach to the sensitivity problem in multivariable feedback system design, IEEE Trans. Aut. Control, Vol. AC-9, 216-223 (1964)
[112] Davis, J. M.; Perkins, W. R., Comparison sensitivity of distributed parameter systems, IEEE Trans. Aut. Control, AC-17, 100-105 (1972) · Zbl 0259.93009
[113] Kuo, M. C.Y.; Ayiku, M. N.B., Synthesis of low sensitivity optimal control in distributed parameter systems, Proc. IEE, Vol. 125, 550-554 (1978)
[114] Nakamiri, Y.; Miyamoto, S.; Ikeda, S.; Sawaragi, Y., Measurement optimization with sensitivity criteria for distributed parameter systems, IEEE Trans. Aut. Control, Vol. AC-25, 889-901 (1980) · Zbl 0444.93027
[115] Tzafestas, S., Distributed-parameter optimal control via mathematical programming, J. Franklin Inst., Vol. 309, 399-438 (1980) · Zbl 0446.90078
[116] Wang, P.; Tung, F., Optimum control of distributed parameter systems, Trans. ASME, J. Bas. Engng., Vol. 86, 67-79 (1964)
[117] Tzafestas, S.; Nightingale, J., Differential-dynamic programming approach to optimal nonlinear DP control systems, Proc. IEE, Vol. 116, 1078-1084 (1969)
[118] Orner, P. A.; Salamon, P. F.; Yu, W., Least squares simulation of distributed systems, IEEE Trans. Aut. Control, Vol. AC-20, 75-83 (1979) · Zbl 0299.65038
[119] Sheirah, M. A.; Hamza, M. H., Optimal control of distributed parameter systems, Int. J. Control, Vol. 19, 891-902 (1974) · Zbl 0287.49014
[120] Sasai, H., A note on the Penalty Method for distributed parameter optimal control problem, SIAM J. Control, Vol. 10, 730-736 (1972) · Zbl 0225.49035
[121] Cornick, D. E.; Michel, A. N., Numerical optimization of distributed parameter systems by the conjugate gradient method, IEEE Trans. Aut. Control, Vol. AC-17, 358-362 (1972) · Zbl 0266.49029
[122] Cornick, D. E.; Michel, A. N., Numerical optimization of linear distributed parameter systems, J. Optimiz. Theory Appl., Vol. 14, 73-98 (1974) · Zbl 0263.65073
[123] Ball, D. J.; Hewit, J. R., An optimal control problem for a class of distributed parameter systems, Automatica, Vol. 9, 263-267 (1973) · Zbl 0248.49019
[124] Yavin, Y.; Rasis, Y., The bounded energy optimal control for a class of heat conduction systems, Int. J. Control, Vol. 11, 153-164 (1970) · Zbl 0192.51402
[125] Singh, R. N.P.; Rajamani, V. S., Minimal-time control of distributed-parameter systems with multiple-norm constraints on the control function, Int. J. Control, Vol. 15, 241-254 (1972) · Zbl 0226.49003
[126] Zone, G.; Chang, K. S., A successive approximation method for nonlinear distributed parameter control systems, Int. J. Control, Vol. 15, 255-272 (1972) · Zbl 0226.49028
[127] Mitter, S. K., Successive approximation methods for the solution of optimal control problems, Automatica, Vol. 3, 133-140 (1966) · Zbl 0229.49021
[128] Tzafestas, S. G., Design of DP optimal controllers and filters via Walsh-Galerkin expansion, Proc. IFAC Symp. on Control of DPS (June 1977), Warwick Univ
[129] Holliday, J. H.; Storey, C., Numerical solution of certain nonlinear distributed parameter optimal control problems, Int. J. Control, Vol. 18, 812-825 (1973) · Zbl 0276.49022
[130] Tzafestas, S. G., Distributed parameter control in function space, J. Franklin Inst., Vol. 295, 317-342 (1973) · Zbl 0297.49032
[131] Kranc, G.; Sarachik, P. E., An application of functional analysis to the optimal control problem, Trans. ASME, J. Basic Engng., Vol. 85, 143-150 (1963)
[132] Balakrishnan, A., An operator theoretic formulation of a class of control problems and a steepest descent method of solution, SIAM J. Control, Vol. 1, 109-127 (1963) · Zbl 0201.48502
[133] Sasai, H.; Shimemura, E., On the convergence of approximating solutions for linear distributed parameter control problems, SIAM J. Control, Vol. 9, 263-273 (1977) · Zbl 0226.49027
[134] Knowles, G., Some problems in the control of distributed systems and their numerical solution, SIAM J. Control Optimiz., Vol. 17, 5-22 (1977) · Zbl 0414.49013
[135] Tzafestas, S. G., Final-value control of nonlinear composite distributed and lumped parameter systems, J. Franklin Inst., Vol. 290, 439-450 (1970) · Zbl 0306.93014
[136] Friedman, M.; Yavin, Y., Computation of optimal controls for two classes of nonlinear distributed parameter systems, Int. J. Control, Vol. 18, 705-712 (1973) · Zbl 0276.49025
[137] Aidarous, S. E.; Ghonaimy, M. A.R., A direct method for optimization of stochastic distributed system, Automatica, Vol. 11, 203-207 (1977) · Zbl 0305.93060
[138] Aidarous, S. E.; Gevers, M. R.; Installé, M. J., Optimal sensors allocation strategies for a class of stochastic distributed systems, Int. J. Control, Vol. 22, 197-213 (1975) · Zbl 0311.93056
[139] Chen, W. H.; Seinfeld, J. H., Optimal location of process measurement, Int. J. Control, Vol. 21, 1003-1008 (1975) · Zbl 0322.93042
[140] Canon, J. R.; Klein, R. E., Optimal selection of measurement location in a conductor for approximate determination of temperature distribution, Proc. Joint. Aut. Control Conf. (1970)
[141] Omatu, S.; Koide, S.; Soeda, T., Optimial sensor location problems for a linear distributed parameter system, IEEE Trans. Aut. Control, Vol. AC-23, 665-673 (1978) · Zbl 0381.93045
[142] Kumar, S.; Seinfeld, J. H., Optimal location of measurement for distributed parameter estimation, IEEE Trans. Aut. Control, Vol. AC-23, 690-698 (1978) · Zbl 0381.93047
[143] Fox, L., Numerical Solution of Ordinary and Partial Differential Equations (1962), Pergamon Press: Pergamon Press Oxford · Zbl 0101.09904
[144] Vichnevetsky, R., Generalized finite difference approximation for the parallel solution of initial-value problems, Simulation, Vol. 13, 233-237 (1969)
[145] Karplus, W., Software for distributed system simulation, (Cellier, F., Proc. I ASTED Simulation Course, Interlaken, Switzerland, 23-24 June (1982), Academic Press), 293-308, Progress in Modeling and Simulation
[146] Vichnevetsky, R., A new stable computing method for the serial hybrid computer integration of PDEs, Proc. 1968 SJCC, Vol. 32, 143-150 (1968)
[147] Vichnevetsky, R., Use of functional approximation methods in the computer solution of initial-value PDE problems, IEEE Trans. Comput., Vol. C-18, 499-512 (1969) · Zbl 0177.20503
[148] Vichnevetsky, R., Physical criteria in computer methods for PDEs, Ann. AICA, 3-16 (1974) · Zbl 0282.68056
[149] Vichnevetsky, Propagation characteristic of semidiscretizations of hyperbolic equations, Math. Comp. Simul. Proc. IMACS, Vol. 22, 98-107 (1980) · Zbl 0431.65071
[150] Tzafestas, S., Hybrid simulation of distributed-parameter systems: The-state-of-the-art, (Cellier, F., Progress in Modeling and Simulation (1982), Academic Press), 209-345
[151] Tzafestas, S., Monte Carlo simulation and filtering in DPS, (Tzafestas, S., Simulation of Distributed-Parameter and Large-Scale Systems (1980), North-Holland), 13-31 · Zbl 0444.93026
[152] Sagerlind, L., Applied Finite Element Analysis (1976), Wiley · Zbl 0404.73064
[153] Cavin, R.; Tandon, S., Distributed parameter optimal control design via finite elements, Automatica, Vol. 13, 611 (1977) · Zbl 0374.49019
[154] Carotenuto, L.; Raiconi, G., The finite element method in distributed parameter control systems, Distributed Parameter Control Systems: Theory and Application (1982), Pergamon Press: Pergamon Press Oxford · Zbl 0559.93026
[155] Ray, W. H., Some recent applications of distributed parameter systems theory—A survey, Automatica, Vol. 14, 281-287 (1978) · Zbl 0375.93030
[156] Lausterer, G. K.; Ray, W. H., Distributed parameter state estimation and optimal feedback control—An experimental study in two space dimensions, IEEE Trans. Aut. Control, Vol. AC-24, 179-190 (April, 1979) · Zbl 0418.93078
[157] Desalu, A. A.; Gould, L. A.; Schweppe, F. C., Dynamic estimation of air polution, IEEE Trans. Aut. Control, Vol. AC-19, 904-910 (1974)
[158] (Tzafestas, S. G., Distributed-Parameter Control Systems: Theory and Application (1982), Pergamon Press: Pergamon Press Oxford) · Zbl 0539.00030
[159] (Banks, S.; Pritchard, A., Control of Distributed-Parameter Systems. Control of Distributed-Parameter Systems, Proc. IFAC. Symp. (1978), Pergamon Press: Pergamon Press Oxford) · Zbl 0393.00019
[160] Tzafestas, S. G., Simulation of Distributed-Parameter and Large-scale Systems, Proc. IMACS Symp. (1980), North-Holland: North-Holland Amsterdam · Zbl 0424.00031
[161] (Ray, W. H.; Lainiotis, D. G., Distributed-Parameter Systems (1978), Marcel Dekker: Marcel Dekker New York) · Zbl 0476.00031
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