Open AccessMoment exponential input‐to‐state stability of non‐linear switched stochastic systems with Lévy noise
Author(s) -
Li Mengling,
Deng Feiqi
Publication year - 2018
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2017.1229
Subject(s) - control theory (sociology) , lyapunov function , moment (physics) , mathematics , asynchronous communication , exponential stability , dwell time , differentiable function , exponential function , state (computer science) , noise (video) , computer science , mathematical analysis , nonlinear system , algorithm , control (management) , physics , classical mechanics , quantum mechanics , artificial intelligence , image (mathematics) , medicine , computer network , clinical psychology
The moment exponential input‐to‐state stability (ISS) problem for a class of non‐linear switched stochastic systems is studied. A continuously differentiable Lyapunov function with indefinite derivative is introduced, which generalises classic Lyapunov function method. Two situations are considered: (i) synchronous switching, i.e. candidate controllers coincide with system modes; (ii) asynchronous switching, i.e. the candidate controllers have a lag to the switching of the system modes. By employing indefinite derivative Lyapunov function method and average dwell‐time approach, sufficient conditions for moment exponential ISS of the systems are derived. Finally, an example is given to illustrate the effectiveness of the authors' results.