Lyapunov asymptotic stability and Zhukovskij asymptotic stability

DOI10.1016/S0960-0779(99)00089-2zbMath0953.34046MaRDI QIDQ1577190

Xiao-Song Yang

Publication date: 29 October 2000

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

zbMATH Keywords

asymptotic stabilityomega limit setcontinuous dynamical systems

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Asymptotic properties of solutions to ordinary differential equations (34D05) Stability theory for smooth dynamical systems (37C75)

Related Items (8)

Novel robust stability criteria of uncertain neutral systems with discrete and distributed delays ⋮ Novel delay-dependent robust stability criteria for uncertain neutral systems with time-varying delay ⋮ New robust stability condition for uncertain neutral systems with discrete and distributed delays ⋮ Monotone impulsive dynamical systems ⋮ Can state feedback stabilize a chaotic orbit uniformly and asymptotically in the sense of orbital stability? ⋮ On limiting properties of Lyapunov asymptotically stable and Zhukovsky asymptotically rigid trajectories of a dynamic system ⋮ Uniformly asymptotically Zhukovskij stable orbits ⋮ Remarks on three types of asymptotic stability

Cites Work

• Local instability and localization of attractors. From stochastic generator to Chua's systems
• Perspectives of Nonlinear Dynamics
• Probleme General de la Stabilite du Mouvement. (AM-17)
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