### Details

#### Title

Optimal control problem for infinite variables hyperbolic systems with time lags#### Journal title

Archives of Control Sciences#### Yearbook

2011#### Numer

No 4#### Publication authors

#### Divisions of PAS

Nauki Techniczne#### Description

Archives of Control Sciences welcomes for consideration papers on topics of significance in broadly understood control science and related areas, including: basic control theory, optimal control, optimization methods, control of complex systems, mathematical modeling of dynamic and control systems, expert and decision support systems and diverse methods of knowledge modelling and representing uncertainty (by stochastic, set-valued, fuzzy or rough set methods, etc.), robotics and flexible manufacturing systems. Related areas that are covered include information technology, parallel and distributed computations, neural networks and mathematical biomedicine, mathematical economics, applied game theory, financial engineering, business informatics and other similar fields.

Aims and Scope: Archives of Control Sciences publishes papers in the broadly understood field of control science and related areas while promoting the closer integration of the Polish, as well as other Central and East European scientific communities with the international world of science.

#### Publisher

Committee of Automatic Control and Robotics PAS#### Date

2011#### Identifier

ISSN 1230-2384#### References

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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