H∞ -control for Markovian jumping linear systems with parametric uncertainty
Journal of Optimization Theory and Applications
Logic-based switching algorithms in control
Logic-based switching algorithms in control
SIAM Journal on Control and Optimization
Automatica (Journal of IFAC)
Almost sure exponential stability of recurrent neural networks with Markovian switching
IEEE Transactions on Neural Networks
Brief paper: Stability analysis of switched stochastic systems
Automatica (Journal of IFAC)
Stability analysis of switched systems using variational principles: An introduction
Automatica (Journal of IFAC)
Technical Communique: A new stability analysis of switched systems
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
On stabilizability and exact observability of stochastic systems with their applications
Automatica (Journal of IFAC)
Stability analysis and stabilization control of multi-variable switched stochastic systems
Automatica (Journal of IFAC)
Hi-index | 22.14 |
For stochastic systems with state-dependent switching which are motivated by active regions of subsystems, the exponential stability is studied in this paper. Distinct from most of the existing references, the existence of the solution to stochastic switched systems is not given as a priori information but can be proved under some easily verified conditions. By the aid of Dynkin's formula, Ito's formula and exponential martingale inequality, the criteria on moment exponential stability and almost sure exponential stability of the stochastic switched system are established based on Lyapunov-like techniques. Simulation examples are presented to illustrate the validity of the results.