This paper is devoted to the investigation on stability for two characteristic functions $f_1(z) = z^2+pe^{-z\tau }+q$ and $f_2(z) z^2+pz e^{-z\tau }+q$, where $p$ $q$ are real numbers $\tau >0$. The obtained theorems describe explicit dependence changing delay $. Our results applied some special cases of a linear differential system with in diagonal terms delay-dependent conditions obtained.

In this paper, a new T-S fuzzy hyperbolic delay model for a class of nonlinear systems with time-varying delay, is presented to address the problems of stability analysis and feedback control. Fuzzy controller is designed based on the parallel distributed compensation (PDC), and with a new Lyapunov function, delay dependent asymptotic stability conditions of the closed-loop system are derived v...

there are two significant goals in teleoperation systems: stability and performance. this paper introduces an lmi-based robust control method for bilateral transparent teleoperation systems in presence of model mismatch. the uncertainties in time delay in communication channel, task environment and model parameters of master-slave systems is called model mismatch. the time delay in communicatio...

G-rich regions have the potential to form G4 DNA upon replication, which can lead to genomic instability. FANCJ, a G4 DNA helicase, has been shown to be critical for the stability of regions that match the G4 signature motif by experiments analyzing its nematode homolog.