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## Finite-time stability of switched systems with delayed arguments and nonlinear perturbations

#### Youliang FU [1] , Naxin CUİ [2] , Chenghui ZHANG [3] , Tongxing Lİ [4]

This paper is concerned with the problem of finite-time stability (FTS)  of a class of switched systems with delayed arguments and nonlinear perturbations which are related not only with the current state and the delayed state but also with time $t$. Novel Lyapunov--Krasovskii functions are introduced, and a new finite-time stability criterion is derived  by employing the average dwell time (ADT) approach and linear matrix inequality technique.  An example is given to illustrate the effectiveness of the proposed method.
Finite-time stability, Lyapunov–Krasovskii function, nonlinear perturbation, average dwell time
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Primary Language en Mathematics Mathematics Orcid: 0000-0003-4571-6830Author: Youliang FU Institution: Shandong UniversityCountry: China Orcid: 0000-0001-9118-2951Author: Naxin CUİ Institution: Shandong UniversityCountry: China Orcid: 0000-0003-2317-5930Author: Chenghui ZHANG Institution: Shandong UniversityCountry: China Orcid: 0000-0002-4039-9648Author: Tongxing Lİ (Primary Author)Institution: Linyi UniversityCountry: China Publication Date : February 6, 2020
 Bibtex @research article { hujms535212, journal = {Hacettepe Journal of Mathematics and Statistics}, issn = {2651-477X}, eissn = {2651-477X}, address = {}, publisher = {Hacettepe University}, year = {2020}, volume = {49}, pages = {162 - 169}, doi = {10.15672/HJMS.2019.669}, title = {Finite-time stability of switched systems with delayed arguments and nonlinear perturbations}, key = {cite}, author = {FU, Youliang and CUİ, Naxin and ZHANG, Chenghui and Lİ, Tongxing} } APA FU, Y , CUİ, N , ZHANG, C , Lİ, T . (2020). Finite-time stability of switched systems with delayed arguments and nonlinear perturbations. Hacettepe Journal of Mathematics and Statistics , 49 (1) , 162-169 . DOI: 10.15672/HJMS.2019.669 MLA FU, Y , CUİ, N , ZHANG, C , Lİ, T . "Finite-time stability of switched systems with delayed arguments and nonlinear perturbations". Hacettepe Journal of Mathematics and Statistics 49 (2020 ): 162-169 Chicago FU, Y , CUİ, N , ZHANG, C , Lİ, T . "Finite-time stability of switched systems with delayed arguments and nonlinear perturbations". Hacettepe Journal of Mathematics and Statistics 49 (2020 ): 162-169 RIS TY - JOUR T1 - Finite-time stability of switched systems with delayed arguments and nonlinear perturbations AU - Youliang FU , Naxin CUİ , Chenghui ZHANG , Tongxing Lİ Y1 - 2020 PY - 2020 N1 - doi: 10.15672/HJMS.2019.669 DO - 10.15672/HJMS.2019.669 T2 - Hacettepe Journal of Mathematics and Statistics JF - Journal JO - JOR SP - 162 EP - 169 VL - 49 IS - 1 SN - 2651-477X-2651-477X M3 - doi: 10.15672/HJMS.2019.669 UR - https://doi.org/10.15672/HJMS.2019.669 Y2 - 2018 ER - EndNote %0 Hacettepe Journal of Mathematics and Statistics Finite-time stability of switched systems with delayed arguments and nonlinear perturbations %A Youliang FU , Naxin CUİ , Chenghui ZHANG , Tongxing Lİ %T Finite-time stability of switched systems with delayed arguments and nonlinear perturbations %D 2020 %J Hacettepe Journal of Mathematics and Statistics %P 2651-477X-2651-477X %V 49 %N 1 %R doi: 10.15672/HJMS.2019.669 %U 10.15672/HJMS.2019.669 ISNAD FU, Youliang , CUİ, Naxin , ZHANG, Chenghui , Lİ, Tongxing . "Finite-time stability of switched systems with delayed arguments and nonlinear perturbations". Hacettepe Journal of Mathematics and Statistics 49 / 1 (February 2020): 162-169 . https://doi.org/10.15672/HJMS.2019.669 AMA FU Y , CUİ N , ZHANG C , Lİ T . Finite-time stability of switched systems with delayed arguments and nonlinear perturbations. Hacettepe Journal of Mathematics and Statistics. 2020; 49(1): 162-169. Vancouver FU Y , CUİ N , ZHANG C , Lİ T . Finite-time stability of switched systems with delayed arguments and nonlinear perturbations. Hacettepe Journal of Mathematics and Statistics. 2020; 49(1): 169-162.

Authors of the Article
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