Robust stabilization of discrete-time uncertain nonlinear systems

DOI10.1023/A:1022611116645zbMath0898.93010OpenAlexW125967615MaRDI QIDQ1384052

Savkin, Andrey V., Ian R. Petersen

Publication date: 13 April 1998

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

Full work available at URL: https://doi.org/10.1023/a:1022611116645

zbMATH Keywords

discrete-time systemabsolute stabilizabilitystructured uncertaintynonlinear \(H^\infty\)-optimal controlnonlinear \(S\)-procedure

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Popov-type stability of feedback systems (93D10) (H^infty)-control (93B36)

Related Items (1)

Robust stabilization of non-linear systems by discontinuous dynamic state feedback

Cites Work

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• Dichotomy and absolute stability of nonlinear systems with periodically nonstationary linear part
• Stability results for nonlinear feedback systems
• A recurring theorem about pairs of quadratic forms and extensions: A survey
• A partial differential inequality for dissipative nonlinear systems
• A connection between \(H^ \infty\) control and the absolute stabilizability of uncertain systems
• Dissipative dynamical systems. I: General theory
• Necessary and sufficient conditions of stability: a multiloop generalization of the circle criterion
• Disturbance attenuation and H/sub infinity /-control via measurement feedback in nonlinear systems
• The stability of nonlinear dissipative systems
• Nonlinear versus linear control in the absolute stabilizability of uncertain systems with structured uncertainty
• Minimax optimal control of uncertain systems with structured uncertainty
• Robust H/sub ∞/ output feedback control for nonlinear systems

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