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.

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