Conley index condition for asymptotic stability

DOI10.1016/j.na.2011.04.014zbMath1231.34093OpenAlexW2007010442MaRDI QIDQ548630

Qing Hui, Emmanuel Moulay

Publication date: 29 June 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.04.014

zbMATH Keywords

asymptotic stabilityConley index

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Symmetries, invariants of ordinary differential equations (34C14) Stability of solutions to ordinary differential equations (34D20) Index theory for dynamical systems, Morse-Conley indices (37B30)

Related Items (2)

Robust and nonlinear control literature survey (No. 26) ⋮ Retraction obstruction to time-varying stabilization

Cites Work

• Stability by Liapunov's direct method. With applications
• A necessary condition for feedback stabilization
• Topological properties of asymptotically stable sets
• Some comments on stabilizability
• Computational homology
• Necessary conditions of asymptotic stability for unilateral dynamical systems
• Zeta functions, periodic trajectories, and the Conley index
• Local asymptotic feedback stabilization to a submanifold: topological conditions
• A survey of degree theory: Basis and development
• The structured phase margin for robust stability analysis of linear systems with phase and time delay uncertainties
• Connected Simple Systems and The Conley Index of Isolated Invariant Sets
• On Brockett’s Condition for Smooth Stabilizability and Its Necessity in a Context of Nonsmooth Feedback
• Necessary conditions for stability and attractivity of continuous systems
• Simultaneous Stabilization of Linear and Nonlinear Systems by Means of Nonlinear State Feedback
• Topological Obstructions to Submanifold Stabilization
• A Lemma in the Theory of Structural Stability of Differential Equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Conley index condition for asymptotic stability