Perturbing families of Lyapunov functions and stability in terms of two measures

DOI10.1016/0022-247X(89)90097-8zbMath0681.34045MaRDI QIDQ1823375

Xinzhi Liu, Vangipuram Lakshmikantham

Publication date: 1989

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Lyapunov functionsnonuniform stability

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20)

Related Items (14)

On the stability of a system of equations with fractional derivatives with respect to two measures ⋮ Asymptotic stability for impulsive differential systems ⋮ Stability for impulsive differential systems in terms of two measures ⋮ Stability in several measures and a differential inequality for a partial integral equation ⋮ Lyapunov functions on product spaces and stability theory of delay differential equations ⋮ \(\varphi _{0}\)-boundedness and practical \(\varphi _{0}\)-stability of difference equations ⋮ Strict Practical Stability of Impulsive Differential System in Terms of Two Measures ⋮ Stability in Terms of Two Measures for Stochastic Differential Equations with Markovian Switching ⋮ Practical stabilization of control systems with impulse effects ⋮ On stability of nonlinear systems of ordinary differential equations ⋮ On the asymptotic stability in terms of two measures for functional differential equations ⋮ Special issue: Lakshmikantham's legacy: a tribute on his 75th birthday ⋮ A brief biography and survey of collected works of V. Lakshmikantham ⋮ Stability analysis of impulsive system via perturbing families of Lyapunov functions

Cites Work

• Stability of processes with respect to two metrics
• On the asymptotic stability by nondecrescent Ljapunov function
• On perturbing lyapunov functions
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