scholarly journals Analysis of Discrete-Time Linear Switched Systems: A Variational Approach

2011 ◽  
Vol 49 (2) ◽  
pp. 808-829 ◽  
Author(s):  
Tal Monovich ◽  
Michael Margaliot
Keyword(s):  
Discrete Time ◽  
Switched Systems ◽  
Variational Approach ◽  
Time Linear

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

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 Stochastic Stability of Discrete-Time Switched Systems with a Random Switching Signal

2015 ◽  
Vol 2015 ◽  
pp. 1-9 ◽  
Author(s):  
Kai Liu ◽  
Xiaowu Mu ◽  
Jumei Wei
Keyword(s):  
Discrete Time ◽  
Stochastic Stability ◽  
Switched Systems ◽  
Switching Time ◽  
Necessary And Sufficient Condition ◽  
Lyapunov Approach ◽  
Switching Signal ◽  
Random Switching ◽  
Necessary And Sufficient ◽  
Time Linear

Necessary and sufficient condition for stochastic stability of discrete-time linear switched system with a random switching signal is considered in this paper, assuming that the switching signal allows fixed dwell time before a Markov switch occurs. It is shown that the stochastic stability of the system is equivalent to that of an auxiliary system with state transformations at switching time, whose switching signal is a Markov chain. The stochastic stability is studied using a stochastic Lyapunov approach. The effectiveness of the proposed approach is demonstrated by a numerical example.

New stabilization results for discrete-time positive switched systems with forward mode-dependent average dwell time

2016 ◽  
Vol 39 (2) ◽  
pp. 224-229 ◽  
Author(s):  
Tingting Liu ◽  
Baowei Wu ◽  
Yue-E Wang ◽  
Lili Liu
Keyword(s):  
Discrete Time ◽  
Switched Systems ◽  
Dwell Time ◽  
Stability Result ◽  
Average Dwell Time ◽  
Feedback Controllers ◽  
Multiple Sample ◽  
The Stability ◽  
Positive Switched Systems ◽  
Time Linear

The stability and stabilization of discrete-time linear positive switched systems are discussed in this paper. First, based on the concept of the forward mode-dependent average dwell time, a stability result for discrete-time linear positive switched systems is obtained by utilizing the multiple linear copositive Lyapunov functions. Then, by introducing multiple-sample Lyapunov-like functions variation, a new exponential stability result is derived. Finally, the conditions for the existence of mode-dependent stabilizing state feedback controllers are investigated, and two illustrative examples are given to show the correctness of the theoretical results obtained.

L∞ Interval Observers Design for Actuator Fault Detection of Discrete-Time Linear Switched Systems

2021 ◽  
Author(s):  
Ghassen Marouani ◽  
Thach Ngoc Dinh ◽  
Tarek Raissi ◽  
Shyam Kamal ◽  
Hassani Messaoud
Keyword(s):  
Fault Detection ◽  
Discrete Time ◽  
Switched Systems ◽  
Actuator Fault ◽  
Interval Observers ◽  
Time Linear
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