Asymptotic stability analysis of autonomous systems by applying the method of localization of compact invariant sets
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Publication:339952
DOI10.1134/S1064562416040025zbMath1350.93075MaRDI QIDQ339952
Publication date: 11 November 2016
Published in: Doklady Mathematics (Search for Journal in Brave)
asymptotic stabilityautonomous systems of differential equationslocalization of compact invariant sets
Nonlinear systems in control theory (93C10) Asymptotic stability in control theory (93D20) Control/observation systems governed by ordinary differential equations (93C15)
Related Items (10)
Stability of equilibria of discrete-time systems in terms of invariant sets ⋮ Construction of Lyapunov functions by the method of localization of invariant compact sets ⋮ Fixed-time sliding mode controller design for a class of nonlinear Markovian jumping systems ⋮ Behavior of trajectories of systems with nonnegative variables ⋮ Stability of equilibria of discrete-time systems and localization of invariant compact sets ⋮ Behavior of trajectories of time-invariant systems ⋮ Global asymptotic stability analysis by the localization method of invariant compact sets ⋮ Localizing sets and behavior of trajectories of time-varying systems ⋮ Behavior of trajectories of the Levinson-Smith equation ⋮ Nonnegative solutions of systems with fractional-rational right-hand sides and localization of attractors
Cites Work
- Computation of Lyapunov functions for systems with multiple local attractors
- Localization of simple and complex dynamics in nonlinear systems
- Attraction domains of systems with polynomial nonlinearities
- Estimations of domains with cycles
- On the global dynamics of a chronic myelogenous leukemia model
- Localization of invariant compact sets of dynamical systems
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