This study examines finite-time synchronization for a class of N-coupled complex partial differential systems (PDSs) with time-varying delay. The problem of finite-time synchronization for coupled drive-response PDSs with timevarying delay is similarly considered. The synchronization error dynamic of the PDSs is defined in the q-dimensional spatial domain. We construct a feedback controller to achieve finite-time synchronization. Sufficient conditions are derived by using the Lyapunov-Krasoviskii stability approach and inequalities technology to ensure that the proposed networks achieve synchronization in finite time. The proposed systems demonstrate extensive application. Finally, an example is used to verify the theoretical results.
With Poincare's inequality and auxiliary function applied in a class of retarded cellular neural networks with reaction-diffusion, the conditions of the systems' W 1,2 (Ω )-exponential and X 1,2 (Ω )-asmptotic stability are obtained. The stability conditions containing diffusion term are different from those obtained in the previous papers in their exponential stability conditions. One example is given to illustrate the feasibility of this method in the end. cellular neural networks, reaction-diffusion, W
This paper is concerned with the exponential synchronization for a class of -coupled complex partial differential systems (PDSs) with time-varying delay. The synchronization error dynamic of the PDSs is defined in the -dimensional spatial domain. To achieve synchronization, we added a linear feedback controller. A sufficient condition is derived to ensure the exponential synchronization of the proposed networks using the Lyapunov-Krasovskii stability approach and matrix inequality technology. The proposed system has broad applications. Two example applications are presented in the final section of this paper to verify the proposed theoretical result.
A class of time-varying delay distributed parameter systems with input saturation is investigated in this paper. The periodic intermittent control method is adopted to make the system stable in finite time, improve the control performance of the system, and save on control cost. A periodic intermittent controller combined saturated input is designed to ensure the stability of the proposed system in finite time. Lyapunov-Krasoviskii stability theory and matrix inequality techniques are used to analyze the finite-time stability of the system, and sufficient conditions for the system to be stable in finite time are obtained. Finally, the correctness of the theorems is verified by simulation experiments.
A class of time-varying delay distributed parameter systems with input
saturation is investigated in this paper. The periodic intermittent
control method is adopted to make the system stable in finite time,
improve the control performance of the system, and save on control cost.
A periodic intermittent controller combined saturated input is designed
to ensure the stability of the proposed system in finite time.
Lyapunov–Krasoviskii stability theory and Matrix inequality techniques
are used to analyze the finite-time stability of the system, and
sufficient conditions for the system to be stable in finite time are
obtained. Finally, the correctness of the theorems is verified by
simulation experiments.
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