Abstract

In this paper, we study the stability of fractional-order systems with distributed delays under Riemann-Liouville derivatives. First, the sufficient condition for stability of fractional-order system with distributed delays is presented by applying continuous frequency distributed equivalent model with indirect Lyapunov approach and combining Lyapunov-Krasovskii functionals with Jensen inequality. Next, using linear matrix inequality(LMI)techniques, the method of designing a state feedback controller is derived. Finally, the validity of the proposed methods is demonstrated by numerical examples.

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