Results 31 to 40 of about 83,867 (245)
Constructing the Lyapunov Function through Solving Positive Dimensional Polynomial System
Journal of Applied Mathematics, 2013 We propose an approach for constructing Lyapunov function in quadratic form of a differential system. First, positive polynomial system is obtained via the local property of the Lyapunov function as well as its derivative.
Zhenyi Ji +3 more
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The NMHSS Iterative Method for the Standard Lyapunov Equation
IEEE Access, 2019 Based on the previous research results, a new modified-Hermitian and skew-Hemitian splitting iteration method (NMHSS) is presented for solving the standard Lyapunov equation in this paper.
Hai-Long Shen, Shi-Yu Li, Xin-Hui Shao
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On the Existence of Unstable Bumps in Neural Networks
, 2013 We study the neuronal field equation, a nonlinear integro-differential equation of Hammerstein type. By means of the Amann three fixed point theorem we prove the existence of bump solutions to this equation.
Kostrykin, Vadim, Oleynik, Anna
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Noise-Resistant Discrete-Time Neural Dynamics for Computing Time-Dependent Lyapunov Equation
IEEE Access, 2018 Z-type neural dynamics, which is a powerful calculating tool, is widely used to compute various time-dependent problems. Most Z-type neural dynamics models are usually investigated in a noise-free situation.
Qiuhong Xiang +3 more
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, 2013 For discrete-time systems, governed by Kraus maps, the work of D. Petz has characterized the set of universal contraction metrics. In the present paper, we use this characterization to derive a set of quadratic Lyapunov functions for continuous-time ...
Rouchon, Pierre, Sarlette, Alain
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Competitive Lotka-Volterra Population Dynamics with Jumps [PDF]
, 2011 This paper considers competitive Lotka-Volterra population dynamics with jumps. The contributions of this paper are as follows. (a) We show stochastic differential equation (SDE) with jumps associated with the model has a unique global positive solution;
Applebaum +26 more
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A Robust Adaptive One‐Sample‐Ahead Preview Super‐Twisting Sliding Mode Controller
International Journal of Adaptive Control and Signal Processing, EarlyView.Block Diagram of the Robust Adaptive One‐Sample‐Ahead Preview Super‐Twisting Sliding Mode Controller. ABSTRACT This article introduces a discrete‐time robust adaptive one‐sample‐ahead preview super‐twisting sliding mode controller. A stability analysis of the controller by Lyapunov criteria is developed to demonstrate its robustness in handling both ...
Guilherme Vieira Hollweg +5 more
wiley +1 more source
Lyapunov functionals for the heat equation and sharp inequalities
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2013 The heat equation represents a powerful instrument to obtain a number of mathematical inequalities in sharp form. This may be not so well-known property goes back more or less to half a century ago, when independently from each others, researchers from ...
Giuseppe Toscani
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Lyapunov-type inequalities for a fractional p-Laplacian equation
Journal of Inequalities and Applications, 2016 In this paper, we present new Lyapunov-type inequalities for a fractional boundary value problem that models a turbulent flow in a porous medium. The obtained inequalities are used to obtain a lower bound for the eigenvalues of corresponding equations.
Nassir Al Arifi +4 more
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A novel noise-tolerant Zhang neural network for time-varying Lyapunov equation
Advances in Difference Equations, 2020 The Zhang neural network (ZNN) has become a benchmark solver for various time-varying problems solving. In this paper, leveraging a novel design formula, a noise-tolerant continuous-time ZNN (NTCTZNN) model is deliberately developed and analyzed for a ...
Min Sun, Jing Liu
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