Model and Stability of a Class of Hybrid Systems Based on Hybrid Stochastic Petri Nets
Zhai Changlian · Control theory & applications · 2000
Hybrid systems in which continuous dynamics is respectively included in each discrete state and discrete states have the Markov chain property is discussed.A hybrid model,HSPN (hybrid stochastic Petri nets), suitable for both analysis of hybrid systems and synthesis of hybrid controller is presented.Meanwhile,the mean square stability of the hybrid systems is defined.The stability condition and the stabilizability condition of hybrid system are proposed.Finally,an example is given.