On infinite dimensional control systems with state and control constraints
Papageorgiou, Nikolaos S. (1991)
Portugaliae mathematica
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Displaying similar documents to “Existence and density results for retarded subdifferential evolution inclusions”
On infinite dimensional control systems with state and control constraints
Convergence results for nonlinear evolution inclusions
Tiziana Cardinali, Francesca Papalini (1995)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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In this paper we consider evolution inclusions of subdifferential type. First, we prove a convergence result and a continuous dependence proposition for abstract Cauchy problem of the form u' ∈ -∂⁻f(u) + G(u), u(0) = x₀, where ∂⁻f is the Fréchet subdifferential of a function f defined on an open subset Ω of a real separable Hilbert space H, taking its values in IR ∪ {+∞}, and G is a multifunction from C([0,T],Ω) into the nonempty subsets of L²([0,T],H). We obtain analogous results for...
On the properties of the Aumann integral with applications to differential inclusions and control systems
Dimitrios A. Kandilakis, Nikolaos S. Papageorgiou (1989)
Czechoslovak Mathematical Journal
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On the "bang-bang" principle for nonlinear evolution inclusions.
N.S. Papageorgiou (1993)
Aequationes mathematicae
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Optimality conditions for systems driven by nonlinear evolution equations.
Papageorgiou, N. (1995)
Mathematical Problems in Engineering
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Non-convex perturbations of evolution equations with -dissipative operators in Banach spaces
Evgenios P. Avgerinos, Nikolaos S. Papageorgiou (1989)
Commentationes Mathematicae Universitatis Carolinae
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Boundary value problems and periodic solutions for semilinear evolution inclusions
Nikolaos S. Papageorgiou (1994)
Commentationes Mathematicae Universitatis Carolinae
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We consider boundary value problems for semilinear evolution inclusions. We establish the existence of extremal solutions. Using that result, we show that the evolution inclusion has periodic extremal trajectories. These results are then applied to closed loop control systems. Finally, an example of a semilinear parabolic distributed parameter control system is worked out in detail.