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AIMS Mathematics

2021, Volume 6, Issue 3: 2454-2467. doi: 10.3934/math.2021149
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Relaxed stability conditions for linear systems with time-varying delays via some novel approaches

  • 1.
    School of Electrical Engineering, Chungbuk National University, Cheongju 28644, Republic of Korea
  • 2.
    Center for Global Converging Humanities, Kyung Hee University, Yongin 17104, Republic of Korea
  • Received: 30 October 2020 Accepted: 13 December 2020 Published: 21 December 2020

  • MSC : 34D20, 34K20, 34K25

  • In this paper, the stability problem with considering time-varying delays of linear systems is investigated. By constructing new augmented Lyapunov-Krasovskii (L-K) functionals based on auxiliary function-based integral inequality (AFBI) and considering Finsler's lemma, a stability criterion is derived. Based on the previous result, a less conservative result is proposed through the augmented zero equality approach. Finally, numerical examples are given to show the effect of the proposed criteria.

    Citation: Seunghoon Lee, Youngjae Kim, Yonggwon Lee, Myeongjin Park, Ohmin Kwon. Relaxed stability conditions for linear systems with time-varying delays via some novel approaches[J]. AIMS Mathematics, 2021, 6(3): 2454-2467. doi: 10.3934/math.2021149

    Related Papers:

  • In this paper, the stability problem with considering time-varying delays of linear systems is investigated. By constructing new augmented Lyapunov-Krasovskii (L-K) functionals based on auxiliary function-based integral inequality (AFBI) and considering Finsler's lemma, a stability criterion is derived. Based on the previous result, a less conservative result is proposed through the augmented zero equality approach. Finally, numerical examples are given to show the effect of the proposed criteria.


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