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Stability Criteria for Nonlinear-Truncated V-Fractional-Order Derivative Systems with Applications to Synchronization
Wengui Yang1,2
1School of Education and Humanities, Sanmenxia Polytechnic, Sanmenxia 472000, China.
Abstract:
This paper investigates the stability of nonlinear systems with truncated V-fractional-order derivatives. Initially, based on the fundamental properties of V-fractional calculus, the Bellman-Gronwall inequality for V-fractional α-differentiable functions is derived. Subsequently, several sufficient conditions for the stability of the considered systems are established via the Lyapunov direct method. For practical applications, multiple synchronization criteria for drive-response systems are further deduced by leveraging the aforementioned stability results. Finally, numerical examples are presented to verify the effectiveness and feasibility of the main theoretical findings.
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