Sonbol Assem H, Fadali M Sami
Electrical Engineering Department, University of Nevada, Reno, NV 89512, USA.
IEEE Trans Syst Man Cybern B Cybern. 2006 Feb;36(1):2-12. doi: 10.1109/tsmcb.2005.852472.
We propose a new approach for the stability analysis of continuous Sugeno Types II and III dynamic fuzzy systems. We introduce the concept of fuzzy positive definite and fuzzy negative definite systems and use them in arguments similar to those of traditional Lyapunov stability theory to derive new conditions for stability and asymptotic stability for continuous Type II/III dynamic fuzzy systems. To demonstrate the new approach, we apply it to numerical examples.
我们提出了一种用于连续II型和III型Sugeno动态模糊系统稳定性分析的新方法。我们引入了模糊正定和模糊负定系统的概念，并将它们用于与传统李雅普诺夫稳定性理论类似的论证中，以推导连续II型/III型动态模糊系统稳定性和渐近稳定性的新条件。为了演示这种新方法，我们将其应用于数值示例。
