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

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.

Input to Output Finite-Time Stabilization of Discrete-Time Linear Systems

2011 ◽  
Vol 44 (1) ◽  
pp. 156-161 ◽  
Author(s):  
F. Amato ◽  
R. Ambrosino ◽  
M. Ariola ◽  
G. De Tommasi
Keyword(s):  
Linear Systems ◽  
Discrete Time ◽  
Finite Time ◽  
Finite Time Stabilization ◽  
Time Linear

Positive Finite-Time Stabilization for Discrete-Time Linear Systems

2014 ◽  
Vol 137 (1) ◽  
Author(s):  
Wenping Xue ◽  
Kangji Li
Keyword(s):  
Linear Systems ◽  
Discrete Time ◽  
Finite Time ◽  
State Feedback ◽  
Closed Loop ◽  
Linear Matrix ◽  
Closed Loop System ◽  
Initial State ◽  
Finite Time Stability ◽  
Time Linear

In this paper, a new finite-time stability (FTS) concept, which is defined as positive FTS (PFTS), is introduced into discrete-time linear systems. Differently from previous FTS-related papers, the initial state as well as the state trajectory is required to be in the non-negative orthant of the Euclidean space. Some test criteria are established for the PFTS of the unforced system. Then, a sufficient condition is proposed for the design of a state feedback controller such that the closed-loop system is positively finite-time stable. This condition is provided in terms of a series of linear matrix inequalities (LMIs) with some equality constraints. Moreover, the requirement of non-negativity of the controller is considered. Finally, two examples are presented to illustrate the developed theory.

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
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