On the stability of nonautonomous systems

DOI10.1016/S0005-1098(02)00206-6zbMath1049.93072MaRDI QIDQ1858390

Yanyan Li

Publication date: 13 February 2003

Published in: Automatica (Search for Journal in Brave)

zbMATH Keywords

stabilitynonlinear systemsRiccati equationsLyapunov functionssemidefinite functions

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Lyapunov and storage functions (93D30) Asymptotic stability in control theory (93D20)

Related Items (8)

Adaptive control for nonlinear non-autonomous systems with unknown input disturbance ⋮ On the construction of the Lyapunov function with sign-definite derivative with the help of auxiliary functions with sign-constant derivatives ⋮ Application of passivity and cascade structure to robust control against loss of actuator effectiveness ⋮ Stability and boundedness results for certain nonlinear vector differential equations of the fourth order ⋮ Unnamed Item ⋮ Method of semidefinite Lyapunov functions for systems of nonautonomous differential equations ⋮ Degenerate functions in the analysis of asymptotic stability of solutions of functional differential equations ⋮ The method of Lyapunov-Razumikhin functions in stability analysis of systems with delay

Cites Work

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• Stability by Liapunov's direct method. With applications
• Stability for dynamical systems with first integrals: A topological criterion
• Stability theory by Liapunov's direct method
• Semidefinite Lyapunov functions stability and stabilization
• Stability of nonautonomous systems
• A new asymptotic stability criterion for nonlinear time-variant differential equations
• A contribution to matrix quadratic equations

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