Szczegóły

Tytuł artykułu

Optimal control problem for infinite variables hyperbolic systems with time lags

Tytuł czasopisma

Archives of Control Sciences

Rocznik

2011

Numer

No 4

Autorzy publikacji

Wydział PAN

Nauki Techniczne

Wydawca

Committee of Automatic Control and Robotics PAS

Data

2011

Identyfikator

ISSN 1230-2384

Referencje

Bahaa G. (2003), Quadratic Pareto optimal control of parabolic equation with state-control constraints and an infinite number of variables, IMA J. Math. Control and Inform, 20, 167, doi.org/10.1093/imamci/20.2.167 ; Bahaa G. (2005a), Time-Optimal control problem for parabolic equations with control constraints and infinite number of variables, IMA J. Math. Control and Inform, 22, 364, doi.org/10.1093/imamci/dni033 ; Bahaa G. (2005b), Time-Optimal control problem for infinite order parabolic equation with control constraints, Differ. Equ. Control Process. Electron. J, 4, 64. ; Bahaa G. (2006a), Boundary control for cooperative parabolic systems governed by Schrödinger operator, Differ. Equ. Control Process. Electron. J, 1, 78. ; Bahaa G. (2006b), Boundary control for cooperative elliptic systems governed by Schrödinger operator, Differ. Equ. Control Process. Electron. J, 4, 17. ; Bahaa G. (2007a), Optimal control for cooperative parabolic systems governed by Schrödinger operator with control constraints, IMA J. Math. Control and Inform, 24, 1, doi.org/10.1093/imamci/dnl001 ; Bahaa G. (2007b), Quadratic Pareto optimal control for boundary infinite order parabolic equation with state-control constraints, AMO-Advanced Modeling and Optimization, 9, 37. ; Bahaa G. (2008a), Optimal control problems of parabolic equations with an infinite number of variables and with equality constraints, IMA J. Math. Control and Inform, 25, 37, doi.org/10.1093/imamci/dnm002 ; Bahaa G. (2008b), Optimality conditions for <i>n</i> x <i>n</i> infinite order parabolic coupled systems with control constraints and general performance index, IMA J. Math. Control and Inform, 25, 49, doi.org/10.1093/imamci/dnm003 ; Berezanskii Ju. (1975), Self-adjointness of elliptic operator with an infinite number of variables, Ukrain. Math. Z, 27, 729. ; El-Saify H. (2001), Optimal control for <i>n</i> x <i>n</i> systems of hyperbolic types, Revista de Matemáticas Aplicadas, 22, 41. ; El-Saify H. (2002), Optimal control for <i>n</i> x <i>n</i> hyperbolic systems involving operators of infinite order, Mathematica Slovaca, 52, 409. ; El-Saify H. (2003), Optimal control for <i>n</i> x <i>n</i> coupled systems of Petrowsky type with an infinite number of Variables, Mathematica Slovaca, 53, 291. ; El-Saify H. (2000), On optimal control for <i>n</i> x <i>n</i> elliptic system involving operators with an infinite number of variables, Advances in Modelling & Analysis, 37, 47. ; Gali I. (1982), Optimal control of a system governed by hyperbolic operator with an infinite number of variables, J. Math. Anal. Appl, 85, 24, doi.org/10.1016/0022-247X(82)90023-3 ; Gali I. (1983), Distributed control of a system governed by Dirichlet and Neumann problems for a self-adjoint elliptic operator with an infinite number of variables, J. Optim. Theory Appl, 39, 293, doi.org/10.1007/BF00934534 ; Imanuvilov O. (1998), On exact controllability for the Navier-Stokes equations, ESAIM: COCV, 3, 97, doi.org/10.1051/cocv:1998104 ; Knowles G. (1978), Time-optimal control of parabolic systems with boundary conditions involving time delays, J. Optim. Theor. Appl, 25, 563, doi.org/10.1007/BF00933521 ; W. Kotarski: (1997). Some problems of optimal and Pareto optimal control for distributed parameter systems. <i>Reports of Silesian University</i>, <b>1668</b> Katowice, Poland, 1-93. ; Kotarski W. (2005), Optimal control problem for infinite order hyperbolic system with mixed control-state constraints, Euro. J. Control, 11, 150, doi.org/10.3166/ejc.11.150-156 ; Kotarski W. (2007), Optimality conditions for infinite order hyperbolic problem with non-standard functional and time delay, J. Inform. & Optim. Sci, 28, 315. ; Kotarski W. (2002a), Optimal control problem for a hyperbolic system with mixed control-state constraints involving operator of infinite order, Int. J. Pure and Appl. Math, 1, 241. ; Kotarski W. (2002b), Optimal control of parabolic equation with an infinite number of variables for non-standard functional and time delay, IMA J. Math. Control and Inform, 19, 461, doi.org/10.1093/imamci/19.4.461 ; Kowalewski A. (1993a), Optimal control of hyperbolic system with time lags, J. Appl. Math. Comput. Sci, 3, 687. ; Kowalewski A. (1993b), Boundary control of hyperbolic system with time lags, IMA J. Math. Control Inform, 10, 261, doi.org/10.1093/imamci/10.3.261 ; Kowalewski A. (1995), Optimal control of hyperbolic system with time-varying lags, IMA J. Math. Control Inform, 12, 133, doi.org/10.1093/imamci/12.2.133 ; Kowalewski A. (1998), Optimal control of a distributed hyperbolic system with multiple time varying lags, Int. J. Control, 71, 419, doi.org/10.1080/002071798221759 ; Kowalewski A. (1999), Distributed control of a retarded hyperbolic system, null. ; Kowalewski A. (2000), Optimal control of distributed hyperbolic systems with deviating arguments, Int. J. Control, 73, 1026, doi.org/10.1080/002071700411313 ; Li X. (1995), Systems & Control: Foundations & Applications, 1. ; Lions J. (1971), Optimal control of systems governed by partial differential equations, 170, doi.org/10.1007/978-3-642-65024-6 ; Lions J. (1955), Approximate controllability of a hydroelastic coupled system, ESAIM: COCV, 1, 1, doi.org/10.1051/cocv:1996100 ; Lions J. (1972), Non-homogeneous boundary value problem and applications, I. ; Petukhov L. (1995), Necessary Weierstrass conditions for elliptic systems, J. Appl. Math. Mech, 59, 711, doi.org/10.1016/0021-8928(95)00083-6 ; Serag H. (2007), Distributed control for cooperative systems involving parabolic operators with an infinite number of variables, IMA J. Math. Control and Inform, 24, 149, doi.org/10.1093/imamci/dnl018 ; Wang P. (1975), Optimal control of parabolic systems with boundary conditions involving time delays, SIAM J. Control, 13, 274, doi.org/10.1137/0313016 ; Wong K. (1987), Optimal control computation for parabolic systems with boundary conditions involving time delays, J. Optim. Theor. Appl, 53, 475, doi.org/10.1007/BF00938951

DOI

10.2478/v10170-011-0003-5

×