Observer‐based finite‐time stabilization for discrete‐time switched singular systems with quadratically inner‐bounded nonlinearities

2019 ◽  
Vol 29 (6) ◽  
pp. 2041-2062 ◽  
Author(s):  
Yuchen Sun ◽  
Shuping Ma
Keyword(s):  
Discrete Time ◽  
Finite Time ◽  
Singular Systems ◽  
Finite Time Stabilization

scholarly journals Robust Finite-Time Stabilization for Uncertain Discrete-Time Linear Singular Systems

IEEE Access ◽  
2020 ◽  
Vol 8 ◽  
pp. 100645-100651
Author(s):  
Jianxin Wang ◽  
Hecheng Wu ◽  
Xiaofu Ji ◽  
Xuehua Liu
Keyword(s):  
Discrete Time ◽  
Finite Time ◽  
Singular Systems ◽  
Finite Time Stabilization ◽  
Time Linear

Robust finite-time H ∞ control for uncertain discrete-time singular systems with Markovian jumps

2014 ◽  
Vol 8 (12) ◽  
pp. 1105-1111 ◽  
Author(s):  
Yingqi Zhang ◽  
Sing Kiong Nguang ◽  
Yongduan Song ◽  
Peng Shi
Keyword(s):  
Discrete Time ◽  
Finite Time ◽  
Singular Systems

scholarly journals Finite-Time Stability Analysis of Discrete-Time Linear Singular Systems

2014 ◽  
Vol 2014 ◽  
pp. 1-6
Author(s):  
Songlin Wo ◽  
Xiaoxin Han
Keyword(s):  
Discrete Time ◽  
Finite Time ◽  
Singular Systems ◽  
Linear Matrix ◽  
Sufficient Condition ◽  
Necessary And Sufficient Condition ◽  
Time Stability ◽  
Finite Time Stability ◽  
Necessary And Sufficient ◽  
Time Linear

The finite-time stability (FTS) problem of discrete-time linear singular systems (DTLSS) is considered in this paper. A necessary and sufficient condition for FTS is obtained, which can be expressed in terms of matrix inequalities. Then, another form of the necessary and sufficient condition for FTS is also given by using matrix-null space technology. In order to solve the stability problem expediently, a sufficient condition for FTS is given via linear matrix inequality (LMI) approach; this condition can be expressed in terms of LMIs. Finally, an illustrating example is also given to show the effectiveness of the proposed method.

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