Controllability of nonlinear evolution systems with preassigned responses

DOI10.1023/A:1021726017996zbMath0914.93010OpenAlexW76811739MaRDI QIDQ1280095

K. Appert

Publication date: 17 May 1999

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

Full work available at URL: https://doi.org/10.1023/a:1021726017996

zbMATH Keywords

nonlinear systemsapproximate controllabilitydelay systemspreassigned responsescoercivity condition

Mathematics Subject Classification ID

Controllability (93B05) Nonlinear systems in control theory (93C10) Control problems for functional-differential equations (34K35)

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Cites Work

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• Topological methods for the global controllability of nonlinear systems
• Controllability questions for nonlinear systems in abstract spaces
• Semigroups of linear operators and applications to partial differential equations
• Approximate controllability for trajectories of semilinear control systems
• Ranges of sums and control of nonlinear evolutions with preassigned responses
• Implicit function theorems, approximate solvability of nonlinear equations, and error estimates
• Controllability for parabolic equations with uniformly bounded nonlinear terms
• Controllability Properties of Linear and Semilinear Abstract Control Systems
• Approximate solvability of semilinear operator equations
• Controllability of Semilinear Control Systems Dominated by the Linear Part
• Topological Methods for the Local Controllability of Nonlinear Systems
• Admissible controls and attainable states for a class of nonlinear systems with general constraints
• Approximate controllability of nonautonomous semilinear systems
• Constrained controllability of nonlinear systems
• Extending the class of pre-assigned responses in problems of K-controllability in general banach spaces