The infinite-time admissibility of observation operators and operator Lyapunov equations

DOI10.1007/BF01225527zbMath0937.93009MaRDI QIDQ1306292

Ming-Chu Gao, Jin-Chuan Hou

Publication date: 23 May 2000

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

observabilityinfinite horizonobservation operatorinfinite time admissibility

Mathematics Subject Classification ID

Observability (93B07) Control/observation systems in abstract spaces (93C25)

Related Items (4)

Resolvents of functions of operators with Hilbert-Schmidt hermitian components ⋮ Triangular representations of functions of operators with Schatten–von Neumann Hermitian components ⋮ On invariance of \(p\)-admissibility of control and observation operators to \(q\)-type of perturbations of generator of \(C_{0}\)-semigroup ⋮ A direct approach to the Weiss conjecture for bounded analytic semigroups

Cites Work

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• Strong asymptotic stability of linear dynamical systems in Banach spaces
• Comparison theorems for infinite-dimensional Riccati equations
• Admissible observation operators for linear semigroups
• Vector-valued Laplace transforms and Cauchy problems
• On the nonnegative self-adjoint solutions of the operator Riccati equation for infinite dimensional systems
• Admissible observation operators. Semigroup criteria of admissibility
• On operator ranges
• On Intertwining and Factorization by Self-Adjoint Operators
• Admissibility of Unbounded Control Operators
• A General Necessary Condition for Exact Observability
• On the Spectral-Lyapunov Approach to Parametric Optimization of Distributed-Parameter Systems

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