Time-invariance of the reachable set for linear control problems

DOI10.1016/0022-247X(79)90271-3zbMath0419.93044MaRDI QIDQ1132790

Thomas I. Seidman

Publication date: 1979

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

heat equationnull controllabilitylinear control systemreachable set

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Linear systems in control theory (93C05) Control/observation systems in abstract spaces (93C25)

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Reachable Space of the Hermite Heat Equation with Boundary Control ⋮ Reachability results for perturbed heat equations ⋮ Minimum time and minimum energy for linear control systems ⋮ Precise estimates for biorthogonal families under asymptotic gap conditions ⋮ Sharp reachability results for the heat equation in one space dimension ⋮ Reachable states for infinite-dimensional linear systems: old and new ⋮ The ellipsoidal bound of reachable sets for linear neutral systems with disturbances ⋮ On reachable states in boundary control for the heat equation, and an associated moment problem ⋮ From the reachable space of the heat equation to Hilbert spaces of holomorphic functions ⋮ Reachable states and holomorphic function spaces for the 1-D heat equation ⋮ Minimum time and minimum energy for linear systems; a variational approach ⋮ On the Reachable Set for the One-Dimensional Heat Equation ⋮ The cost of controlling weakly degenerate parabolic equations by boundary controls ⋮ Sharp observability estimates for heat equations ⋮ Separation of singularities for the Bergman space and application to control theory ⋮ Some problems of distributed parameter control with unilateral constraints

Cites Work

• Unnamed Item
• A General Theory of Observation and Control
• Exact Boundary Control for Some Evolution Equations
• Reachable states in boundary control of the heat equation are independent of time
• Uniform bounds on biorthogonal functions for real exponentials with an application to the control theory of parabolic equations

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