Generalization of a stability domain estimation method for nonlinear discrete systems

DOI10.1007/s40314-016-0388-7zbMath1393.39010OpenAlexW2533808417MaRDI QIDQ725743

Rim Zakhama, Naceur Benhadj Braiek, Anis Bacha Bel Hadj Brahim

Publication date: 2 August 2018

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-016-0388-7

zbMATH Keywords

nonlinear systemasymptotic stabilitystability region

Mathematics Subject Classification ID

Numerical investigation of stability of solutions to ordinary differential equations (65L07) Stability theory for difference equations (39A30)

Related Items (1)

A Lyapunov approach for attraction domain estimation of polynomial discrete nonlinear systems with quadratic and cubic terms

Uses Software

• Sostools

Cites Work

• Review on computational methods for Lyapunov functions
• Nonlinear dynamic systems design based on the optimization of the domain of attraction
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• Maximal Lyapunov functions and domains of attraction for autonomous nonlinear systems
• Domain-of-attraction estimation for uncertain non-polynomial systems
• Local stability analysis and domain of attraction estimation for a class of uncertain nonlinear discrete-time systems
• A delta-sampling verification theorem for discrete-time, possibly discontinuous systems
• On the estimation of asymptotic stability regions: State of the art and new proposals
• A new trajectory reversing method for the estimation of asymptotic stability regions

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