In practice, many dynamical systems can be modeled by multiagent systems (MASs) with different operating modes. The consensus problem of leader-follower MASs with semi-Markovian jump parameters is investigated in this article. First, to save the bandwidth resources of the MASs, adaptive event-triggered communication and double quantization are introduced to design the consensus protocol, in which the event-triggered threshold is dynamically adjusted instead of being a constant, and not only the data from the agents to the consensus controller but also that from the controller to the agents, are both quantized. Next, a sufficient condition is established to ensure the stability of the consensus error system under the adaptive event-triggered condition, and then the consensus controller is developed by matrix inequality approach. Finally, a numeral example is given to demonstrate the effectiveness of the developed consensus controller.

This paper addresses the problem of simultaneous fault detection and control (SFDC) for Markov jump systems (MJSs) over sensor networks. In order to save the bandwidth of the network, round-Robin protocol is adopted for the communication between the sensors and fault detection filter. First, to fully utilize the data of sensor networks, a new distributed system is developed especially for SFDC, and a residual system, which integrates the MJSs with the distributed SFDC system, is also established. Then, by constructing a mode-dependent Lyapunov functional, the conditions for distributed SFDC are derived, which can make the residual system asymptotically mean-square stable and meanwhile satisfy the prescribed H _∞ performance requirements. Finally, comparison analyses are made by examples to illustrate the effectiveness and superiority of the proposed new design approach.

In this article, the problem of stability is investigated for a class of hybrid time-delay systems with double degrees. The systems consist of both discrete and continuous subsystems that have homogeneity and nonzero degrees. Conditions are derived to guarantee the preasymptotic stability of the systems. The relationships of solutions are established between the systems with different sizes using homogeneous properties. Then, equivalent conditions are presented for the analysis of preasymptotic stability. Furthermore, necessary and sufficient delay-independent conditions are developed to analyze the stability of the systems. Finally, two examples are provided to illustrate the effectiveness of the proposed new stability analysis methods.