Improved algorithm for computing the domain of attraction of rational nonlinear systems

DOI10.1016/j.ejcon.2017.10.003zbMath1380.93210OpenAlexW2766724074MaRDI QIDQ681144

Péter Polcz, Gábor Szederkényi, Tamás Péni

Publication date: 30 January 2018

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

Full work available at URL: http://real.mtak.hu/85046/1/PolczEtAl-Improved%20algorithm%20for%20computing%20the%20domain%20of%20attraction%20of%20rational%20nonlinear%20systems-EJC17preprint.pdf

zbMATH Keywords

stabilityuncertain systemslinear matrix inequalitiesnonlinear systemsLyapunov functionsdomain of attraction

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Nonlinear systems in control theory (93C10) Control/observation systems with incomplete information (93C41) Asymptotic stability in control theory (93D20)

Related Items (4)

Lyapunov function computation for autonomous systems with complex dynamic behavior ⋮ Stabilization of rational nonlinear discrete-time systems by state feedback and static output feedback ⋮ Induced \(\mathcal{L}_2\)-gain computation for rational LPV systems using Finsler's lemma and minimal generators ⋮ Computational method for estimating the domain of attraction of discrete-time uncertain rational systems

Uses Software

• YALMIP
• Mosek
• LFR-toolbox
• SMRSOFT

Cites Work

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• Perspectives in robust control. Papers of the robust control workshop, Newcastle, Australia, December 6--8, 2000

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