Frequency criteria for the stability and instability in the large of stationary sets of nonlinear systems of differential equations with a single monotone nonlinearity

DOI10.1007/BF00970863zbMath0656.34050MaRDI QIDQ1109946

Nikita Barabanov

Publication date: 1987

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

feedback controlfirst order differential equation

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Stability theory for ordinary differential equations (34D99)

Related Items (2)

Stability of pulse-modulated systems with a monotone equivalent nonlinearity in the modulator ⋮ On absolute (robust) stability: slope restrictions andstability multipliers

Cites Work

• Absolute instability of nonlinear control systems. I: General frequency criteria
• The method of matrix inequalities in the stability theory of nonlinear control systems. II: Absolute stability in a class of nonlinearities with a condition on the derivatives
• Construction of stability multipliers for non-linear feedback systems
• Stability of a Class of Differential Equations with a Single Monotone Nonlinearity
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