Non-monotonicity of Lyapunov functions for functional differential equations with enlightenments for related research methods

DOI10.1080/00207721.2014.973927zbMath1345.93079OpenAlexW2064164222MaRDI QIDQ2822258

Xue-yan Zhao, Fei Qi Deng

Publication date: 30 September 2016

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207721.2014.973927

zbMATH Keywords

stabilityLyapunov functionfunctional differential equationRazumikhin techniqueHalanay inequality

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Lyapunov and storage functions (93D30) Control/observation systems governed by functional-differential equations (93C23) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Control/observation systems governed by ordinary differential equations (93C15)

Cites Work

• Generalized Halanay inequalities for dissipativity of Volterra functional differential equations
• Stability analysis of some delay differential inequalities with small time delays and its applications
• Differential equations: Stability, oscillations, time lags
• Moment stability of nonlinear discrete stochastic systems with time-delays based on \(\mathcal{H}\)-representation technique
• Razumikhin-type theorems on stability of stochastic retarded systems
• Razumikhin-Type Theorems on Stability of Neutral Stochastic Functional Differential Equations
• New Delay-Dependent Stability Criteria and Stabilizing Method for Neutral Systems
• Further Improvement of Free-Weighting Matrices Technique for Systems With Time-Varying Delay
• New-type stability theorem for stochastic functional differential equations with application to SFDSs with distributed delays

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