نتایج جستجو برای: square solution

تعداد نتایج: 586841  

2011
Yunquan Ke Chunfang Miao

Abstract: In this paper, the mean square exponential stability of the periodic solution for stochastic reactiondiffusion high-order Cohen-Grossberg-Type BAM neural networks with time delays is investigated. By constructing suitable Lyapunov function, applying Itô formula and Poincaré mapping, we give some sufficient conditions to guarantee the mean square exponential stability of the periodic s...

2012
Chunfang Miao Yunquan Ke

Abstract: In this paper, the mean square exponential stability of the periodic solution of stochastic CohenGrossberg-Type BAM neural networks with delays are investigated. By constructing suitable Lyapunov function, applying Itô formula, integral mean-value theorem and Poincaré mapping, we give several sufficient conditions to guarantee the mean square exponential stability of the periodic solu...

2017
Ling Zhang

The main purpose of this paper is to investigate the strong convergence and exponential stability in mean square of the exponential Euler method to semi-linear stochastic delay differential equations (SLSDDEs). It is proved that the exponential Euler approximation solution converges to the analytic solution with the strong order [Formula: see text] to SLSDDEs. On the one hand, the classical sta...

2016
Yu Zhang Longsuo Li

*Correspondence: [email protected] Department of Mathematics, Harbin Institute of Technology, Harbin, 150001, China Abstract As a particular expression of stochastic delay differential equations, stochastic pantograph differential equations have been widely used in nonlinear dynamics, quantum mechanics, and electrodynamics. In this paper, we mainly study the stability of analytical solution...

Journal: :SIAM J. Control and Optimization 2018
Jianying Zheng Li Qiu

In this paper, we investigate a mean-square stabilizing solution to a modified algebraic Riccati equation (MARE), which arises in our previous work on the linear quadratic optimal control for linear time-invariant discrete systems with random input gains. An explicit necessary and sufficient condition ensuring the existence of a mean-square stabilizing solution is given directly in terms of the...

2013
P. ROCHA

Abstract. Consider a set of square real matrices of the same size A = {A1, A2, . . . , AN}, where each matrix is partitioned, in the same way, into blocks such that the diagonal ones are square matrices. Under the assumption that the diagonal blocks in the same position have a common Lyapunov solution, sufficient conditions for the existence of a common Lyapunov solution with block diagonal str...

Journal: :SIAM J. Scientific Computing 2001
Bernard Bialecki Andreas Karageorghis

A Legendre spectral Galerkin method is presented for the solution of the biharmonic Dirichlet problem on a square. The solution and its Laplacian are approximated using the set of basis functions suggested by Shen, which are linear combinations of two Legendre polynomials. A Schur complement approach is used to reduce the resulting linear system to one involving the approximation of the Laplaci...

Journal: :Journal of the Japan society of photogrammetry and remote sensing 2015

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