LMI-based stability analysis of fractional order systems of neutral type with time varying delays under actuator saturation. (English) Zbl 1476.34110
Summary: This article addresses the stability of uncertain fractional order systems of neutral type under actuator saturation. Some criteria regarding the asymptotic robust stability of such type of systems are constructed with the help of the Lyapunov-Krasovskii functional. Moreover, a state-feedback control law is formulated by means of linear matrix inequalities. In order to analyze the domain of attraction, an algorithm for determining the controller gain is provided via the cone complementarity linearization method. The main results are illustrated via numerical examples.
MSC:
| 34D05 | Asymptotic properties of solutions to ordinary differential equations |
| 26A33 | Fractional derivatives and integrals |
| 15A39 | Linear inequalities of matrices |
Keywords:
fractional calculus; fractional order system; stability; neutral delay; actuator saturation; linear matrix inequalityReferences:
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