An observer for infinite-dimensional dissipative bilinear systems

DOI10.1016/0898-1221(95)00014-PzbMath0829.93006OpenAlexW2081262789MaRDI QIDQ1894935

Yanyan Li

Publication date: 24 January 1996

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(95)00014-p

zbMATH Keywords

observerbilinear systemsinfinite-dimensional Hilbert space

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Observability (93B07) Operator-theoretic methods (93B28) Control/observation systems in abstract spaces (93C25)

Related Items (12)

Adaptive boundary observer for parabolic PDEs subject to domain and boundary parameter uncertainties ⋮ Inertial manifold and state estimation of dissipative nonlinear PDE systems ⋮ Optimal control problem governed by an infinite dimensional two-nilpotent bilinear system ⋮ Observer design for a class of nonlinear ODE-PDE cascade systems ⋮ Infinite-dimensional Luenberger-like observers for a rotating body-beam system ⋮ On Sussmann theorem for orbits of sets of vector fields on Banach manifolds ⋮ Duality-based optimal compensator for boundary control hyperbolic PDEs system: application to a tubular cracking reactor ⋮ Nonlinear observers in reflexive Banach spaces ⋮ Luenberger Observers for Infinite-Dimensional Systems, Back and Forth Nudging, and Application to a Crystallization Process ⋮ Sampled-data observers for 1-D parabolic PDEs with non-local outputs ⋮ Contributions to the Problem of High-Gain Observer Design for Hyperbolic Systems ⋮ Optimal control and duality-based observer design for a hyperbolic PDEs system with application to fixed-bed reactor

Cites Work

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• Semigroups of linear operators and applications to partial differential equations
• Synthesis of nonlinear observers: A harmonic-analysis approach
• A simple observer for nonlinear systems applications to bioreactors
• A Note on Weak Stabilizability of Contraction Semigroups
• A General Necessary Condition for Exact Observability
• A separation principle for bilinear systems with dissipative drift

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