Existence of optimal controls for a class of systems governed by differential inclusions on a Banach space

DOI10.1007/BF00939270zbMath0577.49025OpenAlexW2168987664MaRDI QIDQ1066080

Nasir Uddin Ahmed

Publication date: 1986

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00939270

zbMATH Keywords

distributed controlsmild solutionsboundary controlsRadon-Nikodym propertydifferential inclusions on a Banach space

Mathematics Subject Classification ID

Controllability (93B05) Classical Banach spaces in the general theory (46B25) Methods involving semicontinuity and convergence; relaxation (49J45) Existence theories for problems in abstract spaces (49J27)

Related Items (12)

On the set of solutions of a class of nonlinear evolution inclusions ⋮ Periodic solutions of semilinear multivalued and functional evolution equations in Banach spaces ⋮ Optimal control of nonlinear evolution inclusions ⋮ Random evolution inclusions of the subdifferential type ⋮ Control problems for systems described by nonlinear second order evolution inclusions ⋮ Existence theorems without convexity assumptions for optimal control problems governed by parabolic and elliptic systems ⋮ Necessary conditions for optimal control of stochastic evolution equations in Hilbert spaces ⋮ Existence theory of optimal controls for distributed parameter systems ⋮ Existence of solutions for second order evolution inclusions with application to mechanical contact problems ⋮ Relaxation and existence of optimal controls of systems governed by evolution inclusions in separable Banach spaces ⋮ Fine Metrizable Convex Relaxations of Parabolic Optimal Control Problems ⋮ Optimal control of infinite-dimensional uncertain systems

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