Properties of Relaxed Trajectories for a Class of Nonlinear Evolution Equations on a Banach Space

DOI10.1137/0321058zbMath0524.49008OpenAlexW2020412227MaRDI QIDQ3036157

Nasir Uddin Ahmed

Publication date: 1983

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0321058

zbMATH Keywords

time-optimal controlnonlinear evolution equationsterminal controlCesari propertymeasure-valued controlsoriginal and relaxed systemsoriginal and relaxed trajectories

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Normed linear spaces and Banach spaces; Banach lattices (46B99) Nonlinear parabolic equations (35K55) Nonlinear systems in control theory (93C10) Methods involving semicontinuity and convergence; relaxation (49J45) Control/observation systems in abstract spaces (93C25) Existence theories for problems in abstract spaces (49J27) Existence theories for optimal control problems involving partial differential equations (49J20) Attainable sets, reachability (93B03) Initial value problems for linear higher-order PDEs (35G10) Convex sets in topological vector spaces (aspects of convex geometry) (52A07) Higher-order parabolic equations (35K25)

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