The Circle Criterion and the $L^p$ Stability of Feedback Systems

DOI10.1137/0320011zbMath0473.93057OpenAlexW2032933300MaRDI QIDQ3929637

Shahkar Mossaheb

Publication date: 1982

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0320011

zbMATH Keywords

circle criterionLp stability of feedback systemsopen-loop unstable systemssector bounded nonlinear feedback gains

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Nonlinear systems in control theory (93C10) Linear systems in control theory (93C05) Laplace transform (44A10) Volterra integral equations (45D05) Model systems in control theory (93C99)

Related Items (5)

Feedback stability of certain non-linear systems ⋮ Riesz-Thorin theorem and \(l_ p\)-stability of nonlinear time-varying discrete systems ⋮ Riesz-thorin and thel_pstability of nonlinear time varying feedback systems ⋮ Converse hölder inequality and the Lp-instability of nonlinear time-varying feedback systems ⋮ Application of a method of averaging to the study of dithers in non-linear systems

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