Related Experiment Video
Updated: Feb 9, 2026

Induction and Assessment of Class Switch Recombination in Purified Murine B Cells
Published on: August 13, 2010
Discretization-based stabilization for a class of switched linear systems with communication delays
Pengfei Li1, Yu Kang1, Yun-Bo Zhao2
1Department of Automation, University of Science and Technology of China, Hefei, 230027, China; State Key Laboratory of Fire Science, University of Science and Technology of China, Hefei, 230027, China; Institute of Advanced Technology, University of Science and Technology of China, Hefei, 230001, China.
Abstract:
The stabilization problem for a class of switched linear systems is investigated in the network environment. Both the synchronous and asynchronous cases are considered according to the availability of the current activated system mode to the actuator. The random communication delay is assumed to be Markovian, resulting in a sampled-data synchronous or asynchronous switched system with Markovian delay as the closed-loop system. We extend the discretization approach to deal with such sampled-data system through exploring the stability conditions of the corresponding discrete-time system. For the asynchronous case, we formulate the closed-loop system as a hybrid system with the switching between its subsystems governed by a switching signal and a Markov chain. By studying the switching number and one-step reachable mode set of the constructed vector-valued switching signal, the exponential mean-square stability (EMSS) conditions and the corresponding mode-dependent controller are obtained with a more general constraint on the designed switching signal. These results are finally verified by two illustrated numerical examples.
Related Concept Videos
BIBO stability of continuous and discrete -time systems
To determine the BIBO stability, the convolution integral is utilized when a bounded continuous-time input is applied to a Linear Time-Invariant (LTI) system....
Systems of Linear Equations in Two Variables
Linear time-invariant Systems
The input-output behavior of an LTI system can be fully defined by its response to an impulsive excitation at its input. Once this impulse response is known, the system's reaction to any other input can be...
Communication
Communication
RNA Stability

