Finite-Time Synchronization of Lotka-Volterra Systems

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Document Type : Original Article

Author

Faculty of Electrical engineering, Shahid Beheshti University, Tehran, Iran

Abstract

This paper introduces a novel method for achieving finite-time synchronization of n-dimensional Lotka-Volterra (LV) systems. Unlike traditional approaches that rely on the state difference error, the proposed method employs the ratio of the states of the master and slave systems. This enables the design of a non-singular control law by leveraging finite-time stability theorems. The finite-time convergence of the state ratio between the master and slave systems to unity is established using a newly defined Lyapunov function, while the non-singularity of the control law is demonstrated through logarithmic inequalities. The effectiveness of the proposed approach is validated through the synchronization of two chaotic LV systems. The successful synchronization within a finite time using bounded and continuous control laws highlights the effectiveness of the proposed method.

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Tabriz Journal of Electrical Engineering

Articles in Press, Corrected Proof
Available Online from 07 July 2026

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