Finite-Time Stability Analysis of Impulsive Switched Discrete-Time Linear Systems: The Average Dwell Time Approach

2012 ◽  
Vol 31 (5) ◽  
pp. 1877-1886 ◽  
Author(s):  
Yijing Wang ◽  
Gai Wang ◽  
Xiaomeng Shi ◽  
Zhiqiang Zuo
Keyword(s):  
Stability Analysis ◽  
Linear Systems ◽  
Discrete Time ◽  
Finite Time ◽  
Dwell Time ◽  
Average Dwell Time ◽  
Time Stability ◽  
Finite Time Stability ◽  
Time Linear

scholarly journals Finite-Time Formation of Unmanned Aerial Vehicles with Switching Topologies and Disturbances: An Average Dwell Time Approach

2019 ◽  
Vol 2019 ◽  
pp. 1-12
Author(s):  
Chao Ma ◽  
Wei Wu
Keyword(s):  
Unmanned Aerial Vehicles ◽  
Finite Time ◽  
Dwell Time ◽  
Average Dwell Time ◽  
Time Stability ◽  
External Disturbances ◽  
Finite Time Stability ◽  
Switching Topologies ◽  
Aerial Vehicles ◽  
Formation Problem

This paper investigates the finite-time formation problem of unmanned aerial vehicles (UAVs) with switching topologies and external disturbances. The formation problem is first transformed into the finite-time stability and bounded problems of a switched system, respectively. In particular, the finite-time unachievable topology is concerned for unreliable information exchanges. By employing the average dwell time (ADT) method, sufficient criteria are established to deal with the switching topologies such that the desired time-varying formation can be achieved in finite time. Then, the topology-dependent controller can be designed in terms of matrix technique. Finally, an illustrative example is given to verify the effectiveness of our proposed formation strategy.

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.

Finite-time stability analysis of discrete-time fuzzy Hopfield neural network

2015 ◽  
Vol 159 ◽  
pp. 263-267 ◽  
Author(s):  
Jianjun Bai ◽  
Renquan Lu ◽  
Anke Xue ◽  
Qingshan She ◽  
Zhonghua Shi
Keyword(s):  
Neural Network ◽  
Stability Analysis ◽  
Discrete Time ◽  
Finite Time ◽  
Hopfield Neural Network ◽  
Time Stability ◽  
Finite Time Stability

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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