The controllability problem for nonlinear Volterra systems

DOI10.1007/BF00934434zbMath0497.93010MaRDI QIDQ1171028

Thomas S. Angell

Publication date: 1983

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

zbMATH Keywords

approximate controllabilitynonlinear Volterra integral equationsnonlinear controllabilityfixed point theorems for set-valued mappingsseminormality conditions

Mathematics Subject Classification ID

Controllability (93B05) Set-valued functions (26E25) Set-valued maps in general topology (54C60) Nonlinear systems in control theory (93C10) Fixed-point theorems (47H10) Attainable sets, reachability (93B03) Volterra integral equations (45D05)

Related Items

Controllability of nonlinear systems via fixed-point theorems ⋮ The controllability of infinite horizon optimal control problems ⋮ New results in the theory of multivalued mappings. I: Topological characteristics and solvability of operator relations ⋮ The controllability problem for certain nonlinear intergro-differential volterra systems ⋮ Existence theorems for optimal control problems involving functional differential equations ⋮ Infinite-horizon optimal controls for problems governed by a Volterra integral equation with state-and-control-dependent discount factor ⋮ Global robust controllability of the triangular integro-differential Volterra systems ⋮ Existence of solutions of multi-valued Urysohn integral equations

Cites Work

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• Functional inclusion and controllability of nonlinear neutral functional differential systems
• On recent existence theorems in the theory of optimization
• Some remarks on existence of optimal controls for Mayer problems with singular components
• Closure theorems for orientor fields and weak convergence
• On the optimal control of systems governed by nonlinear Volterra equations
• Existence of optimal control without convexity and a bang-bang theorem for linear Volterra equations
• Remarks on some existence theorems for optimal control
• Existence theorems for optimal control problems involving functional differential equations
• The existence of optimal controls in the absence of convexity conditions
• Discrete and Continuous Bang-Bang and Facial Spaces Or: Look for the Extreme Points
• On controllability for non-linear hereditary systems: A fixed-point approach
• Convexity of the Range of Certain Integrals
• Existence theorems for weak and usual optimal solutions in Lagrange problems with unilateral constraints. I
• Relaxed Controls and Variational Problems
• Existence Theorems for Optimal Controls of the Mayer Type