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.
New Result on Finite-Time Stability of Fractional-Order Nonlinear Delayed Systems
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received November 18, 2014; final manuscript received February 4, 2015; published online June 9, 2015. Assoc. Editor: J. A. Tenreiro Machado.
- Views Icon Views
- Share Icon Share
- Cite Icon Cite
- Search Site
Chen, L., Pan, W., Wu, R., and He, Y. (November 1, 2015). "New Result on Finite-Time Stability of Fractional-Order Nonlinear Delayed Systems." ASME. J. Comput. Nonlinear Dynam. November 2015; 10(6): 064504. https://doi.org/10.1115/1.4029784
Download citation file:
- Ris (Zotero)
- Reference Manager