Compositional Finite-Time Stability analysis of nonlinear systems

Mojtaba Tabatabaeipour, Mogens Blanke

    Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review


    This paper, investigates finite-time stability and finite-time boundedness for nonlinear systems with polynomial vector fields. Finite-time stability requires the states of the system to remain a given bounded set in a finite-time interval and finite-time boundedness considers the same problem for the system but with bounded disturbance. Sufficient conditions for finite-time stability and finite-time boundedness of nonlinear systems as well as a computational method based on sum of squares programming to check the conditions are given. The
    problem of finite-time stability for a system that consists of an interconnection of subsystems is also considered and we show how to decompose the problem into subproblems for each subsystem with coupling constraints. A solution to the problem using sum of squares programming and dual decomposition is presented. The method is demonstrated through some examples.
    Original languageEnglish
    Title of host publicationProceedings of 2014 American Control Conference
    Publication date2014
    ISBN (Print)978-1-4799-3271-9
    Publication statusPublished - 2014
    Event2014 American Control Conference - Hilton Portland & Executive Tower , Portland, United States
    Duration: 4 Jun 20146 Jun 2014


    Conference2014 American Control Conference
    LocationHilton Portland & Executive Tower
    Country/TerritoryUnited States


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