Stability Analysis of Continuous-time Switched Systems Based on Jordan Decomposition under Loop-dependent Dwell Time Approach

In this paper, the concept of loop-dependent dwell time is proposed. The asymptotic stability and global uniform exponential stability of switched linear systems under the loop-dependent dwell time constraints are studied, which is completed by eigenvalue decomposition method of subsystem and matrix inequality method, respectively. This paper promotes and deepens the existing theoretical results based on Jordan decomposition, and obtains the less conservative sufficient conditions.