Attraction domains of systems with polynomial nonlinearities

DOI10.1134/S0005117915070024zbMath1320.93015MaRDI QIDQ500280

A. I. Barkin

Publication date: 2 October 2015

Published in: Automation and Remote Control (Search for Journal in Brave)

zbMATH Keywords

Lyapunov functionssystems of differential equationsattraction domainsnonlinear components of degrees two and threestable linear component

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Lyapunov and storage functions (93D30) Attainable sets, reachability (93B03) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (3)

Evaluation of the domain of attraction of time-varying systems with sector and polynomial nonlinearities ⋮ Asymptotic stability analysis of autonomous systems by applying the method of localization of compact invariant sets ⋮ Investigation of asymptotic stability of equilibria by localization of the invariant compact sets

Cites Work

• Construction of regions of attraction by the Lyapunov function method
• Maximal Lyapunov functions and domains of attraction for autonomous nonlinear systems
• LMI-based computation of optimal quadratic Lyapunov functions for odd polynomial systems
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