Mittag-Leffler Stability of Impulsive Nonlinear Fractional-Order Systems with Time Delays

K. Mathiyalagan; Yong-Ki Ma

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Mittag-Leffler Stability of Impulsive Nonlinear Fractional-Order Systems with Time Delays

机译：Mittag-Leffler Stability of Impulsive Nonlinear Fractional-Order Systems with Time Delays

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摘要

Stability analysis of impulsive nonlinear fractional-order system (FOS) is discussed. First, the existence and uniqueness of solutions for FOS is discussed with help of fixed point theory. The nonlinear system is considered with a constant time delay and impulsive effects. Then, novel sufficient conditions to prove the Mittag-Leffler stability (MLS) of FOS are established by using well known mathematical techniques. Also, the results are extended to present finite-time MLS conditions for considered nonlinear FOSs. Finally, examples are given to show the validity of the derived results.

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来源
《Iranian Journal of Science》 |2023年第1期|99-108|共10页
作者
K. Mathiyalagan; Yong-Ki Ma;
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作者单位

Department of Mathematics, Bharathiar University, Coimbatore 641 046, India,Department of Applied Mathematics, Kongju National University, Gongju-si, Chungcheongnam-do 32588, Republic of Korea;

Department of Applied Mathematics, Kongju National University, Gongju-si, Chungcheongnam-do 32588, Republic of Korea;

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正文语种英语
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Mittag-Leffler stability; Fractional-order systems; Impulsive systems; Time-delay;

Mittag-Leffler Stability of Impulsive Nonlinear Fractional-Order Systems with Time Delays

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