In this paper, we investigate the robust fault-tolerant finitetime stabilization problem of switched system with asynchronous switching. The asynchronous switching idea originates from the fact that switching instants of the controllers lag behind or exceed those of subsystems. The attention is focused on designing a robust fault-tolerant asynchronously switched controller that guarantees the f...

Time-varying impulsive positive hybrid systems based on finite state machines (FSMs) are considered in this paper, and the concept of input–output finite time stability (IO-FTS) is extended for this type of hybrid system. The IO-FTS analysis of the single linear time-varying system is given first. Then, the sufficient conditions of IO-FTS for hybrid systems are proposed via the mode-dependent a...

This paper investigates almost sure exponential stabilization of continuous-time Markov jump linear systems (MJLSs) under communication data-rate constraints by introducing sampling and quantization into the feedback control. Different from previous works, times are independent each other in this paper. The is recursively adjusted on time, its updating strategy does not depend switching a inter...

The goal of this article is to present the minimal time needed for null controllability and finite-time stabilization one-dimensional first-order 2 × linear hyperbolic systems. main technical point show that we cannot obtain a better time. proof combines backstepping method with Titchmarsh convolution theorem.

In this article we are interested in the boundary stabilization finite time of one-dimensional linear hyperbolic balance laws with coefficients depending on and space. We extend so called "backstepping method" by introducing appropriate time-dependent integral transformations order to map our initial system a new one which has desired stability properties. The kernels involved solutions non sta...