Discontinuity, Nonlinearity, and Complexity
Asymptotic Stability of Caputo Fractional Singular Differential Systems with Multiple Delays
Discontinuity, Nonlinearity, and Complexity 7(3) (2018) 243251  DOI:10.5890/DNC.2018.09.003
Sivaraj Priyadharsini$^{1}$, Venkatesan Govindaraj$^{2}$
$^{1}$ Department of Mathematics, Sri Krishna Arts and Science College, Coimbatore641 008, India
$^{2}$ Department of Science and Humanities, National Institute of Technology Puducherry, Karaikal609 609, India
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Abstract
In this work, Lyapunov functions combining Matrix inequalities or Matrix equations are developed to analyze the asymptotic stability of Caputo fractional singular systems with multiple timevarying delay. Integerorder derivatives of the Lyapunov functions are used to derive asymptotic stability criteria. The main advantage of applying stability criteria is that no need of solving roots of transcendental equations. Some examples are provided to explain the effectiveness of the proposed criteria.
Acknowledgments
The authors wish to thank the anonymous referees for their very careful reading of the manuscript and fruitful comments and suggestions.
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