A new Lyapunov function for stability of time-varying nonlinear perturbed systems
From MaRDI portal
Publication:886203
DOI10.1016/j.sysconle.2006.08.009zbMath1114.93083OpenAlexW2060185628MaRDI QIDQ886203
Mohsen Dlala, Mohamed Ali Hammami, Abdallah BenAbdallah
Publication date: 26 June 2007
Published in: Systems \& Control Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.sysconle.2006.08.009
Nonlinear systems in control theory (93C10) Lyapunov and storage functions (93D30) Perturbations in control/observation systems (93C73) Asymptotic stability in control theory (93D20)
Related Items (32)
Practical stability of stochastic delay evolution equations ⋮ A nonlinear inequality and application to global asymptotic stability of perturbed systems ⋮ State feedback control law for a class of nonlinear time-varying system under unknown time-varying delay ⋮ Gronwall-Bellman type integral inequalities and applications to global uniform asymptotic stability ⋮ On The Practical Stabilization of Dynamical Systems With Application ⋮ Non-uniform asymptotic stability for the damped linear oscillator ⋮ Stability analysis of conformable fractional-order nonlinear systems ⋮ Unnamed Item ⋮ Asymptotic behaviors of solutions of a class of time-varying differential equations ⋮ On the global uniform stability analysis of non-autonomous dynamical systems: A survey ⋮ Practical semiglobal uniform exponential stability of nonlinear nonautonomous systems ⋮ B-essential spectra of \(2 \times 2\) block operator matrix pencils ⋮ Stability of nonlinear time-varying perturbed differential equations ⋮ On the stability of perturbed Volterra integrodifferential equations ⋮ Unnamed Item ⋮ On the region of attraction of dynamical systems: Application to Lorenz equations ⋮ Stability by linear approximation for time scale dynamical systems ⋮ Stabilization of some composite stochastic control systems with nontrivial solutions ⋮ Practical Asymptotic Stability of Nonlinear Stochastic Evolution Equations ⋮ Robust stability of uncertain piecewise-linear systems: LMI approach ⋮ Discussion on Barbalat Lemma extensions for conformable fractional integrals ⋮ On the stability and stabilization of parameter dependent perturbed systems ⋮ On the practical global uniform asymptotic stability of stochastic differential equations ⋮ Asymptotic behavior of a class of perturbed differential equations ⋮ Unnamed Item ⋮ On Practical Stability of Time Scale Perturbed Systems ⋮ Practical partial stability of time-varying systems ⋮ On input-to-state practical \(h\)-stability for nonlinear time-varying systems ⋮ Stability analysis for time-varying nonlinear systems ⋮ Practical exponential stability in mean square of stochastic partial differential equations ⋮ Growth conditions for exponential stability of time-varying perturbed systems ⋮ ON STABILITY CRITERIA OF FRACTAL DIFFERENTIAL SYSTEMS OF CONFORMABLE TYPE
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Necessary and sufficient conditions for uniform semiglobal practical asymptotic stability: application to cascaded systems
- Stability theory by Liapunov's direct method
- Guarenteed rates of exponential convergence for uncertain systems
- A new Lyapunov design approach for nonlinear systems based on Zubov's method
- Integral characterizations of uniform asymptotic and exponential stability with applications
- On the stability of nonlinear control systems with uncertainty
- A Generalization of Zubov's Method to Perturbed Systems
- Constructive Lyapunov stabilization of nonlinear cascade systems
- A Smooth Converse Lyapunov Theorem for Robust Stability
- Growth rate conditions for uniform asymptotic stability of cascaded time-varying systems
This page was built for publication: A new Lyapunov function for stability of time-varying nonlinear perturbed systems