A. A. Shestakov, О. N. Masina, О. V. Druzhinina
The work is devoted to research of asymptotic stability of controlled nonlinear systems, which are generalizations of Takagi-Sugeno systems on a case of delay. Global asymptotic stability of conditions of equilibrium states on the basis Lyapunov functions is studied. Stabilizing feedback is constructed. Takagi-Sugeno systems with delay are described by fuzzy rules of type IF…THEN and based on using of fuzzy controllers. Modification of system Takagi-Sugeno with delay on a case of matrixes with uncertainties is considered. Stability conditions of equilibrium states of the specified systems are obtained by the aid of Lyapunov-Krasovsky functionals. The obtained results can be used for working out approaches to designing and to improvement of technical control system.