This paper considers the exponential almost sure (EAS) stability and stabilization problems of continuous-time Markovian jump systems (MJSs) with alternative and continuous controller failures. By introducing a piecewise constant function, the dwell times of a controller useful or not are modeled to be time-variant, whose bounds are also included. Then, sufficient conditions for EAS stability are established by using a method on its stochastic transfer matrix. Moreover, the statistically transient properties of Markov process are considered, and the control gains is gotten by solving some Lyapunov equations. Two examples are used to demonstrate the effectiveness and superiority of the proposed methods.

本文考虑具有交替和连续控制器故障的连续时间马尔可夫跳跃系统（MJS）的指数几乎确定（EAS）稳定性和稳定问题。通过引入分段常数函数，可以将有用或无效的控制器的停留时间建模为时变的，其时域也包括在内。然后，通过其随机转移矩阵上的方法，为EAS稳定性建立了充分的条件。此外，考虑了马尔可夫过程的统计瞬态性质，并通过求解一些Lyapunov方程获得控制增益。使用两个例子来证明所提出方法的有效性和优越性。