Asymptotic stability of dynamical networks

Author

Liu Tao ; David, H. ; Zhao Jun

Author_Institution

Sch. of Eng., Australian Nat. Univ., Canberra, ACT, Australia

fYear

2011

fDate

22-24 July 2011

Firstpage

928

Lastpage

933

Abstract

In this paper, asymptotic stability of dynamical networks with non-identical nodes is investigated. Networks with fixed and switching topologies are discussed, respectively. Different Lyapunov functions for each individual node are used, and sufficient conditions for both cases are derived to guarantee asymptotic stability of such networks. The stabilizing switching signals are identified by using the convex combination method for networks with switching topology. The results obtained are not only restricted to undirected networks, but also applicable to directed networks. A numerical example of switched network is given to show the effectiveness of the proposed results.

Keywords

Lyapunov methods; asymptotic stability; convex programming; topology; asymptotic stability; convex combination method; different Lyapunov functions; dynamical networks; fixed topologies; nonidentical nodes; switching topologies; Asymptotic stability; Couplings; Linear matrix inequalities; Lyapunov methods; Network topology; Switches; Topology; Asymptotic Stability; Dynamical Networks; M-Matrix; Switched Systems; Switching Topology;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2011 30th Chinese

Conference_Location

Yantai

ISSN

1934-1768

Print_ISBN

978-1-4577-0677-6

Electronic_ISBN

1934-1768

Type

conf

Filename

6001374