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1. Stability analysis for impulsive fractional hybrid systems via variational Lyapunov method.

Author

Yang, Ying, He, Yong, Wang, Yong, and Wu, Min

Subjects
*STABILITY theory, *LYAPUNOV functions, *CAPUTO fractional derivatives, *MOMENTS method (Statistics), *FRACTIONAL calculus
Abstract

This paper investigates the stability properties for a class of impulsive Caputo fractional-order hybrid systems with impulse effects at fixed moments. By utilizing the variational Lyapunov method, a fractional variational comparison principle is established. Some stability and instability criteria in terms of two measures are obtained. These results generalize the known ones, extending the corresponding theory of impulsive fractional differential systems. An example is given to demonstrate their effectiveness. [ABSTRACT FROM AUTHOR]

Published
2017
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