Finite-time contractive stabilization for fractional-order switched systems via event-triggered impulse control
Gokul P. Kashkynbayev A. Prakash M. Rajan R.
April 2025Elsevier B.V.
Communications in Nonlinear Science and Numerical Simulation
2025#143
This article investigates the issue of finite-time stabilization for fractional-order switched nonlinear system (FOSNS) under the novel framework of mode-dependent event-triggered mechanism (MDETM). Initially, this study effectively addresses Zeno behavior (ZB) avoidance in FOSNS by the MDETM approach. This mechanism operates through the strategy of event-triggered impulsive control (ETIC) and the constraint of mode-specific average dwell time. Following this, we establish finite-time stability (FTS) and finite-time contractive stability (FTCS) for general FOSNS by employing the Lyapunov-based methodology. This approach is employed to analyze situations where the fractional derivatives of Lyapunov functions (LFs) of the modes are indefinite. Furthermore, the criteria of ZB, FTS, and FTCS are validated for application of FOSNS that adheres to the same framework as proposed for general FOSNS. The utilization of linear matrix inequality (LMI) was employed to derive the control gain matrix, ensuring the preservation of the stability property. To conclude, the efficacy of the introduced ETIC strategies is demonstrated through the analysis of two illustrative examples.
Event-triggered impulse control , Finite-time contractive stability , Finite-time stability , Fractional-order switched system
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Department of Mathematics, Bharathiar University, Tamil Nadu, Coimbatore, 641 046, India
Department of Mathematics, Nazarbayev University, Nur-Sultan city, Kazakhstan
Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Tamil Nadu, Vellore, India
Department of Mathematics
Department of Mathematics
Department of Mathematics
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