Modeling and stability analysis of HIV-1 as a time delay fuzzy T-S system via LMIs

This paper proposes a time delay fuzzy Takagi-Sugeno (T-S) representation of a nonlinear dynamic model of HIV-1 as well as stability analysis of the model. Asymptotic stability of the resulting T-S fuzzy system with state-delay is investigated and partially established. The focus is mainly on the delay-dependent stability analysis based on the fuzzy weighting-dependent Lyapunov function method.