Set theory conditions for stability of linear impulsive systems

@article{Fiacchini2014SetTC,
  title={Set theory conditions for stability of linear impulsive systems},
  author={Mirko Fiacchini and Irinel-Constantin Morarescu},
  journal={53rd IEEE Conference on Decision and Control},
  year={2014},
  pages={1527-1532}
}
In this paper we give tractable necessary and sufficient condition for the global exponential stability of a linear impulsive system. The reset rule considered in the paper is quasi-periodic and the stability analysis is based on a standard tool in set theory that is Minkowski functional. Firstly, we reformulate the problem in term of discrete-time parametric uncertain system with the state matrix belonging to a compact but non-convex set. Secondly, we provide a tractable algorithm for testing… CONTINUE READING