Convergent systems vs. incremental stability
From MaRDI portal
Publication:1949137
DOI10.1016/j.sysconle.2012.11.015zbMath1261.93072OpenAlexW2052424788WikidataQ57941982 ScholiaQ57941982MaRDI QIDQ1949137
Publication date: 25 April 2013
Published in: Systems \& Control Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.sysconle.2012.11.015
Lyapunov functionsincremental stabilityconvergent systemsconverse Lyapunov resulttime-varying nonlinear systemsadditional assumptionsequivalence of stability notions
Nonlinear systems in control theory (93C10) Lyapunov and storage functions (93D30) Control/observation systems governed by ordinary differential equations (93C15)
Related Items (28)
A synchronization-based state observer for impact oscillators using only collision time information ⋮ Input-to-state contraction for impulsive systems ⋮ A novel criterion for global incremental stability of dynamical systems ⋮ Convergence conditions for some classes of nonlinear systems ⋮ Distance function design and Lyapunov techniques for the stability of hybrid trajectories ⋮ Contraction analysis of switched systems via regularization ⋮ Output feedback for contraction of nonlinear singularly perturbed systems ⋮ Incremental passivity-based output regulation for switched nonlinear systems via average dwell-time method ⋮ On convergence conditions for generalized Persidskii systems ⋮ Network synchronization using invariant-manifold-based diffusive dynamic couplings with time-delay ⋮ Convex incremental dissipativity analysis of nonlinear systems ⋮ On contraction of functional differential equations with Markovian switching ⋮ LMI conditions for contraction, integral action, and output feedback stabilization for a class of nonlinear systems ⋮ Review on contraction analysis and computation of contraction metrics ⋮ Convergent Systems: Nonlinear Simplicity ⋮ Backstepping controller synthesis and characterizations of incremental stability ⋮ Pullback incremental attraction ⋮ Delay-independent incremental stability in time-varying monotone systems satisfying a generalized condition of two-sided scalability ⋮ The converging-input converging-state property for Lur'e systems ⋮ Input-to-state stability for cascade systems with multiple invariant sets ⋮ Semi-global incremental input-to-state stability of discrete-time Lur'e systems ⋮ Contraction analysis of nonlinear noncausal iterative learning control ⋮ Incremental stability and contraction via impulsive control for continuous-time dynamical systems ⋮ Contracting differential equations in weighted Banach spaces ⋮ Basic properties and characterizations of incremental stability prioritizing flow time for a class of hybrid systems ⋮ Review on computational methods for Lyapunov functions ⋮ Contraction after small transients ⋮ Steady-state performance optimization for nonlinear control systems of Lur'e type
This page was built for publication: Convergent systems vs. incremental stability
