Finite‐time stability of interconnected impulsive switched systems

Zong, Guangdeng; Ren, Hangli; Hou, Linlin

doi:10.1049/iet-cta.2015.0617

Cited by 155 publications

(60 citation statements)

References 22 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…On the other hand, in many practical systems, the state variable should be less than a certain bound during a fixed time interval, such as asynchronous transfer mode network control and aircraft control; hence, finite‐time stability is useful in these cases . In recent years, finite‐time stability and stabilization and H ∞ finite‐time control problems have been widely investigated . For example, Lin et al discussed finite‐time boundedness and L 2 ‐gain analysis for switched delay systems and switched systems with ADT, respectively.…”

Section: Introductionmentioning

confidence: 99%

“…In the work of Amato et al, finite‐time control for linear systems subject to time‐varying parametric uncertainties was considered, and a sufficient condition for robust finite‐time stabilization via state feedback was provided. Zong et al discussed the finite‐time stability of interconnected impulsive systems. Muoi et al discussed the finite‐time stabilization problem for singular linear discrete delay systems.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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

Sun

2019

Intl J Robust & Nonlinear

View full text Add to dashboard Cite

Summary This paper discusses the observer‐based finite‐time stabilization for discrete‐time switched singular systems with quadratically inner‐bounded nonlinear terms. Firstly, based on the Luenberger‐like observer, by using the average dwell time approach, sufficient conditions are proposed to make closed‐loop systems be regular, be causal, as having a unique solution, and be uniformly finite‐time bounded. Then, a new linear matrix inequality sufficient condition for the existence of an observer‐based controller is obtained by using certain matrix decoupling techniques, and the controller is designed. In this paper, the conditions proposed not only give the observer‐based controller design methods but also guarantee the existence and uniqueness of solution for the systems. Since the quadratically inner‐bounded nonlinearities are more general than Lipschitz nonlinearities and one‐sided Lipschitz nonlinearities, compared with previous works, the proposed controller design methods in this paper are also more general than the existing ones. Finally, numerical examples are provided to illustrate the effectiveness of the methods proposed in this paper.

show abstract

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

Sun

2019

Intl J Robust & Nonlinear

View full text Add to dashboard Cite

show abstract

“…As a special kind of positive systems [1][2][3], the positive switched systems whose output and state are nonnegative whenever the initial condition and input are nonnegative have been found in many applications such as communication networks [4], viral mutation [5], and formation flying [6]. There have been many available results about continuoustime positive switched systems [7][8][9][10][11] and discrete-time positive switched systems [12][13][14].…”

Section: Introductionmentioning

confidence: 99%

Guaranteed Cost Finite‐Time Control of Discrete‐Time Positive Impulsive Switched Systems

et al. 2018

View full text Add to dashboard Cite

This paper considers the guaranteed cost finite-time boundedness of discrete-time positive impulsive switched systems. Firstly, the definition of guaranteed cost finite-time boundedness is introduced. By using the multiple linear copositive Lyapunov function (MLCLF) and average dwell time (ADT) approach, a state feedback controller is designed and sufficient conditions are obtained to guarantee that the corresponding closed-loop system is guaranteed cost finite-time boundedness (GCFTB). Such conditions can be solved by linear programming. Finally, a numerical example is provided to show the effectiveness of the proposed method.

show abstract

“…As a special kind of switched systems, the positive switched systems, whose output and state are nonnegative whenever the initial condition and input are nonnegative, have been applied in many practical systems, such as communication networks [1], viral mutation [2], formation ying [3], and so on. Many remarkable results have been presented, see [4][5][6][7][8][9][10][11] and references therein.…”

Section: Introductionmentioning

confidence: 99%

Guaranteed cost finite-time control of positive switched nonlinear systems with D-perturbation

et al. 2017

View full text Add to dashboard Cite

This paper considers the guaranteed cost nite-time boundedness of positive switched nonlinear systems with D-perturbation and time-varying delay. Firstly, the de nition of guaranteed cost nite-time boundedness is introduced. By using the Lyapunov-Krasovskii functional and average dwell time (ADT) approach, an output feedback controller is designed and su cient conditions are obtained to ensure the corresponding closed-loop systems to be guaranteed cost nite-time boundedness (GCFTB). Such conditions can be solved by linear programming. Finally, two examples are provided to show the e ectiveness of the proposed method.

show abstract

Finite‐time stability of interconnected impulsive switched systems

Cited by 155 publications

References 22 publications

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

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

Guaranteed Cost Finite‐Time Control of Discrete‐Time Positive Impulsive Switched Systems

Guaranteed cost finite-time control of positive switched nonlinear systems with D-perturbation

Contact Info

Product

Resources

About