On constraint controllability of linear systems in Banach spaces

DOI10.1007/BF00939408zbMath0625.93011MaRDI QIDQ580256

Ovidiu Cârjǎ

Publication date: 1988

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

zbMATH Keywords

dualityopen mapping theoremconstraint controllabilitylinear systems in Banach spaces

Mathematics Subject Classification ID

Controllability (93B05) Normed linear spaces and Banach spaces; Banach lattices (46B99) Linear systems in control theory (93C05) Control/observation systems in abstract spaces (93C25) Duality theory (optimization) (49N15) Existence theories for problems in abstract spaces (49J27) Attainable sets, reachability (93B03)

Related Items (11)

Observability for Non-autonomous Systems ⋮ Minimum time and minimum energy for linear control systems ⋮ Final state observability estimates and cost-uniform approximate null-controllability for bi-continuous semigroups ⋮ Near viability for fully nonlinear differential inclusions ⋮ Observability and null-controllability for parabolic equations in \(L_p\)-spaces ⋮ Final state observability in Banach spaces with applications to subordination and semigroups induced by Lévy processes ⋮ Constrained null controllability for distributed systems and applications to hyperbolic-like equations ⋮ Constraint controllability for linear control systems ⋮ How mild can slow controls be? ⋮ On null controllability of linear systems in Banach spaces ⋮ A unified approach to constrained approximate controllability for the heat equations and the retarded equations

Cites Work

• Admissible null controllability and optimal time control
• Infinite dimensional linear systems theory
• Constrained Controllability in Banach Spaces
• Regularity and Stability for Convex Multivalued Functions
• Addendum: A Note on the Lack of Exact Controllability for Mild Solutions in Banach Spaces
• A General Theory of Observation and Control
• A Note on the Lack of Exact Controllability for Mild Solutions in Banach Spaces
• A Counterexample in the Factorization of Banach Space Operators
• Controllability and Stabilizability Theory for Linear Partial Differential Equations: Recent Progress and Open Questions
• On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space
• Factorization of Operators on Banach Space
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