Quadratic stabilizability of uncertain linear systems containing both constant and time-varying uncertain parameters

DOI10.1007/BF02346163zbMath0624.93056OpenAlexW1985002983MaRDI QIDQ579203

Ian R. Petersen

Publication date: 1988

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02346163

zbMATH Keywords

stabilizabilityquadratic Lyapunov functionsstate feedback controluncertain linear system

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) Perturbations of ordinary differential equations (34D10)

Related Items (12)

On asymptotic stability of linear time-varying systems ⋮ Fixed-order robust compensators via min-max principle ⋮ Scalar-quadratic stabilizability of the Petersen counterexample via a linear static controller ⋮ Uncertainty structures in adaptive and robust stabilization ⋮ On robust and \({\mathcal H}_ \infty\) controls for a class of linear and bilinear systems with nonlinear uncertainty ⋮ Discrete-timeH_∞andH₂control with structured disturbances and probability-relaxed requirements ⋮ Probability-guaranteed robust \(H_{\infty }\) performance analysis and state-feedback design ⋮ Robust \(H_{\infty }\) control design for best mean performance over an uncertain-parameters box ⋮ Robust stability of uncertain second-order linear time-varying systems ⋮ Quadratic stabilizability of a new class of linear systems with structural independent time-varying uncertainty ⋮ Robust output tracking for uncertain/nonlinear systems subject to almost constant disturbances ⋮ System order reduction in the stabilization of multi-block uncertain systems

Cites Work

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• A Riccati equation approach to the stabilization of uncertain linear systems
• Control effort considerations in the stabilization of uncertain dynamical systems
• On guaranteed stability of uncertain linear systems via linear control
• Guaranteed Asymptotic Stability for Some Linear Systems With Bounded Uncertainties
• Quadratic stabilizability of uncertain linear systems: Existence of a nonlinear stabilizing control does not imply existence of a linear stabilizing control
• Structural Stabilization of Uncertain Systems: Necessity of the Matching Condition
• On ultimate boundedness control of uncertain systems in the absence of matching assumptions
• Convex Analysis

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