@article{Yu2024, 
author = {Qiang Yu and Xiujuan Jiang},
title = {Stability analysis of discrete-time switched systems with bipartite PDT switching},
year = {2024},
journal = {Electronic Research Archive},
volume = {32},
number = {11},
pages = {6320-6337},
keywords = {switched systems, bipartite persistent dwell-time, binary quasi-time-varying Lyapunov function, stabilization, controller},
url = {https://www.sciopen.com/article/10.3934/era.2024294},
doi = {10.3934/era.2024294},
abstract = {The stability and stabilization problems of discrete-time switched systems are studied under the so-called bipartite persistent dwell-time switching, which is proposed by relaxing some of the limitations in existing persistent dwell-time switching. This paper provides new stability criteria for discrete-time switched systems using a binary quasi-time-varying Lyapunov function. Next, the stabilizing controllers for discrete-time switched-controlled systems are designed. Finally, we give a practical example to show the effectiveness of the conclusions and less conservatism than those based on the persistent dwell-time switching.}
}