Input‐output finite‐time stability of fractional‐order switched singular continuous‐time systems

In the paper, new results on finite-time control of fuzzy continuous nonlinear systems subject to exogenous disturbance are presented. Applying the Lyapunov function theory, some sufficient conditions including relaxed ones are established for finite-time stability by fuzzy controller laws.

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Input–output finite-time stability of discrete-time systems under finite-time boundedness

International Journal of Systems Science ◽

10.1080/00207721.2018.1554170 ◽

2018 ◽

Vol 50 (2) ◽

pp. 419-431 ◽

Cited By ~ 3

Author(s):

Shuai Zhang ◽

Yang Guo ◽

Shicheng Wang ◽

Xiaoxiang Hu ◽

Xu Xie

Keyword(s):

Discrete Time ◽

Finite Time ◽

Input Output ◽

Time Stability ◽

Finite Time Stability ◽

Discrete Time Systems ◽

Finite Time Boundedness ◽

Time Systems

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Input–output finite time stability of fractional order linear systems with 0 < α < 1

Transactions of the Institute of Measurement and Control ◽

10.1177/0142331215617237 ◽

2015 ◽

Vol 39 (5) ◽

pp. 653-659 ◽

Cited By ~ 6

Author(s):

Ya-jing Ma ◽

Bao-wei Wu ◽

Yue-E Wang ◽

Ye Cao

Keyword(s):

Fractional Order ◽

Finite Time ◽

Linear Time ◽

Singular Systems ◽

Sufficient Conditions ◽

Input Output ◽

Time Stability ◽

Caputo Fractional Derivatives ◽

Order Linear ◽

Finite Time Stability

The input–output finite time stability (IO-FTS) for a class of fractional order linear time-invariant systems with a fractional commensurate order 0 < α < 1 is addressed in this paper. In order to give the stability property, we first provide a new property for Caputo fractional derivatives of the Lyapunov function, which plays an important role in the main results. Then, the concepts of the IO-FTS for fractional order normal systems and fractional order singular systems are introduced, and some sufficient conditions are established to guarantee the IO-FTS for fractional order normal systems and fractional order singular systems, respectively. Finally, the state feedback controllers are designed to maintain the IO-FTS of the resultant fractional order closed-loop systems. Two numerical examples are provided to illustrate the effectiveness of the proposed results.

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New results on finite‐time stability of fractional‐order Cohen–Grossberg neural networks with time delays

Asian Journal of Control ◽

10.1002/asjc.2641 ◽

2021 ◽

Author(s):

Feifei Du ◽

Jun‐Guo Lu

Keyword(s):

Neural Networks ◽

Fractional Order ◽

Finite Time ◽

Time Delays ◽

Time Stability ◽

Finite Time Stability

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Finite-time stability of linear stochastic fractional-order systems with time delay

Advances in Difference Equations ◽

10.1186/s13662-021-03500-y ◽

2021 ◽

Vol 2021 (1) ◽

Author(s):

Lassaad Mchiri ◽

Abdellatif Ben Makhlouf ◽

Dumitru Baleanu ◽

Mohamed Rhaima

Keyword(s):

Time Delay ◽

Fractional Order ◽

Finite Time ◽

Stochastic Analysis ◽

Fractional Order Systems ◽

Time Stability ◽

Finite Time Stability ◽

Analysis Techniques ◽

Generalized Gronwall Inequality ◽

Stability Of The Solution

AbstractThis paper focuses on the finite-time stability of linear stochastic fractional-order systems with time delay for $\alpha \in (\frac{1}{2},1)$ α ∈ ( 1 2 , 1 ) . Under the generalized Gronwall inequality and stochastic analysis techniques, the finite-time stability of the solution for linear stochastic fractional-order systems with time delay is investigated. We give two illustrative examples to show the interest of the main results.

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