Algebraic analysis on asymptotic stability of continuous dynamical systems

DOI10.1145/1993886.1993933zbMath1323.68627OpenAlexW2022083272MaRDI QIDQ5254188

Zhikun She, Bai Xue, Zhi Ming Zheng

Publication date: 9 June 2015

Published in: Proceedings of the 36th international symposium on Symbolic and algebraic computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1145/1993886.1993933

zbMATH Keywords

Lyapunov functionsLyapunov matrix equationssemi-algebraic setsreal root classification

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Stability of solutions to ordinary differential equations (34D20) Semialgebraic sets and related spaces (14P10)

Related Items (3)

Exact asymptotic stability analysis and region-of-attraction estimation for nonlinear systems ⋮ Discovering polynomial Lyapunov functions for continuous dynamical systems ⋮ Dynamics of a density-dependent stage-structured predator-prey system with Beddington-DeAngelis functional response

Uses Software

• QEPCAD
• Sostools
• REDLOG
• YALMIP
• PENBMI

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