Periodically switched stability induces exponential stability of discrete-time linear switched systems in the sense of Markovian probabilities

Automatica ◽  
2011 ◽  
Vol 47 (7) ◽  
pp. 1512-1519 ◽  
Author(s):  
Xiongping Dai ◽  
Yu Huang ◽  
Mingqing Xiao
Keyword(s):  
Exponential Stability ◽  
Discrete Time ◽  
Switched Systems ◽  
Time Linear

scholarly journals Stability of arbitrarily switched discrete-time linear singular systems of index-1

2018 ◽  
Vol 34 (4) ◽  
Author(s):  
Pham Thi Linh
Keyword(s):  
Exponential Stability ◽  
Discrete Time ◽  
Switched Systems ◽  
Singular Systems ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Positive Switched Systems ◽  
Necessary And Sufficient ◽  
Time Linear

In this paper, the index-1 notion for arbitrarily switched discrete-time linear singular systems (SDLS) has been introduced. Based on the Bohl exponents of SDLS as well as properties of associated positive switched systems, some necessary and sufficient conditions have been established for exponential stability.

scholarly journals Zonotope-based Interval Estimation for Discrete-Time Linear Switched Systems

2020 ◽  
Vol 53 (2) ◽  
pp. 4707-4712
Author(s):  
Wenhan Zhang ◽  
Zhenhua Wang ◽  
Tarek Raïssi ◽  
Thach Ngoc Dinh ◽  
Georgi M. Dimirovski
Keyword(s):  
Discrete Time ◽  
Switched Systems ◽  
Interval Estimation ◽  
Time Linear

Robust Exponential Stability for Uncertain Discrete-Time Switched Systems with Interval Time-Varying Delay via a Switching Signal

2013 ◽  
Vol 479-480 ◽  
pp. 983-988
Author(s):  
Jenq Der Chen ◽  
Chang Hua Lien ◽  
Ker Wei Yu ◽  
Chin Tan Lee ◽  
Ruey Shin Chen ◽  
...  
Keyword(s):  
Exponential Stability ◽  
Discrete Time ◽  
Switched Systems ◽  
Time Varying ◽  
Signal Design ◽  
Robust Exponential Stability ◽  
Interval Time ◽  
Time Varying Delay ◽  
Switching Signal ◽  
Varying Delay

In this paper, the switching signal design to robust exponential stability for discrete-time switched systems with interval time-varying delay is considered. LMI-based conditions are proposed to guarantee the global exponential stability for such system with parametric perturbations by using a switching signal. The appropriate Lyapunov functionals are used to reduce the conservativeness of systems. Finally, a numerical example is illustrated to show the main results.

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