Finite-time stability of linear time-varying systems with jumps: Analysis and controller design

F. Amato, R. Ambrosino, M. Ariola, F. Calabrese, C. Cosentino
2008 2008 American Control Conference  
This paper deals with the finite-time stability problem for continuous-time linear time-varying systems with finite jumps. This class of systems arises in many practical applications and includes, as particular cases, impulsive systems and sampled-data control systems. The paper provides a necessary and sufficient condition for finite-time stability, requiring a test on the state transition matrix of the system under consideration, and a sufficient condition involving two coupled
more » ... pled differential/difference linear matrix inequalities. The sufficient condition turns out to be more efficient from the computational point of view. Moreover, it is the starting point for solving the stabilization problem, namely for finding a state feedback controller which finite-time stabilizes the closed loop system. Some examples illustrate the effectiveness of the proposed approach. † F. Amato and C. Cosentino are with the
doi:10.1109/acc.2008.4586726 dblp:conf/amcc/0001AACC08 fatcat:nhxyyd36bvbd3o2d6vz2ozuife