Abstract
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.
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 language | English |
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Title of host publication | Proceedings of 2014 American Control Conference |
Publisher | IEEE |
Publication date | 2014 |
Pages | 1851-1857 |
ISBN (Print) | 978-1-4799-3271-9 |
DOIs | |
Publication status | Published - 2014 |
Event | 2014 American Control Conference - Hilton Portland & Executive Tower , Portland, United States Duration: 4 Jun 2014 → 6 Jun 2014 |
Conference
Conference | 2014 American Control Conference |
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Location | Hilton Portland & Executive Tower |
Country/Territory | United States |
City | Portland |
Period | 04/06/2014 → 06/06/2014 |