Stabilization of Positive 2D Fractional-Order Continuous-Time Systems with Delays

This paper is concerned with the stability and the stabilization problems for a class of 2D fractional-order positive linear systems with and without delays. The obtained results are based on Lyapunov–Krasovskii function. Asymptotic stability and stabilization criteria are then derived. The synthesis of the state controller is obtained by giving conditions in terms of linear programs. A discretization method is established for the 2D fractional-order continuous-time system with delays in order to facilitate the simulation of the acquired results. The accuracy, efficiency and convergence of the obtained results are shown through numerical examples.

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