LMI-based robust stability and stabilization analysis of fractional-order interval systems with time-varying delay

Abstract

This paper investigates the robust stability and stabilization analysis of interval fractional-order systems with time-varying delay. The stability problem of such systems is solved first, and then using the proposed results, a stabilization theorem is also included, where sufficient conditions are obtained for designing a stabilizing controller with a predetermined order, which can be chosen to be as low as possible. Utilizing efficient lemmas, the stability and stabilization theorems are proposed in LMI form, which is more suitable to check due to various existing efficient convex optimization parsers and solvers. Finally, some numerical examples have shown the effectiveness of our results.