Stability analysis of fractional order neutral‑type systems considering time varying delays, nonlinear perturbations, and input saturation
Abstract
This article investigates the robust stability of fractional order neutral‑type systems involving nonlinear perturbations and time varying delays in the presence of input saturation. Design criteria, expressed in terms of linear matrix inequalities, are derived with the aid of the Lyapunov Krasovskii functional for the state feedback controller. Based on the cone complementarity linearization method, an optimization problem is also formulated for finding the controller gains subject to maximizing the domain of attraction. The main results are confirmed by numerical simulations.
- Publication:
-
Mathematical Methods in the Applied Sciences
- Pub Date:
- November 2020
- DOI:
- 10.1002/mma.6701
- Bibcode:
- 2020MMAS...4310332A