Consensus problem of the first-order linear network and the second-order linear network

Author

Wang, Yating ; Zhou, Wuneng ; Li, Minghao

Author_Institution

Coll. of Inf. Sci. & Technol., Donghua Univ., Shanghai, China

fYear

2010

fDate

26-28 May 2010

Firstpage

4124

Lastpage

4128

Abstract

Consensus problem have a long history in the field of computer science, particularly in automata theory and distributed computation. And in our life, consensus also an important role. In this article, we focus on the first-order linear consensus network with time-delay and the second-order linear consensus network with time-delay. We find out the solvability of asymptotic consensus for a network with time-delay using the Linear Matrix Inequality (LMI) technology, the Lyapunov stability theorem and the frequency-domain knowledge.

Keywords

Lyapunov methods; automata theory; delays; linear matrix inequalities; network theory (graphs); Lyapunov stability; asymptotic consensus solvability; automata theory; computer science; consensus problem; distributed computation; first order linear network; frequency domain knowledge; linear matrix inequality technology; second order linear network; time delay; Automata; Computer science; Distributed computing; History; Linear matrix inequalities; Lyapunov method; Consensus; first-order linear consensus network; second-order linear consensus network; time-delay;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (CCDC), 2010 Chinese

Conference_Location

Xuzhou

Print_ISBN

978-1-4244-5181-4

Electronic_ISBN

978-1-4244-5182-1

Type

conf

DOI

10.1109/CCDC.2010.5498397

Filename

5498397