Xian Zhang

TL;DR: D-stability criteria are proposed to ensure that all the poles of the descriptor T-S fuzzy system are located within a disk contained in the unit circle, and a sufficient condition is presented such that the closed-loop system is regular, causal, and D-stable, in spite of parameter uncertainties and multiple state delays.

TL;DR: The Brouwer's fixed point theorem is employed to obtain sufficient conditions such that the kind of GRNs under consideration here has at least one nonnegative equilibrium point which is globally asymptotically stable.

TL;DR: A delay-range-dependent and delay-rate-dependent asymptotical stability criterion is established for genetic regulatory networks with differential time-varying delays for Lyapunov-Krasovskii functional networks.

TL;DR: A new integral inequality and an improved reciprocally convex combination inequality are considered by using the average dwell time approach together with a novel Lyapunov–Krasovskii functional to ensure the switched GRNs with switching parameters and time delays are exponentially stable.

TL;DR: A Lyapunov–Krasovskii functional is constructed including quad-slope integrations, and delay-dependent finite-time stability criteria is established by employing the Wirtinger-type integral inequality, Gronwall inequality, convex technique, and reciprocally conveX technique.