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The control algorithm is derived using the Lyapunov function technique.
The sufficient condition for closed loop stability of the system is derived using the Lyapunov function.
The stability of the closed-loop system is proved using the Lyapunov function analysis method.
Therefore, we propose three kinds of synchronization schemes for Lorenz system using the Lyapunov function method.
A formal proof of the finite-time stability of the closed-loop system is derived using the Lyapunov function technique.
We also analyze the characteristics of the proposed filter, such as an H∞ performance criterion, using the Lyapunov function method.
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By using the Lyapunov functions and linearization methods, the global stability of the equilibria for the model is established.
By using the Lyapunov functions and linearization methods, we will establish a series of criteria to ensure the stability of the equilibria for model (4).
We use the Lyapunov function from these prior works to numerically verify local stability for our feedback map.
In contrast to most existing approaches that commonly use the Lyapunov function theory in order to prove the consensus problem, simple and effective mathematical methods are developed here for this purpose.
We use the Lyapunov function (V x,k)=gamma^{k} x^{T}Hx).
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