Exact observability and exponential stability of infinite-dimensional bilinear systems
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Publication:1924417
DOI10.1007/BF01211519zbMath0862.93007OpenAlexW2060071135MaRDI QIDQ1924417
Publication date: 16 October 1996
Published in: MCSS. Mathematics of Control, Signals, and Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01211519
Asymptotic stability in control theory (93D20) Observability (93B07) Control/observation systems in abstract spaces (93C25)
Related Items (8)
On boundary stabilization of heat exchangers systems with non-smooth time-varying coefficients ⋮ Boundary feedback stabilization and Riesz basis property of a 1D first-order hyperbolic linear system with \(L^{\infty }\)-coefficients ⋮ Inertial manifold and state estimation of dissipative nonlinear PDE systems ⋮ Adaptive energy-based bilinear control of first-order 1-D hyperbolic PDEs: application to a one-loop parabolic solar collector trough ⋮ Approximate observability of infinite dimensional bilinear systems using a Volterra series expansion ⋮ Exponential Stability and Transfer Functions of Processes Governed by Symmetric Hyperbolic Systems ⋮ Nonlinear observers in reflexive Banach spaces ⋮ Evolution equations governed by families of weighted operators
Cites Work
- Semigroups of linear operators and applications to partial differential equations
- Infinite dimensional linear systems theory
- Control theory of hyperbolic equations related to certain questions in harmonic analysis and spectral theory
- Synthesis of nonlinear observers: A harmonic-analysis approach
- Controllability and Stabilizability Theory for Linear Partial Differential Equations: Recent Progress and Open Questions
- A General Necessary Condition for Exact Observability
- H∞-control of a distributed parameter system with non-minimum phase
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