Uniform semistability for time-varying dynamical systems and network consensus with time-dependent communication links

Authors:
Qing Hui;Wassim M. Haddad
Affiliations:
Department of Mechanical Engineering, Texas Tech University, Lubbock, TX;School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, GA
Venue:
ACC'09 Proceedings of the 2009 conference on American Control Conference
Year:
2009

Citing 4
Cited 1

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Brief paper: Optimal distributed linear averaging

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Abstract

This paper focuses on uniform semistability and uniform finite-time semistability for time-varying dynamical systems. Semistability is the property whereby the solutions of a dynamical system converge to Lyapunov stable equilibrium points determined by the system initial conditions. Using these results we develop a framework for designing semistable protocols in dynamical networks with time-dependent communication links. Specifically, we present distributed nonlinear time-varying control architectures for multiagent network consensus with dynamic communication links.