Positivity and stability analysis for linear implicit difference delay equations

Sau Nguyen H.; Niamsup P.; Phat Vu N.

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Positivity and stability analysis for linear implicit difference delay equations

机译：线性隐式差分时滞方程的正性和稳定性分析

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This paper deals with positivity and stability of linear implicit difference delay equations. Being different from the Lyapunov function approach commonly used in stability analysis, the method employed in this paper gives a way to solve the exponential stability of linear implicit difference equations with time-varying delay. By decomposition state-space and mathematical induction method, new necessary and sufficient conditions for positivity and stability of such systems are derived. Numerical examples are given to illustrate the proposed results. (C) 2016 Elsevier Inc. All rights reserved.

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《Linear Algebra and its Applications》 |2016年第null期|共17页
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Sau Nguyen H.; Niamsup P.; Phat Vu N.;
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正文语种 eng
中图分类线性代数;
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Implicit systems; Stability; Positivity; Difference equations; Time-varying delay;

机译：隐式系统稳定性正性差分方程时变时滞;

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专利

1. Positivity and stability analysis for linear implicit difference delay equations [J] . Sau Nguyen H., Niamsup P., Phat Vu N. Linear Algebra and its Applications . 2016,第Null期

机译：线性隐式差分时滞方程的正性和稳定性分析
2. Stability of the positive steady-state solutions of systems of nonlinear Volterra difference equations of population models with diffusion and infinite delay [J] . B.Shi International journal of mathematics and mathematical sciences . 2000,第4期

机译：具扩散和无限时滞的种群模型的非线性Volterra差分方程组的正稳态解的稳定性
3. Internally Positive Representations and Stability Analysis of Linear Difference Systems with Multiple Delays [J] . Vittorio De Iuliis, Alfredo Germani, Costanzo Manes IFAC PapersOnLine . 2017,第1期

机译：具有多个时滞的线性差分系统的内部正表示和稳定性分析
4. The stability analysis of differential-difference equations with linearly increasing time delay using MATLAB [C] . Medennikov Ivan P. 2014 International Conference on Computer Technologies in Physical and Engineering Applications . 2014

机译：线性增加时滞的微分方程的稳定性分析
5. Stability and convergence results for difference approximations of overdetermined differential-algebraic equations with application to implicit integration of constrained mechanical system dynamics. [D] . Lee, Ming-Gong. 1992

机译：超定微分代数方程差分逼近的稳定性和收敛性结果在约束机械系统动力学的隐式积分中的应用。
6. Convergence and stability of the exponential Euler method for semi-linear stochastic delay differential equations [O] . Ling Zhang -1

机译：半线性随机时滞微分方程指数Euler方法的收敛性和稳定性
7. Stability of the positive steady-state solutions of systems of nonlinear Volterra difference equations of population models with diffusion and infinite delay [O] . B. Shi 2000

机译：具扩散和无穷时滞的种群模型非线性Volterra差分方程组正稳态解的稳定性
8. Liapunov Functions from Auxiliary Exact Difference Equations for Nonlinear Difference Equation Stability Analysis [R] . Kinnen, E., Park, K. E. 1970

机译：非线性差分方程稳定性分析的辅助精确差分方程的Liapunov函数

Positivity and stability analysis for linear implicit difference delay equations

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