On the stability of fuzzy dynamical systems

M.S. Cecconello; R.C. Bassanezi; A.J.V. Brandao; J. Leite

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On the stability of fuzzy dynamical systems

机译：关于模糊动力学系统的稳定性

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摘要

In this work we study the asymptotic behavior of fuzzy solutions obtained by using Zadeh's extension at the deterministic solutions of initial value problems. We obtain some result regarding the existence of fuzzy equilibrium points that generalize the already known results. As show earlier, the membership function of the fuzzy equilibrium points may be obtained in a relatively simple way. Also, we study the projection of the fuzzy solution on the appropriate subspaces of the phase space. Several examples are given to illustrate the obtained results.

机译：在这项工作中，我们研究在初始值问题的确定性解中使用Zadeh的扩展获得的模糊解的渐近行为。我们获得了有关模糊平衡点存在的一些结果，这些结果概括了已知的结果。如先前所示，可以以相对简单的方式获得模糊平衡点的隶属函数。此外，我们研究了模糊解在相空间的适当子空间上的投影。给出几个例子来说明所获得的结果。

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来源
《Fuzzy sets and systems》 |2014年第1期|106-121|共16页
作者
M.S. Cecconello; R.C. Bassanezi; A.J.V. Brandao; J. Leite;
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作者单位

Federal University of Mato Grosso, Brazil;

Federal University of ABC, Brazil;

Federal University of Sao Carlos, Brazil;

Federal University of Piaui, Brazil;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Fuzzy sets; Equilibrium points; Dynamical systems;

机译：模糊集;平衡点;动力系统;

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专利

1. Stability and control of fuzzy dynamic systems via cell-state transitions in fuzzy hypercubes [J] . Hoon Kang IEEE Transactions on Fuzzy Systems . 1993,第4期

机译：模糊超立方体中细胞状态转换对动态系统的稳定性和控制
2. On the stability of fuzzy linear dynamical systems [J] . Najariyan Marzieh, Zhao Yi Journal of the Franklin Institute . 2020,第9期

机译：论模糊线性动力系统的稳定性
3. Stability of Fuzzy Dynamical Systems via Lyapunov Functions [J] . Abdelati El Allaoui, Said Melliani, Lalla Saadia Chadli Differential equations and nonlinear mechanics . 2020,第3期

机译：利普吞噬函数模糊动力系统的稳定性
4. Stability analysis and controller design for dynamic fuzzy systems based on a new fuzzy inference approach [C] . Schafers, E., Krebs, Fuzzy Systems, 1997., Proceedings of the Sixth IEEE International Conference on . 1997

机译：基于新的模糊推理方法的动态模糊系统稳定性分析与控制器设计
5. Simulation of Fuzzy Dynamic Systems with Multiple Fuzzy Parameters and Initial Conditions. [D] . Zhang, Taiming. 2012

机译：具有多个模糊参数和初始条件的模糊动态系统的仿真。
6. Capturing multi-stage fuzzy uncertainties in hybrid system dynamics and agent-based models for enhancing policy implementation in health systems research [O] . Shiyong Liu, Konstantinos P. Triantis, Li Zhao, -1

机译：在混合系统动力学和基于代理的模型中捕获多阶段模糊不确定性以增强卫生系统研究中的政策实施
7. Special Issue "Fuzzy/Neural Network Applications to Dynamics and Control of Mechanical Systems". Stability Analysis of Fuzzy Control System by 3D Space Display. [O] . Mikio MAEDA, Eiji FUKUMIYA 1992

机译：特别问题“模糊/神经网络应用于动态和控制机械系统”。 3D空间显示模糊控制系统的稳定性分析。

On the stability of fuzzy dynamical systems

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