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New Result on Finite-Time Stability of Fractional-Order Nonlinear Delayed Systems

机译:分数阶非线性时滞系统有限时间稳定性的新结果

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摘要

Since Lyapunov method has not been well developed for fractional-order systems, stability of fractional-order nonlinear delayed systems remains a formidable problem. In this letter, finite-time stability of a class of fractional-order nonlinear delayed systems with order between 0 and 1 is addressed. By using the technique of inequalities, a new and simple delay-independent sufficient condition guaranteeing stability of fractional-order nonlinear delayed system over the finite time interval is obtained. Numerical examples are presented to demonstrate the validity and feasibility of the obtained results.
机译:由于对于分数阶系统,Lyapunov方法还没有得到很好的发展,分数阶非线性时滞系统的稳定性仍然是一个艰巨的问题。在这封信中,提出了一类分数阶非线性延迟系统的有限时间稳定性,该系统的阶数在0和1之间。利用不等式技术,得到了一个新的且简单的与时滞无关的充分条件,它保证了分数阶非线性时滞系统在有限时间间隔内的稳定性。数值算例说明了所得结果的有效性和可行性。

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