Expansion of linear and semilinear systems and the Popov criterion

DOI10.1080/00207178208922674zbMath0483.93067OpenAlexW2135558029MaRDI QIDQ3942852

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Publication date: 1982

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

Full work available at URL: https://doi.org/10.1080/00207178208922674

zbMATH Keywords

Popov stability criterionmultivariable nonlinear expanded systems

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Nonlinear systems in control theory (93C10) Multivariable systems, multidimensional control systems (93C35) Popov-type stability of feedback systems (93D10) Linear systems in control theory (93C05) Canonical forms, reductions, classification (15A21)

Cites Work

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• Application of M-matrices to the stability problems of composite dynamical systems
• Stability of control systems with multiple nonlinearities
• Stability of non-linearly interconnected systems and the small gain theorem
• Input-output stability of interconnected systems using decompositions: An improved formulation
• Algebraic Structure of Generalized Positive Real Matrices

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