Results 1 to 10 of about 5,598 (159)

Further results on Mittag-Leffler synchronization of fractional-order coupled neural networks

Advances in Difference Equations, 2021
In this paper, we focus on the synchronization of fractional-order coupled neural networks (FCNNs). First, by taking information on activation functions into account, we construct a convex Lur’e–Postnikov Lyapunov function.
Fengxian Wang, Fang Wang, Xinge Liu
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New Conditions of Analysis and Synthesis for Periodic Piecewise Linear Systems With Matrix Polynomial Approach

IEEE Access, 2020
In this paper, new conditions of the stability, stabilization and L2-gain performance of periodic piecewise systems are proposed. Both the continuous and discontinuous Lyapunov functions with dwell-time related time-varying Lyapunov matrix polynomial are
Panshuo Li, Mali Xing, Yun Liu, Bin Zhang   +3 more
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Membership‐function‐dependent approach to design filter for non‐linear systems with time‐varying delay via interval type‐2 fuzzy model

IET Control Theory & Applications, 2021
This paper addresses the problem of H∞ filtering for non‐linear systems with time‐varying delay via the interval type‐2 (IT2) fuzzy model and the membership‐function‐dependent approach.
Guangtao Ran, Chuanjiang Li
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Bifurcation and chaos behaviors of Lyapunov function controlled PWM boost converter

Energy Reports, 2021
In this paper, we have derived the mathematical model of the Lyapunov function-based boost converter, which is essentially a voltage and current double-loop controller, and studied the stability of the closed-loop modulation system.
Xinbing Chen, Xiaoli Long, Wei Hu, Binsheng Xie   +3 more
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Estimation of the Domain of Attraction of Free Tumor Equilibrium Point for Perturbed Tumor Immunotherapy Model [PDF]

AUT Journal of Electrical Engineering, 2018
In this paper, we are going to estimate the domain of attraction of tumor-free equilibrium points in a perturbed cancer tumor model describing the tumor-immune system competition dynamics.
A. Dini, M.J. Yazdanpanah
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Computing the Lyapunov operator φ-functions, with an application to matrix-valued exponential integrators

Applied Numerical Mathematics, 2022
In this paper, we develop efficient and accurate evaluation for the Lyapunov operator function $φ_l(\mathcal{L}_A)[Q],$ where $φ_l(\cdot)$ is the function related to the exponential, $\mathcal{L}_A$ is a Lyapunov operator and $Q$ is a symmetric and full-rank matrix.
Dongping Li, Yue Zhang, Xiuying Zhang
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On the Stability of Solutions of Neutral Differential Equations with Distributed Delay [PDF]

Известия Иркутского государственного университета: Серия "Математика", 2018
We consider one class of systems of linear nonautonomous differential equations of neutral type with distributed delay. The matrix in front of the derivative of the unknown vector-function with delay is constant, the matrix in front of the unknown vector-
T. K. Yskak
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Asymptotic and Robust Stabilization Control for the Whole Class of Fractional-Order Gene Regulation Networks with Time Delays

Fractal and Fractional, 2022
Throughout this article, a novel control strategy for fractional-order gene regulation networks (FOGRN) of all categories is designed by using the vector Lyapunov function in combination with the M-matrix measure. Firstly, a series of puzzles surrounding
Zitong Li, Zhe Zhang, Qiong Liao, Mingqiang Rong   +3 more
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Construction of Hierarchical Matrix Lyapunov Functions

Journal of Mathematical Analysis and Applications, 1994
Consider the differential system (*) \(dx/dt =f(t,x)\) having \(x=0\) as unique stationary solution. Assume that there exists a decomposition of (*) in the form \[ dx_1/dt =f_1(t, x_1) +h_1(t,x_1, x_2),\;dx_2/dt= f_2(t,x_2) +h_2(t,x_1,x_2). \tag{**} \] Furthermore, assume there exists a decomposition of the systems \(dx_k/dt= f_k(t,x_k)\), \(k=1,2 ...
Martynyuk, A.A., Miladzhanov, V.G., Begmuratov, K.A.   +2 more
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Lyapunov matrices approach to the parametric optimization of a neutral system

Archives of Control Sciences, 2016
In the paper a Lyapunov matrices approach to the parametric optimization problem of a neutral system with a P-controller is presented. The value of integral quadratic performance index of quality is equal to the value of Lyapunov functional for the ...
Duda Jozef
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