Abstract

This paper is concerned with the design of robust state-feedback controllers for uncertain positive Takagi---Sugeno systems with time-delay. The $$\alpha $$?-stabilization by static state-feedback controllers with memory is investigated, taking into account the positivity and the interval uncertainties of the delayed closed-loop system into account. For this, new sufficient $$\alpha $$?-stabilization conditions are established in terms of LMIs. An example illustrates of the proposed approach.

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