
In this paper, we present an investigation into the stability of equilibrium points and synchronization within a finite time frame for fractional-order Lengyel–Epstein reaction-diffusion systems. Initially, we utilize Lyapunov theory and multiple criteria to examine the finite-time stability of equilibrium points. Following this analysis, we design efficient, interdependent linear controllers. By applying a Lyapunov function, we define new adequate conditions to ensure finite-time synchronization within a specified time interval. Finally, we provide two illustrative examples to demonstrate the effectiveness and practicality of our proposed method and validate the theoretical outcomes.
linear controllers, finite-time synchronization, Lyapunov theory, Electronic computers. Computer science, finite-time stability, finite time frame, QA75.5-76.95, Lengyel–Epstein reaction-diffusion systems
linear controllers, finite-time synchronization, Lyapunov theory, Electronic computers. Computer science, finite-time stability, finite time frame, QA75.5-76.95, Lengyel–Epstein reaction-diffusion systems
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