New finite-time stability for fractional-order time-varying time-delay linear systems: A Lyapunov approach |
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| Institution: | 1. Department of Mathematics, The Gandhigram Rural Institute (Deemed to be University), Gandhigram, Tamil Nadu 624 302, India;2. School of IT Information and Control Engineering, Kunsan National University, 558, Daehak-ro, Gunsan-si, Jeollabuk-do 54150, Republic of Korea;1. Department of Mathematics, Bharathiar University, Coimbatore 641 046, Tamil Nadu, India;2. Department of Mathematical Sciences, College of Science, UAE University, Al-Ain, United Arab Emirates;3. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632 014, Tamil Nadu, India;4. Dipartimento di Scienze Matematiche, Politecnico di Torino, Corso Duca degli Abruzzi, 24, Torino, 10129, Italy |
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| Abstract: | The primary goal of this paper is to examine the finite-time stability and finite-time contractive stability of the linear systems in fractional domain with time-varying delays. We develop some sufficient criteria for finite-time contractive stability and finite-time stability utilizing fractional-order Lyapunov-Razumikhin technique. To validate the proposed conditions, two different types of dynamical systems are taken into account, one is general time-delay fractional-order system and another one is fractional-order linear time-varying time-delay system, furthermore the efficacy of the stability conditions is demonstrated numerically. |
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