Stability results involving time-averaged Lyapunov function derivatives

DOI10.1016/j.nahs.2008.10.005zbMath1157.93459OpenAlexW1972346204MaRDI QIDQ1005317

Anthony N. Michel, Ling Hou

Publication date: 9 March 2009

Published in: Nonlinear Analysis. Hybrid Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nahs.2008.10.005

zbMATH Keywords

stabilityLyapunov functioncontinuous dynamical systemtime-averaged Lyapunov function derivative

Mathematics Subject Classification ID

System identification (93B30) 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)

Related Items (5)

Optimal dichotomy of temporal scales and boundedness/stability of time-varying multidimensional nonlinear systems ⋮ Effective estimation of trapping/stability regions and bilateral solutions' bounds for some multidimensional nonlinear systems with time-varying coefficients ⋮ Successive estimations of bilateral bounds and trapping/stability regions of solution to some nonlinear nonautonomous systems ⋮ On the asymptotic stability of switched homogeneous systems ⋮ Design of sliding observers for Lipschitz nonlinear system using a new time-averaged Lyapunov function

Cites Work

• Stability of dynamical systems. Continuous, discontinuous, and discrete systems
• Unifying theory for stability of continuous, discontinuous, and discrete-time dynamical systems
• Stability theory for hybrid dynamical systems
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