Partial stability and boundedness of general dynamical systems on metric spaces

DOI10.1016/S0362-546X(02)00167-0zbMath1035.37008OpenAlexW2040601125MaRDI QIDQ1863503

Anthony N. Michel, Alexander Molchanov, Ye Sun

Publication date: 11 March 2003

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/s0362-546x(02)00167-0

zbMATH Keywords

stabilityinvariant setexponential stabilitydiscrete event systemasymptotic stabilitydynamical systempartial stabilityvector Lyapunov functioncomparison systemboundedness of motionsstability preserving mappings

Mathematics Subject Classification ID

Related Items (9)

Approach to the stability analysis of partial equilibrium states of nonlinear discrete systems ⋮ Unnamed Item ⋮ Extensions of weak-invariance principle for nonlinear switched systems with time-invariant and time-varying subsystems ⋮ On the stability of invariant sets of systems with impulse effect ⋮ Partial exponential stability of nonlinear time-varying large-scale systems ⋮ Partial equi-asymptotic stability of nonlinear dynamical systems ⋮ Partial stability and control: the state-of-the-art and future trends ⋮ Unknown input observer for state affine systems: a necessary and sufficient condition ⋮ Partial asymptotic stability in probability of stochastic differential equations

Cites Work

• Large scale systems stability under structural and singular perturbations
• Method of Lyapunov-vector function s in feedback systems
• $L_2 $-Stability and -Instability of Large-Scale Systems Described by Integrodifferential Equations
• Partial stability of large-scale systems
• Über stabilitätserhaltende Abbildungen und Ljapunovsche Funktionen.
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