A new absolute stability test for systems with state-dependent perturbations

DOI10.1002/rnc.692zbMath1011.93087OpenAlexW2088614173MaRDI QIDQ4794115

Liu Hsu, José C. Geromel, Maurício Carvalho de Oliveira

Publication date: 17 February 2003

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

Full work available at URL: https://doi.org/10.1002/rnc.692

zbMATH Keywords

absolute stabilitycircle criterionPopov criterionPersidskij criterionstate dependent nonlinearities

Mathematics Subject Classification ID

Perturbations in control/observation systems (93C73) Popov-type stability of feedback systems (93D10)

Related Items (8)

Exponential stability analysis for a class of switched nonlinear time-varying functional differential systems ⋮ Absolute exponential stability of switched nonlinear time-delay systems; linear programming ⋮ Frequency-domain and time-domain methods for feedback nonlinear systems and applications to chaos control ⋮ Control design for a class of nonlinear continuous-time systems ⋮ Absolute stability and master-slave synchronization of systems with state-dependent nonlinearities ⋮ Absolute exponential stability and stabilization of switched nonlinear systems ⋮ Robust absolute stability and nonlinear state feedback stabilization based on polynomial Lur'e functions ⋮ L²-absolute and input-to-state stabilities of equations with nonlinear causal mappings

Cites Work

• Linear Matrix Inequalities in System and Control Theory

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