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Summary: This article deals with the problem of stabilization of linear systems with time‐varying input delay by an event‐triggered delay independent truncated predictor feedback law, either of the state feedback type or the output feedback type. Only the information of a delay bound rather than the delay itself is required in the design of both control laws and event‐triggering strategies. For both the state feedback case and the output feedback case, an admissible delay bound that guarantees the stabilizability of a general linear system is established, and the Zeno behavior is shown to be excluded. For linear systems with all open‐loop poles at the origin or in the open left‐half plane, stabilization can be achieved for a delay under an arbitrarily large bound. [ABSTRACT FROM AUTHOR]

This paper studies the problem of global stabilization of general linear systems using event-triggered bounded controls. The system dynamics is decomposed into single input subsystems with various dynamic characteristics. Based on the dynamics of the subsystems, both an event-triggered state feedback law and an event-triggered output feedback law are constructed. Event-triggering updating strategies for the two control laws are designed accordingly. These event-triggered control laws are shown to achieve global asymptotic stabilization. The absence of the Zeno behavior is also established. The validity of the theoretical results is illustrated by numerical simulation. [ABSTRACT FROM AUTHOR]

We consider the distributed secondary voltage control problem for microgrids subject to delays in a connected communication topology. For each distributed generator (DG), a distributed event-triggered control law, which uses its own voltage and those of its neighbors, along with a strategy for its triggering, are designed. Under these distributed event-triggered control laws, the magnitudes of the output voltages of all DGs can be synchronized to their reference value subject to a bounded time-varying delay that can be arbitrarily large, and no Zeno behavior will occur. The simulation results illustrate the theoretical conclusions. [ABSTRACT FROM AUTHOR]

Summary: This paper studies the global leader‐following consensus problem for a multiagent system using event‐triggered linear feedback control laws. The leader agent is described by a neutrally stable linear system and the follower agents are also described by a neutrally stable linear system but with saturating input. Both the state‐feedback case and the output‐feedback case are considered. In each case, an event‐triggered control law is constructed for each follower agent and an event‐triggering strategy is designed for updating these control laws. These event‐triggered control laws are shown to achieve global leader‐following consensus when the communication topology among the follower agents is strongly connected and detailed balanced and the leader is a neighbor of at least one follower agent. The Zeno behavior is excluded. The theoretical results are illustrated by simulation. [ABSTRACT FROM AUTHOR]