On the asymptotic stability of solutions of nonlinear systems with delay

DOI10.1134/S0037446612020218zbMath1258.34148MaRDI QIDQ1760514

Xianqiang Yang

Publication date: 14 November 2012

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

zbMATH Keywords

delay systemasymptotic stabilityLyapunov functions

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Stability of solutions to ordinary differential equations (34D20)

Related Items (17)

Estimates for solutions of homogeneous time-delay systems: comparison of Lyapunov–Krasovskii and Lyapunov–Razumikhin techniques ⋮ Asymptotic stability conditions and estimates of solutions for nonlinear multiconnected time-delay systems ⋮ Partial stability analysis of nonlinear nonstationary systems via averaging ⋮ Complete type functionals for homogeneous time delay systems ⋮ A note on delay robustness for homogeneous systems with negative degree ⋮ Homogeneity of neutral systems and accelerated stabilization of a double integrator by measurement of its position ⋮ Lyapunov–Krasovskii functionals for homogeneous time delay systems of neutral type ⋮ Analysis of robustness of homogeneous systems with time delays using Lyapunov‐Krasovskii functionals ⋮ Stability of homogeneous systems with distributed delay and time-varying perturbations ⋮ Unnamed Item ⋮ Global and Local Weighted Homogeneity for Time-Delay Systems ⋮ On estimation of rates of convergence in Lyapunov-Razumikhin approach ⋮ Time-delayed feedback stabilisation of nonlinear potential systems ⋮ Boundary control of a parabolic system with distributed parameters on a graph in the class of summable functions ⋮ Stability analysis of switched homogeneous time-delay systems under synchronous and asynchronous commutation ⋮ Lyapunov--Krasovskii Functional for Discretized Homogeneous Systems ⋮ Delay-independent stability of homogeneous systems

Cites Work

• Global stabilization of nonlinear cascade systems
• Homogeneous Lyapunov function for homogeneous continuous vector field
• Theory of functional differential equations. 2nd ed
• Three types of matrix stability
• To the question of stability with respect to nonlinear approximation
• Growth rate conditions for uniform asymptotic stability of cascaded time-varying systems
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