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Summary: This article studies a kind of asynchronous fault‐tolerant control problem for stochastic systems (Markov jump systems, MJSs) with multiple‐types of actuator failures. Both the loss of effectiveness and stuck fault of actuator are taken into consideration in a unified actuator failures model. The asynchronization phenomenon between the controller and the original system is described by a hidden Markov model. By coupling the unknown stuck fault of actuator and the external disturbances together, the stuck fault and disturbance can be estimated simultaneously. After this, a fault‐tolerant controller based on the estimated values is designed further to automatically compensate for the faults while preserving the uniformly ultimate boundedness of the solutions. Moreover, a mode‐dependent adaptive event‐triggered mechanism is introduced to limit the number of packets sent on the network. Finally, a numerical example is employed to illustrate the effectiveness of the proposed design scheme. [ABSTRACT FROM AUTHOR]

In this paper, the mean-square exponential stability problem for discrete-time recurrent neural networks with time-varying discrete and distributed delays is investigated. Considering the delay distributions, a novel class of Lyapunov functional is introduced. By exploiting all possible information in mixed time delays, a sufficient condition for the whole system to be mean-square exponentially stable is given. Numerical examples are proposed to illustrate the effectiveness of the method, and show that by using the approach in this paper, the obtained results are less conservative than the existing ones. [ABSTRACT FROM AUTHOR]

A new stochastic switched linear model is established to describe the Zigbee-based wireless networked control system (WNCS) with both network-induced delay and packet dropout. The network-induced delay can be less or longer than one sampling period. A sufficient condition is presented for the exponentially mean square stability of the closed-loop WNCS, and corresponding state feedback controller is designed by using the augmenting technique and multi-Lyapunov approach. Then, combined with carrier sense multiple access with collision avoidance (CSMA-CA) algorithm, a method is given to choose proper parameter values. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed method. [ABSTRACT FROM AUTHOR]

The problem of robust stabilisation for uncertain discrete singular systems with time-varying delay is discussed in this article. First, a new delay-distribution-dependent Lyapunov function is established. Then, sufficient conditions are proposed for guaranteeing that the uncertain discrete singular system with time-varying delay has the properties of regularity, causality and stability. Finally, a suitable robust state feedback controller is designed by linear matrix inequality. Numerical examples illustrate that the results derived from the proposed method are less conservative than the existing ones. [ABSTRACT FROM AUTHOR]