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Stability and Time-Step Constraints of Exponential Time Differencing Runge--Kutta Discontinuous Galerkin Methods for Advection-Diffusion Equations [PDF]
Ziyao Xu, Zheng Sun, Yong‐Tao Zhang
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Spectral Test for the Exponential Stability
Mathematical Notes, 2021In this paper, the authors first consider an nth-order linear differential equation with constant coefficients in the complex Banach algebra B. Next, they also consider a linear system of ordinary differential equations with constant coefficients. Using the theory of commutative Banach algebras, an estimate of the solution with regard to the nth-order ...
Ирина Дмитриевна Коструб +3 more
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IEEE Transactions on Automatic Control, 2021
In this article, for Itô stochastic systems with aperiodic sampling and multiple time-delays, we provide two different types of mean square exponential stability analysis methods.
Guoliang Chen +3 more
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In this article, for Itô stochastic systems with aperiodic sampling and multiple time-delays, we provide two different types of mean square exponential stability analysis methods.
Guoliang Chen +3 more
semanticscholar +1 more source
IEEE Transactions on Cybernetics, 2020
This paper investigates exponential stability of fractional-order impulsive control systems (FICSs) and exponential synchronization of fractional-order Cohen–Grossberg neural networks (FCGNNs).
Shuai Yang +3 more
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This paper investigates exponential stability of fractional-order impulsive control systems (FICSs) and exponential synchronization of fractional-order Cohen–Grossberg neural networks (FCGNNs).
Shuai Yang +3 more
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Exponential Stability of Delayed Systems with Average-Delay Impulses
SIAM Journal of Control and Optimization, 2020In the paper, we investigate the exponential stability of nonlinear delayed systems with destabilizing and stabilizing delayed impulses, respectively.
Bangxin Jiang, Jianquan Lu, Yang Liu
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Lagrange Exponential Stability of Complex-Valued BAM Neural Networks With Time-Varying Delays
IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2020This paper is concerned with the Lagrange exponential stability problem of complex-valued bidirectional associative memory neural networks with time-varying delays.
Ziye Zhang +3 more
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Lagrange exponential stability of quaternion‐valued memristive neural networks with time delays
Mathematical methods in the applied sciences, 2020This paper investigates the Lagrange global exponential stability of the quaternion‐valued memristive neural networks (QVMNNs). Two kinds of activation functions based on different assumptions are considered. Then, based on the Lyapunov function approach,
Ruoyu Wei, Jinde Cao, Chuangxia Huang
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Stability for Multivariate Exponential Families
Journal of Mathematical Sciences, 2001Let \(E\) be a Euclidean space, let \(Z :\Omega\to E\) be a nondegenerate random vector, and suppose there is an open convex set \(D\subset E\) such that \(P(Z\in \overline{D}) = 1\). If \(\mu\) is the distribution of \(Z\), define measures \(\mu_\lambda\) by \(d\mu_\lambda(x) = e^{\lambda x}d\mu(x)\), \(x\in E\), for any \(\lambda\) in the dual space \
Balkema, A. A. +2 more
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