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This paper is concerned with the event-based finite-time H ∞ control problem for a class of networked state-saturated switched systems subject to time delays, nonlinear perturbations and exogenous disturbances. The event-triggered transmission protocol is introduced to schedule the data transmission and so the communication network burdens can be mitigated. The state saturation restraints can be removed by means of transforming the original model into a new polyhedron system via a convex hull description approach. By considering two coupling cases between the mode switching signal and the event triggering signal, the sufficient finite-time H ∞ performance analysis criterion is provided based on average dwell time (ADT) analysis technique. Then, an event-triggered state-feedback controller is designed to ensure that the closed-loop system is finite-time bounded and satisfies the specified H ∞ disturbance attenuation performance. The desired controller can be obtained by solving a set of convex optimisation problems. Finally, a numerical example shows the usefulness of the theoretical results. [ABSTRACT FROM AUTHOR]

This paper concerns the stability analysis for singular systems with time-varying delay and nonlinear perturbations. Two cases of time-varying delay, which is differentiable (Case 1) or not differentiable (Case 2), are considered. The considered nonlinear perturbations includes the norm-bounded uncertainties as a special case. Some delay-dependent stability criteria are derived by using a delay decomposition approach. In the delay decomposition approach, the entire delay interval is divided into multiple sub-intervals for which different energy functions are defined for building new Lyapunov–Krasovskii functional. Some numerical and practical examples are given to show the effectiveness and significant improvement of the proposed method. [ABSTRACT FROM PUBLISHER]