Optimal control of linear retarded systems to small solutions

DOI10.1080/00207178208932923zbMath0493.49021OpenAlexW2108974684MaRDI QIDQ3955979

Fritz Colonius

Publication date: 1982

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://nbn-resolving.org/urn:nbn:de:bvb:384-opus4-713553

zbMATH Keywords

maximum principlesmall solutionlinear retarded systemssmall attainability subspace

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Control problems for functional-differential equations (34K35) Attainable sets, reachability (93B03) Control/observation systems governed by ordinary differential equations (93C15) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (3)

An algebraic characterization of closed small attainability subspaces of delay systems ⋮ A criterion of closedness of an attainable set of a delay system ⋮ On criteria for closedness of an attainable set of a discrete neutral control system

Cites Work

• The structural operator F and its role in the theory of retarded systems
• On the closure in \(W^q_1\) of the attainable subspace of linear time lag systems
• Small solutions of linear autonomous functional differential equations
• Optimal Control of Functional Differential Systems
• Optimal control of delay systems with a final function condition
• Necessary and Sufficient Conditions of Approximate Controllability for General Linear Retarded Systems
• On Semigroups in Rⁿ X L^p Corresponding to Differential Equations with Delays
• Application of abstract variational theory to hereditary systems--A survey
• Convex Programming and Duality in Normed Space

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