Distributed Computation of Common Lyapunov Functions

This paper investigates the distributed computation of common Lyapunov functions over multi-agent networks for switching problems. From an optimization perspective, we present a distributed algorithm for solving the nonlinear convex programming problem by means of the projection method. Then we prov...

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Bibliographic Details
Published inChinese Control Conference pp. 2418 - 2423
Main Authors Zeng, Xiong, Zeng, Xianlin, Hong, Yiguang
Format Conference Proceeding
LanguageEnglish
Published Technical Committee on Control Theory, Chinese Association of Automation 01.07.2018
Subjects
Common Lyapunov Functions
Convex functions
Distributed Computation
Linear matrix inequalities
Lyapunov methods
Optimization
Switched systems
Switches
Symmetric matrices
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Summary:This paper investigates the distributed computation of common Lyapunov functions over multi-agent networks for switching problems. From an optimization perspective, we present a distributed algorithm for solving the nonlinear convex programming problem by means of the projection method. Then we prove that the proposed algorithm is Lyapunov stable and can converge to an exact optimal solution of the common Lyapunov functions problem.
ISSN:1934-1768
DOI:10.23919/ChiCC.2018.8482578