研究时变连续和离散随机Markov跳跃系统(SMJSs)的能观性问题.基于H表示方法将时变SMJSs转化为等价的时变线性系统,根据线性系统理论得到时变连续和离散SMJSs的能观性Gramian矩阵判据.数值仿真表明了所得结论的正确性.
The observability of time-varying continuous and discrete-time stochastic Markov jump systems(SMJSs) is investigated. Time-varying SMJSs are transformed into the equivalent time-varying linear systems based on the ?-representation method. Gramian matrix criteria for the observability of time-varying continuous and discrete-time SMJSs are derived based on the linear system theory. A numerical example is given to demonstrate the correctness of the obtained results.