Generalized practical stability analysis of Filippov-type systems

DOI10.1016/J.JMAA.2010.01.028zbMath1195.34017OpenAlexW2056132398MaRDI QIDQ961103

Yongkui Zou, Xumei Chen

Publication date: 29 March 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.01.028

zbMATH Keywords

piecewise smooth systemLyapunov-like functionGP-stabilitytotally GP-stability

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Discontinuous ordinary differential equations (34A36)

Related Items (1)

Twenty Hopf-like bifurcations in piecewise-smooth dynamical systems

Cites Work

• Perturbations and Hopf bifurcation of the planar discontinuous dynamical system
• Stability by Liapunov's direct method. With applications
• Generalized Hopf bifurcation for planar Filippov systems continuous at the origin
• Jumps of the fundamental solution matrix in discontinuous systems and applications
• Practical stability and Lyapunov functions
• On continuous approximation of discontinuous systems
• Topological Degree Approach to Bifurcation Problems
• ON THE STABILITY OF SYSTEMS DEFINED OVER A FINITE TIME INTERVAL
• Bifurcations in nonlinear discontinuous systems
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