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Time-optimal control of infinite order hyperbolic systems with time delays

100%
Kowalewski A.
International Journal of Applied Mathematics and Computer Science
|
2009
|
tom 19
|
nr 4
597-608
EN
In this paper, the time-optimal control problem for infinite order hyperbolic systems in which time delays appear in the integral form both in state equations and in boundary conditions is considered. Optimal controls are characterized in terms of an adjoint system and shown to be unique and bang-bang. These results extend to certain cases of nonlinear control problems. The particular properties of optimal control are discussed.
2
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Time-optimal boundary control of an infinite order parabolic system with time lags

63%
Kowalewski A., Krakowiak A.
International Journal of Applied Mathematics and Computer Science
|
2008
|
tom 18
|
nr 2
189-198
EN
In this paper the time-optimal boundary control problem is presented for a distributed infinite order parabolic system in which time lags appear in the integral form both in the state equation and in the boundary condition. Some specific properties of the optimal control are discussed.
3
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Time-optimal boundary control of a parabolic system with time lags given in integral form

63%
Kowalewski A., Krakowiak A.
International Journal of Applied Mathematics and Computer Science
|
2006
|
tom 16
|
nr 3
287-295
EN
In this paper, the time-optimal boundary control problem for a distributed parabolic system in which time lags appear in integral form in both the state equation and the boundary condition is presented. Some particular properties of optimal control are discussed.
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