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Domoshnitsky, Alexander (ed.) et al., Functional differential equations and applications, FDEA-2019. Proceedings of the 7th international conference, Ariel, Israel, September 22–27, 2019. Singapore: Springer. Springer Proc. Math. Stat. 379, 213-223 (2021).

Reviewer: Luca Lussardi (Torino)

MSC: 49K20 49J20 49S05

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Mastaliev, R. O.

First order necessary optimal conditions in Gursat-Darboux stochastic systems. (Russian. English summary) Zbl 1470.93166

Dal’nevost. Mat. Zh. 21, No. 1, 89-104 (2021).

MSC: 93E20 49K20

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Kamenskii, Mikhail; Liou, Yeong-Cheng; Wen, Ching-Feng; Zvereva, Margarita

On a hyperbolic equation on a geometric graph with hysteresis type boundary conditions. (English) Zbl 1435.35402

Optimization 69, No. 2, 283-304 (2020).

MSC: 35R02 35L53 49J52

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Ramazanova, Aysel T.; Kuliyev, Hamlet F.; Roesch, Arnd

An inverse problem for determining right hand side of equations for hyperbolic equation of fourth order. (English) Zbl 1524.49004

Adv. Differ. Equ. Control Process. 20, No. 2, 143-161 (2019).

MSC: 49J20 45Q05

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Astashova, I. V.; Filinovskiy, A. V.

On properties of minimizers of a control problem with time-distributed functional related to parabolic equations. (English) Zbl 1442.35176

Opusc. Math. 39, No. 5, 595-609 (2019).

MSC: 35K20 35Q93 35Q79 49J20

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Astashova, I. V.; Lashin, D. A.; Filinovskiĭ, A. V.

Control with point observation for a parabolic problem with convection. (English. Russian original) Zbl 1436.35221

Trans. Mosc. Math. Soc. 2019, 221-234 (2019); translation from Tr. Mosk. Mat. O.-va 80, No. 2, 259-274 (2019).

MSC: 35K20 35Q93 49J20 93C20

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Ramazanova, Aysel T.

On determining initial conditions of equations flexural-torsional vibrations of a bar. (English) Zbl 1424.49008

Eur. J. Pure Appl. Math. 12, No. 1, 25-38 (2019).

MSC: 49J20

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Kapustyan, Volodymyr O.; Pyshnograiev, Ivan O.; Kapustian, Olena A.

Quasi-optimal control with a general quadratic criterion in a special norm for systems described by parabolic-hyperbolic equations with non-local boundary conditions. (English) Zbl 1417.49022

Discrete Contin. Dyn. Syst., Ser. B 24, No. 3, 1243-1258 (2019).

Reviewer: Yekini Shehu (Nsukka)

MSC: 49K20

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Bandaliyev, Rovshan A.; Guliyev, Vagif S.; Mamedov, Ilgar G.; Rustamov, Yasin I.

Optimal control problem for Bianchi equation in variable exponent Sobolev spaces. (English) Zbl 1410.49027

J. Optim. Theory Appl. 180, No. 1, 303-320 (2019).

MSC: 49K27 49K20

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Perehuda, O. V.; Rusina, A. V.

Approximate synthesis of distributed optimal control for hyperbolic equations with rapidly oscillating coefficients. (English. Ukrainian original) Zbl 1384.49022

J. Math. Sci., New York 228, No. 3, 306-313 (2018); translation from Neliniĭni Kolyvannya 19, No. 4, 547-554 (2016).

MSC: 49K20 49M25 49N10 49N35

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Mansimov, K. B.; Suleĭmanova, V. A.

Necessary optimality conditions in the one boundary control problem for Goursat-Darboux systems. (Necessary optimality conditions in the one boundary control problem for Qoursat-Darboux systems.) (Russian. English summary) Zbl 07607617

Vestn. Tomsk. Gos. Univ., Mat. Mekh. 2017, No. 49, 26-42 (2017).

MSC: 34-XX 49-XX

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Astashova, I. V.; Lashin, D. A.; Filinovskiy, A. V.

On a model of optimal temperature control in hothouses. (Russian. English summary) Zbl 1392.49028

Vestn. Samar. Univ., Estestvennonauchn. Ser. 2016, No. 3-4, 14-23 (2016).

MSC: 49K20 35K05

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Kapustyan, Oleksiy V.; Rusina, Alina V.

On approximate regulator in linear-quadratic problem with distributed control and rapidly oscillating parameters. (English) Zbl 1366.49024

Sadovnichiy, Victor A. (ed.) et al., Advances in dynamical systems and control. Cham: Springer (ISBN 978-3-319-40672-5/hbk; 978-3-319-40673-2/ebook). Studies in Systems, Decision and Control 69, 403-415 (2016).

Reviewer: Dian K. Palagachev (Bari)

MSC: 49K20 49N10 35K20

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Bandaliyev, R. A.; Guliyev, V. S.; Mamedov, I. G.; Sadigov, A. B.

The optimal control problem in the processes described by the Goursat problem for a hyperbolic equation in variable exponent Sobolev spaces with dominating mixed derivatives. (English) Zbl 1359.37073

J. Comput. Appl. Math. 305, 11-17 (2016).

MSC: 37D30 49K20

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Kapustyan, O. V.; Rusina, A. V.

Approximate synthesis of distributed bounded control for a parabolic problem with rapidly oscillating coefficients. (English. Ukrainian original) Zbl 1348.49030

Ukr. Math. J. 67, No. 3, 408-420 (2015); translation from Ukr. Mat. Zh. 67, No. 3, 355-365 (2015).

MSC: 49N35 49N10 49J20 35K10

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Kapustyan, V. O.; Pyshnograiev, I. O.

Distributed control with the general quadratic criterion in a special norm for systems described by parabolic-hyperbolic equations with nonlocal boundary conditions. (English. Russian original) Zbl 1327.93227

Cybern. Syst. Anal. 51, No. 3, 438-447 (2015); translation from Kibern. Sist. Anal. 2015, No. 3, 132-142 (2015).

MSC: 93C20 35Q93 49K20

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Abdukarimov, M. F.

Optimal boundary control of forced vibrations by the displacement at one end of the string with the other end fixed. (English. Russian original) Zbl 1296.49002

Differ. Equ. 50, No. 5, 677-688 (2014); translation from Differ. Uravn. 50, No. 5, 680-691 (2014).

MSC: 49J20 35L05 74K05

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Bors, Dorota; Walczak, Stanisław

Application of 2D systems to investigation of a process of gas filtration. (English) Zbl 1256.49051

Multidimensional Syst. Signal Process. 23, No. 1-2, 119-130 (2012).

MSC: 49N90 35Q93

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Bai, Zhong-Zhi

Block preconditioners for elliptic PDE-constrained optimization problems. (English) Zbl 1242.65121

Computing 91, No. 4, 379-395 (2011).

Reviewer: Viorel Arnăutu (Iaşi)

MSC: 65K10 65F10 65F50 49J20 49M25 65F08

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Ishmukhametov, A. Z.

Conditions and estimates for the convergence of solutions of control problems for singularly perturbed hyperbolic systems. (English. Russian original) Zbl 1031.93017

Differ. Equ. 36, No. 6, 857-869 (2000); translation from Differ. Uravn. 36, No. 6, 774-783 (2000).

Reviewer: Hector O.Fattorini (Los Angeles)

MSC: 93B05 93C20 93C70 49K40

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Belbas, S. A.

Dynamic programming and maximum principle for discrete Goursat systems. (English) Zbl 0749.49019

J. Math. Anal. Appl. 161, No. 1, 57-77 (1991).

Reviewer: Yu.V.Egorov (Moskva)

MSC: 49L20

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Belbas, S. A.

Dynamic programming approach to the optimal control of systems governed by Goursat-Darboux equations. (English) Zbl 0701.49031

Int. J. Control 51, No. 6, 1279-1294 (1990).

MSC: 49K20 49L20 35B37 90C39

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Sadigh-Esfandiari, R.; Sloss, James M.; Bruch, John C. jun.

Maximum principle for optimal control of distributed-parameter systems with singular mass matrix. (English) Zbl 0682.49023

J. Optimization Theory Appl. 66, No. 2, 211-226 (1990).

Reviewer: R.Sadigh-Esfandiari

MSC: 49K20 70Q05

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Matveev, A. S.

Abstract theory of the optimal control of distributed parameter systems. (English. Russian original) Zbl 0668.49016

Sib. Math. J. 29, No. 1, 73-83 (1988); translation from Sib. Mat. Zh. 29, No. 1(167), 94-107 (1988).

MSC: 49K27 35J65 49K20 35B37 93C20 93C25

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Salukvadze, M. E.; Tcutcunava, M. T.

An optimal control problem for systems described by partial differential equations of hyperbolic type with delay. (English) Zbl 0586.49009

J. Optimization Theory Appl. 52, 311-322 (1987).

MSC: 49K20 35R10 93C20 35B37

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Kazemi-Dehkordi, M. A.

Optimization of systems governed by hyperbolic partial differential equations with equality and inequality constraints. (English) Zbl 0587.49022

Rend. Circ. Mat. Palermo, II. Ser. 34, 283-299 (1985).

Reviewer: I.Bock

MSC: 49K20 35L70 93C20 35B37 93C10

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Srochko, V. A.

Optimality conditions of the maximum principle type in Goursat-Darboux systems. (English. Russian original) Zbl 0665.49020

Sib. Math. J. 25, 105-111 (1984); translation from Sib. Mat. Zh. 25, No. 1(143), 126-132 (1984).

MSC: 49K10 35B50

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Kazemi-Dehkordi, M. A.

Necessary conditions for optimality of singular controls in systems governed by partial differential equations. (English) Zbl 0518.49015

J. Optimization Theory Appl. 43, 639-661 (1984).

MSC: 49K20 28B20 93C20 35L10

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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).

MSC: 93C20 93-02 49J20 93B05 93B50 93B07 93D99 93B35 93E11 93E12 93B40 93E14

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Zubarev, S. V.

Analogue of Kelly’s condition for systems of hyperbolic equations. (English) Zbl 0501.49012

Ukr. Math. J. 33, 1-5 (1981).

MSC: 49K20 35L20 93C20

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Zubarev, S. V.

Necessary conditions for optimality for certain systems with distributed parameters. (English) Zbl 0445.49024

Ukr. Math. J. 31, 344-346 (1980).

MSC: 49K20 35L10 93C05

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Kuznetsov, Yu. A.

Necessary conditions for optimality in problems of control by systems described by elliptic equations. (English) Zbl 0437.49024

Sib. Math. J. 20, 410-417 (1980).

MSC: 49K20 93C20 35J40

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Chernous’ko, F. L.; Kolmanovskij, V. B.

Computational and approximate methods of optimal control. (English) Zbl 0421.49001

J. Sov. Math. 12, 310-353 (1979).

MSC: 49-02 49Mxx

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Matveev, A. S.; Yakubovich, V. A.

Optimal control of some systems with distributed parameters. (English) Zbl 0412.49014

Sib. Math. J. 19, 783-804 (1979).

MSC: 49K20 49L99 49K27

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Schittkowski, K.

Numerical solution of a time-optimal parabolic boundary-value control problem. (English) Zbl 0372.49014

J. Optimization Theory Appl. 27, 271-290 (1979).

MSC: 49M99 49J20 35K05

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Petukhov, L. V.

Optimal control of processes described by equations of hyperbolic type. (English. Russian original) Zbl 0438.49008

J. Appl. Math. Mech. 41(1977), 385-397 (1978); translation from Prikl. Mat. Mekh. 41, 387-398 (1977).

MSC: 49J20 49M29 35L20

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Ray, W. H.

Some recent applications of distributed parameter systems theory - a survey. (English) Zbl 0375.93030

Automatica 14, 281-287 (1978).

MSC: 93C20 93B30 93E10 93D05 93D10 49J20 35R30

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Srocko, V. A.

Conditions for optimality for a class of distributed parameter systems. (English) Zbl 0404.49023

Sib. Math. J. 17(1976), 819-825 (1977).

MSC: 49K20 49K45 49J30 93C20

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Carmichael, D.; Goh, B. S.

Optimal vibrating plates and a distributed parameter singular control problem. (English) Zbl 0372.49009

Int. J. Control 26, 19-31 (1977).

MSC: 49K20 74K20 93C20 49J20

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Gabasov, R.; Kirillova, F. M.

Method of optimum control. (English. Russian original) Zbl 0403.49003

J. Sov. Math. 7, 795-849 (1977); translation from Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat. 6, 133-206 (1976).

MSC: 49-03 49K15 01A60

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Rogak, E. D.; Scott-Thomas, J. F.

On necessary conditions for optimality in a Banach space. (English) Zbl 0274.49009

J. Math. Anal. Appl. 41, 44-53 (1973).

MSC: 49K27 49K20 49K99 49J20 49J27 49J30

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Petuhov, L. V.; Troickii, V. A.

Variational optimization problems for equations of hyperbolic type. (English. Russian original) Zbl 0261.49005

J. Appl. Math. Mech. 36, 545-555 (1972); translation from Prikl. Mat. Mekh. 36, 578-588 (1972).

MSC: 49J20

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Cesari, Lamberto; Cowles, David E.

Existence theorems in multidimensional problems of optimization with distributed and boundary controls. (English) Zbl 0246.49005

Arch. Ration. Mech. Anal. 46, 321-355 (1972).

MSC: 49J20 49J27

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Zone, G.; Chang, K. S.

A successive approximation method for non-linear distributed-parameter control systems. (English) Zbl 0226.49028

Int. J. Control, I. Ser. 15, 255-272 (1972).

MSC: 49M37 49L99

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Robinson, A. C.

A survey of optimal control of distributed-parameter systems. (English) Zbl 0218.49001

Automatica 7, 371-388 (1971).

MSC: 49-02 93C20 93C30

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Matsumoto, Jusei; Ito, Koichi

Feedback control of distributed parameter systems with spatially concentrated controls. (English) Zbl 0246.49022

Int. J. Control, I. Ser. 12, 401-419 (1970).

MSC: 49L99

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Found 52 Documents (Results 1–52)

Synthesis of distributed optimal control in the tracking problem for the optimization of thermal processes described by integro-differential equations. (English. Russian original) Zbl 1536.49023

Necessary and sufficient optimality conditions for fractional Fornasini-Marchesini model. (English) Zbl 1538.49032

Approximate solution of optimal control problem for cooling process with minimum energy. (English) Zbl 07862491

Tracking problem under bounded disturbances: algebraic synthesis method. (English. Russian original) Zbl 1509.49020

Optimal boundary control of a distributed heterogeneous vibrating system with given states at intermediate times. (English) Zbl 1505.93105

Necessary optimality conditions for singular controls in stochastic Goursat-Darboux systems. (English. Russian original) Zbl 1496.93128

On necessary conditions of optimality to the extremum problem for parabolic equations. (English) Zbl 1533.49017

First order necessary optimal conditions in Gursat-Darboux stochastic systems. (Russian. English summary) Zbl 1470.93166

On a hyperbolic equation on a geometric graph with hysteresis type boundary conditions. (English) Zbl 1435.35402

An inverse problem for determining right hand side of equations for hyperbolic equation of fourth order. (English) Zbl 1524.49004

On properties of minimizers of a control problem with time-distributed functional related to parabolic equations. (English) Zbl 1442.35176

Control with point observation for a parabolic problem with convection. (English. Russian original) Zbl 1436.35221

On determining initial conditions of equations flexural-torsional vibrations of a bar. (English) Zbl 1424.49008

Quasi-optimal control with a general quadratic criterion in a special norm for systems described by parabolic-hyperbolic equations with non-local boundary conditions. (English) Zbl 1417.49022

Optimal control problem for Bianchi equation in variable exponent Sobolev spaces. (English) Zbl 1410.49027

Approximate synthesis of distributed optimal control for hyperbolic equations with rapidly oscillating coefficients. (English. Ukrainian original) Zbl 1384.49022

Necessary optimality conditions in the one boundary control problem for Goursat-Darboux systems. (Necessary optimality conditions in the one boundary control problem for Qoursat-Darboux systems.) (Russian. English summary) Zbl 07607617

On a model of optimal temperature control in hothouses. (Russian. English summary) Zbl 1392.49028

On approximate regulator in linear-quadratic problem with distributed control and rapidly oscillating parameters. (English) Zbl 1366.49024

The optimal control problem in the processes described by the Goursat problem for a hyperbolic equation in variable exponent Sobolev spaces with dominating mixed derivatives. (English) Zbl 1359.37073

Approximate synthesis of distributed bounded control for a parabolic problem with rapidly oscillating coefficients. (English. Ukrainian original) Zbl 1348.49030

Distributed control with the general quadratic criterion in a special norm for systems described by parabolic-hyperbolic equations with nonlocal boundary conditions. (English. Russian original) Zbl 1327.93227

Optimal boundary control of forced vibrations by the displacement at one end of the string with the other end fixed. (English. Russian original) Zbl 1296.49002

Application of 2D systems to investigation of a process of gas filtration. (English) Zbl 1256.49051

Block preconditioners for elliptic PDE-constrained optimization problems. (English) Zbl 1242.65121

Conditions and estimates for the convergence of solutions of control problems for singularly perturbed hyperbolic systems. (English. Russian original) Zbl 1031.93017

Dynamic programming and maximum principle for discrete Goursat systems. (English) Zbl 0749.49019

Dynamic programming approach to the optimal control of systems governed by Goursat-Darboux equations. (English) Zbl 0701.49031

Maximum principle for optimal control of distributed-parameter systems with singular mass matrix. (English) Zbl 0682.49023

Abstract theory of the optimal control of distributed parameter systems. (English. Russian original) Zbl 0668.49016

An optimal control problem for systems described by partial differential equations of hyperbolic type with delay. (English) Zbl 0586.49009

Optimization of systems governed by hyperbolic partial differential equations with equality and inequality constraints. (English) Zbl 0587.49022

Optimality conditions of the maximum principle type in Goursat-Darboux systems. (English. Russian original) Zbl 0665.49020

Necessary conditions for optimality of singular controls in systems governed by partial differential equations. (English) Zbl 0518.49015

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

Analogue of Kelly’s condition for systems of hyperbolic equations. (English) Zbl 0501.49012

Necessary conditions for optimality for certain systems with distributed parameters. (English) Zbl 0445.49024

Necessary conditions for optimality in problems of control by systems described by elliptic equations. (English) Zbl 0437.49024

Computational and approximate methods of optimal control. (English) Zbl 0421.49001

Optimal control of some systems with distributed parameters. (English) Zbl 0412.49014

Numerical solution of a time-optimal parabolic boundary-value control problem. (English) Zbl 0372.49014

Optimal control of processes described by equations of hyperbolic type. (English. Russian original) Zbl 0438.49008

Some recent applications of distributed parameter systems theory - a survey. (English) Zbl 0375.93030

Conditions for optimality for a class of distributed parameter systems. (English) Zbl 0404.49023

Optimal vibrating plates and a distributed parameter singular control problem. (English) Zbl 0372.49009

Method of optimum control. (English. Russian original) Zbl 0403.49003

On necessary conditions for optimality in a Banach space. (English) Zbl 0274.49009

Variational optimization problems for equations of hyperbolic type. (English. Russian original) Zbl 0261.49005

Existence theorems in multidimensional problems of optimization with distributed and boundary controls. (English) Zbl 0246.49005

A successive approximation method for non-linear distributed-parameter control systems. (English) Zbl 0226.49028

A survey of optimal control of distributed-parameter systems. (English) Zbl 0218.49001

Feedback control of distributed parameter systems with spatially concentrated controls. (English) Zbl 0246.49022

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