Stabilization of Continuous-Time Fractional Positive T-S Fuzzy Systems by Using a Lyapunov Function.

The stability and stabilization problems for continuous-time fractional T-S fuzzy systems with the additional condition of nonnegativity of the states are solved. The obtained results are based on a direct Lyapunov function. In particular, the synthesis of state-feedback controllers is obtained by giving conditions in terms of linear programming. An illustrative example is provided to show the usefulness of the results. [ABSTRACT FROM AUTHOR]