Contraction Analysis for a Class of NonDifferentiable Systems with Applications to Stability and Network Synchronization

DOI10.1137/120883001zbMath1304.93040arXiv1110.0855OpenAlexW1977291814MaRDI QIDQ5173277

Giovanni Russo, Davide Liuzza, Mario di Bernardo

Publication date: 9 February 2015

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.0855

zbMATH Keywords

convergencenetworkscontraction theorypiecewise smooth systems

Mathematics Subject Classification ID

Small world graphs, complex networks (graph-theoretic aspects) (05C82) Nonlinear systems in control theory (93C10) Asymptotic stability in control theory (93D20) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30) Synchronization of solutions to ordinary differential equations (34D06)

Related Items (6)

Contraction and incremental stability of switched Carathéodory systems using multiple norms ⋮ On Contraction of Functional Differential Equations ⋮ Contraction analysis of switched systems via regularization ⋮ Convergence and synchronization in heterogeneous networks of smooth and piecewise smooth systems ⋮ On distributed coordination in networks of cyber-physical systems ⋮ A contractive approach to separable Lyapunov functions for monotone systems

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