具有摄动的非线性差分系统的渐近静态位置

2015 International Conference "Stability and Control Processes" in Memory of V.I. Zubov (SCP) Pub Date : 2015-12-03 DOI:10.1109/SCP.2015.7342041

S. Y. Kuptsov, S. Kuptsova, Uliana P. Zaranik

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引用次数: 2

摘要

本文研究了非线性差分方程组解的定性性质。特别地，我们分析了一类扰动下系统解的渐近行为。利用李雅普诺夫函数的方法，给出了摄动系统具有渐近静态位置的保证条件。

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On asymptotic quiescent position of nonlinear difference systems with perturbations

In this paper, we study qualitative properties of solutions of nonlinear systems of difference equations. In particular, we analyze asymptotic behavior of solutions of the systems under perturbations of a certain type. Using methods of Lyapunov functions, we present conditions guaranteeing that the perturbed system has an asymptotic quiescent position.

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2015 International Conference "Stability and Control Processes" in Memory of V.I. Zubov (SCP)

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