Bound invariant Lyapunov functions: a means for enlarging the class of stabilizable uncertain systems

DOI10.1080/00207178708933890zbMath0633.93052OpenAlexW2152720838MaRDI QIDQ3772089

Christopher V. Hollot

Publication date: 1987

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207178708933890

zbMATH Keywords

Lyapunov functionrobust stabilityparameter uncertaintyquadratic stabilizability

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Linear systems in control theory (93C05) Stability of solutions to ordinary differential equations (34D20) Control/observation systems governed by ordinary differential equations (93C15)

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A Riccati equation approach to the stabilization of uncertain linear systems, Natural frequencies of structures with uncertain but nonrandom parameters, An algorithm for the quadratic stabilization of uncertain systems with structured uncertainty of the one-block type

Cites Work

• Unnamed Item
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• On guaranteed stability of uncertain linear systems via linear control
• Properties and calculation of transmission zeros of linear multivariable systems
• Robust Stabilization of Uncertain Systems
• Structural Stabilization of Uncertain Systems: Necessity of the Matching Condition
• On ultimate boundedness control of uncertain systems in the absence of matching assumptions
• On the Efficacy of Nonlinear Control in Uncertain Linear Systems
• Input–Output Structure of Linear Systems with Application to the Decoupling Problem
• The zeros of a system†