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Time-optimal boundary control of an infinite order parabolic system with time lags

100%
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.
2
Content available remote

Time-optimal boundary control of a parabolic system with time lags given in integral form

100%
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.
3
Content available remote

Abstract parabolic problem with non-Lipschitz nonlinearity

88%
Cholewa J. W., Dlotko T.
Banach Center Publications
|
2000
|
tom 52
|
nr 1
73-81
EN
An abstract parabolic equation with sectorial operator and continuous nonlinearity is studied in this paper. In particular, the asymptotic behavior of solutions is described within the framework of the theory of global attractors. Examples included in the final part of the paper illustrate the presented ideas.
4

On nonlinear, nonconvex evolution inclusions

75%
Papageorgiou N.
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
|
1995
|
tom 15
|
nr 1
29-42
EN
We consider a nonlinear evolution inclusion driven by an m-accretive operator which generates an equicontinuous nonlinear semigroup of contractions. We establish the existence of extremal integral solutions and we show that they form a dense, $G_δ$-subset of the solution set of the original Cauchy problem. As an application, we obtain "bang-bang"' type theorems for two nonlinear parabolic distributed parameter control systems.
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