System order reduction in the stabilization of multi-block uncertain systems

DOI10.1080/00207170110067099zbMath1018.93024OpenAlexW1973298653MaRDI QIDQ3151610

S. M. Swei, Martin Corless, Mario A. Rotea

Publication date: 16 October 2002

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

Full work available at URL: https://doi.org/10.1080/00207170110067099

zbMATH Keywords

uncertaintyLyapunov functionorder reductionquadratic stabilizationregular systemlinear stabilization of nonlinear systemsmulti-block uncertain systems

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Adaptive or robust stabilization (93D21) System structure simplification (93B11)

Cites Work

• Quadratic stabilizability of uncertain linear systems containing both constant and time-varying uncertain parameters
• Necessary and sufficient conditions for quadratic stabilizability of an uncertain system
• A Riccati equation approach to the stabilization of uncertain linear systems
• On guaranteed stability of uncertain linear systems via linear control
• Robust stabilization of feedback linearizable time-varying uncertain nonlinear systems
• Guarenteed rates of exponential convergence for uncertain systems
• Quadratic stabilizability of uncertain linear systems: Existence of a nonlinear stabilizing control does not imply existence of a linear stabilizing control
• Robust stabilization of uncertain linear systems: quadratic stabilizability and H/sup infinity / control theory
• System order reduction in robust stabilization problems
• Stabilization of Uncertain Systems with Norm Bounded Uncertainty—A Control Lyapunov Function Approach

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