[1] |
Bensoussan, A., Filtrage Optimal des Systèmes Linéaires (1971), Dunod, Paris · Zbl 0231.93022 |
[2] |
Balakrishnan, A. V., Applied Functional Analysis (1976), Springer: Springer Berlin · Zbl 0333.93051 |
[3] |
Ajinkya, M. B.; Köhne, M.; Mäder, H. F.; Ray, W. H., The experimental implementation of a distributed parameter filter, Automatica, Vol. 11, 571-577 (1975) |
[4] |
Koda, M.; Seinfeld, J. H., Estimation of urban air pollution, Automatica, Vol. 14, 583-595 (1978) · Zbl 0385.92020 |
[5] |
Yoshimura, T.; Okamoto, Y.; Soeda, T., Prediction of air pollutant concentrations in Tokushima prefecture, Japan, Automatica, Vol. 17, 493-508 (1981) · Zbl 0468.93075 |
[6] |
Yoshimura, T.; Okamoto, Y.; Watanabe, K.; Soeda, T., Construction of a diffusion model for the prediction of \(SO_2\) concentration, Trans. Soc. Inst. Contr. Engrs, Vol. 17, 461-466 (1981), (in Japanese). |
[7] |
Seinfeld, J. H.; Gavalas, G. R.; Hwang, M., Nonlinear filtering in distributed parameter systems, Trans. ASME, J. Dynamic Systems Meas. Control, Vol. 93, 157-163 (1971) |
[8] |
Ajinkya, M. B., The application of an approximate nonlinear filter to systems governed by coupled ordinary and partial differential equations, Int. J. Syst. Sci., Vol. 6, 313-332 (1975) · Zbl 0306.93029 |
[9] |
Thau, F. E., On optimal filtering for a class of linear distributed parameter systems, Trans. ASME, Series D, J. bas. Engng, Vol. 91, 173-178 (1969) |
[10] |
Ray, W. H.; Seinfeld, J. H., Filtering in distributed parameter systems with moving boundaries, Automatica, Vol. 11, 509-515 (1975) |
[11] |
Lausterer, G. K.; Ray, W. H.; Martens, H. R., Real time distributed parameter state estimation applied to a two dimensional heated ingot, Automatica, Vol. 14, 335-344 (1978) · Zbl 0391.93016 |
[12] |
Greiss, F. K.; Ray, W. H., Stochastic control of processes having moving boundaries—An experimental study, Automatica, Vol. 16, 157-166 (1980) · Zbl 0433.93054 |
[13] |
Tzafestas, S. G., Innovation approach to distributed-parameter detection and estimation, Int. J. Syst. Sci., Vol. 9, 147-184 (1978) · Zbl 0376.93025 |
[14] |
Tzafestas, S. G.; Nightingale, J. M., Stochastic distributed filtering approach to gamma-ray imaging, Int. J. Syst. Sci., Vol. 7, 1249-1274 (1976) |
[15] |
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 |
[16] |
Ray, W. H.; Lainiotis, D. G., Identification, estimation and control of distributed parameter systems (1978), Marcel Dekker: Marcel Dekker New York · Zbl 0476.00031 |
[17] |
Balas, M. J., Feedback control of flexible systems, IEEE Trans. Aut. Control, Vol. AC-23, 673-679 (1978) · Zbl 0381.93012 |
[18] |
Balas, M. J., Modal control of certain flexible dynamic systems, SIAM J. Control Optiz., Vol. 16, 450-462 (1978) · Zbl 0384.93036 |
[19] |
Meirovitch, L.; Öz, Modal-space control of distributed gyroscopic systems, AIAA J. Guidance Control, Vol. 3, 140-150 (1980) · Zbl 0435.93004 |
[20] |
Smith, G. L.; Green, R. N.; Young, G. R., Statistical interpretation of pollution data from satellite, J. Spacecraft, Vol. 12, 374-380 (1975) |
[21] |
Lions, J. L., Optimal Control of Systems Governed by Partial Differential Equations (1971), Springer · Zbl 0203.09001 |
[22] |
Lainiotis, D. G., Optimal adaptive estimation: structure and parameter adaption, IEEE Trans. Aut. Control, Vol. AC-16, 160-170 (1971) |
[23] |
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 |
[24] |
Omatu, S.; Soeda, T., Optimal estimation problems for a linear distributed parameter systems, Int. J. Syst. Sci., Vol. 9, 753-771 (1978) · Zbl 0389.93047 |
[25] |
Kailath, T., An innovation approach to least-squares estimation, Part I: Linear filtering in additive white noise, IEEE Trans. Aut. Control, Vol. AC-13, 646-655 (1968) |
[26] |
Sawaragi, Y.; Soeda, T.; Omatu, S., Modeling, estimation, and their applications for distributed parameter systems, Lecture Notes in Contr. and Inf. Sci., Vol. 11 (1978), Springer · Zbl 0392.93001 |
[27] |
Kailath, T., A general likelihood-ratio formula for random signals in Gaussian noise, IEEE Trans. Inf. Theory, Vol. IT-15, 350-361 (1969) · Zbl 0172.42805 |
[28] |
Lainiotis, D. G., Optimal nonlinear estimation, Int. J. Control, Vol. 14, 1137-1148 (1971) · Zbl 0225.93034 |
[29] |
Lainiotis, D. G., Partitioned estimation algorithms, I: Nonlinear estimation, Inf. Science, Vol. 7, 203-235 (1974) · Zbl 0301.62050 |
[30] |
Lainiotis, D. G., Partitioned estimation algorithms, II: Linear estimation, Inf. Science, Vol. 7, 317-340 (1974) · Zbl 0301.62051 |
[31] |
Lainiotis, D. G., A unifying framework for linear estimation: Generalized partitioned algorithms, Inf. Science, Vol. 10, 243-278 (1976) · Zbl 0341.93029 |
[32] |
Ljung, L.; Kailath, T., Efficient change of initial conditions, dual Chandrasekhar equations, and some applications, IEEE Trans. Aut. Control, Vol. AC-22, 443-447 (1977) · Zbl 0354.93066 |
[33] |
Bucy, R. S.; Joseph, P. D., Filtering for Stochastic Processes with Application to Guidance (1968), Wiley: Wiley New York · Zbl 0174.21903 |
[34] |
Balakrishnan, A. V., Identification-inverse problems for partial differential equations: A stochastic formulation, Lecture Notes in Computer Science, Vol. 27 (1975), Springer: Springer Berlin · Zbl 0313.93025 |
[35] |
Tzafestas, S. G., Parameter adaptive control of stochastic distributed systems, Int. J. Syst. Sci., Vol. 11, 1397-1433 (1980) · Zbl 0455.93039 |
[36] |
Watanabe, K.; Yoshimura, T.; Soeda, T., Optimal non-linear estimation for distributed-parameter systems via the partition theorem, Int. J. Syst. Sci., Vol. 11, 1113-1130 (1980) · Zbl 0449.93054 |
[37] |
Watanabe, K., An alternative approach to the derivation of distributed-type partitioned filters, Int. J. Syst. Sci., Vol. 12, No. 3, 351-356 (1981) · Zbl 0468.93074 |
[38] |
Watanabe, K.; Yoshimura, T.; Soeda, T., A discrete-time adaptive filter for stochastic distributed parameter systems, Trans. ASME, J. Dynamic Syst. Meas. Control, Vol. 103, 266-278 (1981) · Zbl 0464.93078 |
[39] |
Watanabe, K.; Yoshimura, T.; Soeda, T., Optimal adaptive estimation and stochastic control for distributed-parameter systems, IEEE Trans. Aut. Control, Vol. AC-27, 216-219 (1982) · Zbl 0471.93060 |
[40] |
Lainiotis, D. G.; Deshpande, J. G.; Upadhyay, T. N., Optimal adaptive control: A non-linear separation theorem, Int. J. Control, Vol. 15, 877-888 (1972) · Zbl 0234.93031 |
[41] |
Falb, P. L., Infinite-dimensional filtering: The Kalman-Bucy filter in Hilbert space, Inf. Control, Vol. 11, 102-137 (1967) · Zbl 0178.18902 |
[42] |
Bensoussan, A.; Viot, M., Optimal control of stochastic linear distributed parameter systems, SIAM J. Control, Vol. 13, 904-926 (1975) · Zbl 0276.93058 |
[43] |
Curtain, R. F., Infinite-dimensional filtering, SIAM J. Control, Vol. 13, 89-104 (1975) · Zbl 0296.93036 |
[44] |
Curtain, R. F., Estimation theory for abstract evolution equations excited by general white noise processes, SIAM J. Control Optimiz., Vol. 14, 1124-1150 (1976) · Zbl 0344.93064 |
[45] |
Curtain, R. F.; Pritchard, A. J., Infinite dimensional linear systems theory, Lecture Notes in Contr. and Inf. Sci., Vol. 8 (1978), Springer · Zbl 0426.93001 |
[46] |
Curtain, R. F.; Falb, P. L., Ito’s lemma in infinite dimensions, J. Math. Anal. Appl., Vol. 31, 434-448 (1970) · Zbl 0233.60051 |
[47] |
Kailath, T., Some new algorithms for recursive estimation in constant linear systems, IEEE Trans. Inf. Theory, Vol. IT-19, 750-760 (1973) · Zbl 0342.93053 |
[48] |
Tzafestas, S. G., On the distributed parameter least-squares state estimation theory, Int. J. Syst. Sci., Vol. 4, 833-858 (1973) · Zbl 0275.93053 |
[49] |
Wang, P. K.C., Control of distributed parameter systems, (Leondes, C. T., Advances in Control Systems, Vol. 1 (1964), Academic Press: Academic Press New York) · Zbl 0204.17202 |
[50] |
Nakamori, 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 |
[51] |
Koda, M., Finite difference implementation of distributed parameter filters, Automatica, Vol. 15, 687-692 (1979) · Zbl 0416.93091 |
[52] |
Sakawa, Y., Optimal filtering in linear distributed-parameter systems, Int. J. Control, Vol. 16, 115-127 (1972) · Zbl 0236.93052 |
[53] |
Watanabe, K., Optimal filtering and smoothing algorithms for linear distributed-parameter systems with pointwise observation, Int. J. Syst. Sci., Vol. 12, 325-349 (1981) · Zbl 0457.93053 |
[54] |
Lainiotis, D. G., Partitioned Riccati solution and integration-free doubling algorithms, IEEE Trans. Aut. Control, Vol. AC-21, 677-689 (1976) · Zbl 0344.93063 |
[55] |
Tzafestas, S. G., Eigenvalue and eigenfunction sensitivity of distributed-parameter systems (DPS), IEEE Trans. Aut. Control, Vol. AC-20, 172-174 (1975) · Zbl 0298.93004 |
[56] |
Mizohata, S., The Theory of Partial Differential Equations (1973), Cambridge University Press: Cambridge University Press London · Zbl 0263.35001 |
[57] |
Sidhu, G. S.; Bierman, G. J., Integration-free interval doubling for Riccati equation solutions, IEEE Trans. Aut. Control, Vol. AC-22, 831-834 (1977) · Zbl 0362.49026 |
[58] |
Kumar, S.; Seinfeld, J. H., Optimal location of measurements for distributed parameter estimation, IEEE Trans. Aut. Control, Vol. AC-23, 690-698 (1978) · Zbl 0381.93047 |
[59] |
Omatu, S.; Koide, S.; Soeda, T., Optimal sensor location problem for linear distributed parameter systems, IEEE Trans. Aut. Control, Vol. AC-23, 665-673 (1978) · Zbl 0381.93045 |
[60] |
Malandrakis, C. G., Optimal sensor and controller allocation for a class of distributed parameter systems, Int. J. Syst. Sci., Vol. 10, 1283-1290 (1979) · Zbl 0439.93034 |
[61] |
Ichikawa, A.; Ryan, E. P., Sensor and controller location problems for distributed parameter systems, Automatica, Vol. 15, 347-352 (1979) · Zbl 0408.93045 |
[62] |
Morari, M.; O’Dowd, M. J., Optimal sensor location in the presence of non-stationary noise, Automatica, Vol. 16, 463-480 (1980) · Zbl 0441.93038 |
[63] |
Watanabe, K., Generalized Chandrasekhar algorithms for distributed-parameter filtering problem with pointwise colored measurement noise, Int. J. Syst. Sci., Vol. 13, 619-637 (1982) · Zbl 0487.93070 |