A less conservative stability test for second-order linear time-varying vector differential equations

DOI10.1080/00207170601028899zbMath1117.93061OpenAlexW2010985108MaRDI QIDQ3442656

Jitao Sun, Qing-Guo Wang, Qing-Chang Zhong

Publication date: 18 May 2007

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207170601028899

zbMATH Keywords

exponential stabilitystability of stationary solutionsexplicit stability criteria

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Input-output approaches in control theory (93D25) Linear systems in control theory (93C05) Asymptotic stability in control theory (93D20) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (11)

Stability analysis for the Lienard equation with discontinuous coefficients ⋮ Integrally small perturbations of linear nonautonomous systems ⋮ Stability analysis of complex-valued nonlinear delay differential systems ⋮ Quadratic stability and stabilization of matrix second‐order time‐varying systems ⋮ Attitude stabilization of a rigid body in conditions of decreasing dissipation ⋮ An improved stability test and stabilisation of linear time-varying systems governed by second-order vector differential equations ⋮ Exponential stability of systems of vector delay differential equations with applications to second order equations ⋮ On the asymptotic stability of nonlinear time-varying switched systems ⋮ Robust stability of uncertain second-order linear time-varying systems ⋮ Stabilisation of time-varying linear systems via Lyapunov differential equations ⋮ L_∞andL₂semi-global stabilisation of continuous-time periodic linear systems with bounded controls

Cites Work

• On Lyapunov stability of nonautonomous mechanical systems
• On exponential stability of nonlinear time-varying differential equations
• Criteria for robust absolute stability of time-varying nonlinear continuous-time systems
• Exponential stability and solution bounds for systems with bounded nonlinearities
• Stability and Instability Matrices for Linear Evolution Variational Inequalities
• On the Stability and Control of Nonlinear Dynamical Systems via Vector Lyapunov Functions
• Robust Stability and Diagonal Liapunov Functions
• Stability of linear systems governed by second order vector differential equations

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