On the Stability of Positive Difference Equations

机译：关于正差分方程的稳定性

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In this chapter, we are interested with stability of linear continuous-time difference equations. These equations involve delays, which can be non commensurable. Spectrum analysis comes down to the zeros analysis of an exponential polynomial. From previous results on stability dependent or independent of delays, we focus on the particular case of positive difference equations. It is proved that the stability of linear difference equations with positive coefficients is robust with respect to variations of the delays, and are given exponential bounds for the solution.

机译：在本章中，我们对线性连续时间差分方程的稳定性感兴趣。这些等式涉及延迟，这是不可估量的。频谱分析可归结为指数多项式的零点分析。根据先前关于依赖于稳定性或不依赖于延迟的稳定性的结果，我们将重点放在正差分方程的特殊情况上。证明了具有正系数的线性差分方程的稳定性对于时延的变化具有鲁棒性，并且给出了求解的指数界。

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来源
《Time delay systems: methods, applications and new trends》|2010年|p.19-33|共15页
会议地点 Prague(CZ);Sinaia(RO)
作者
Michael Di Loreto; Jean Jacques Loiseau;
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作者单位

AMPERE, UMR CNRS 5005, INSA-Lyon, Avenue Jean Capelle, 69621 Villeurbanne cedex, France;

Institut de Recherche en Communications et Cyberntique de Nantes (IRCCyN), UMR CNRS 6597, Ecole Centrale de Nantes, BP 92101, 44321 Nantes cedex 03, France;

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正文语种 eng
中图分类时间与频率计量;
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3. 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

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4. Positive trigonometric polynomials for strong stability of difference equations [C] . Didier Henrion, Tomas Vyhlidal IFAC World Congress . 2011

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5. Positive solutions of boundary value problems for nonlinear difference equations [D] . Lauer, Susan Denese Stenger 1997

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6. Stability Boundedness and Lagrange Stability of Fractional Differential Equations with Initial Time Difference [O] . Muhammed Çiçek, Coşkun Yakar, Bülent Oğur -1

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7. Uniform Asymptotic Stability and Robust Stability for Positive Linear Volterra Difference Equations in Banach Lattices [O] . Satoru Murakami, Yutaka Nagabuchi 2009

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8. Liapunov Functions from Auxiliary Exact Difference Equations for Nonlinear Difference Equation Stability Analysis [R] . Kinnen, E., Park, K. E. 1970

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On the Stability of Positive Difference Equations

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