Stabilization of continuous-time fractional positive systems with delays

Abstract

The stabilization problem for continuous-time fractional linear systems with multiple delays together with the additional condition of non negativity of the states is solved. The obtained results are based on a direct Lyapunov-Krasovskii function. In particular, the synthesis of state-feedback controllers is obtained by giving conditions in terms of Linear Programs. Illustrative example is provided to show the usefulness of the results.