A Mach-Zhender style interferometric delay can be used to separate a pulses by a precise amount of time, act as a frequency comb, and measure lengths to extreme precision. The accuracy and precision for each application is dependent on the length stability in the interferometer itself. While passive length stabilization is enough for many applications, especially on a short time scale, relying ...

This paper considers robust stochastic stability, stabilization and H∞ control problems for a class of jump linear systems with time delays. By taking some zero equations, neither model transformation nor bounding for cross terms is required to obtain the delay-dependent results, which are given in terms of linear matrix inequalities (LMIs). Maximum sizes of time delays are also studied for sys...

The problems of delay-dependent robust stability and stabilization for continuously singular timedelay systems with norm-bounded uncertainties are investigated in this paper. Based on a Lyapunov functional, which includes some non-positive items, the modified delay-dependent LMIs-based conditions are established for the singular time-delay systems to be regular, impulse free, and stable. Then, ...

This article concentrates on the stability of nonlinear positive semi-Markovian jump systems (NPSMJSs) with mode-dependent delay, where transition rate functions depend both sojourn-times and average dwell time (ADT) switching. By resorting to linear programming (LP) approach, sufficient conditions for stochastic exponential delay NPSMJSs are developed. In addition, we obtain $ L_{1}- $gian per...

and Applied Analysis 3 established for the dynamics of the NNmodel. Next, in terms of Lyapunov’s direct method, a delay-dependent criterion is derived to guarantee the exponential stability of the error system between the master system and slave system. Subsequently, the stability condition of this criterion is reformulated into a linear matrix inequality (LMI). According to the LMI, a fuzzy co...

Abstract This paper presents new exponential stability conditions for a class of linear systems with time-varying delay. Unlike the previous works, the delay function considered in this paper is time-varying without any requirement on the derivative, which means that a fast time-varying delay is allowed. Based on an improved Lyapunov-Krasovskii functional combined with Newton-Leibniz formula an...