DISCRETE APPROXIMATION OF A TIME DELAY SYSTEM AND DELTA MODEL SPECTRUM

Discrete Approximation of a Time Delay System and Delta Model Spectrum

The properties of delta model approximations of time delay systems obtained by means of first and second order numerical methods are investigated. A particular attention is paid to the relationship between the spectra of continuous and corresponding delta model. Based on the convergence between the delta model and the Laplace transform of the continuous time model, the convergence of the trajec...

T-S FUZZY MODEL-BASED MEMORY CONTROL FOR DISCRETE-TIME SYSTEM WITH RANDOM INPUT DELAY

A memory control for T-S fuzzy discrete-time systems with sto- chastic input delay is proposed in this paper. Dierent from the common assumptions on the time delay in the existing literatures, it is assumed in this paper that the delays vary randomly and satisfy some probabilistic dis- tribution. A new state space model of the discrete-time T-S fuzzy system is derived by introducing some stocha...

The Lifetime Behavior of a New Discrete Time Mixed $delta$-shock Model

In this study, a mixed $delta$-shock model with discrete-time is defined by combining $delta$-shock and extreme shock models. In this model, a system with multiple states fails in two ways: first, when k interarrival times between two consecutive shocks with magnitude larger than the critical threshold $gamma$ are in $[delta_1, delta _2], delta_1 < delta _2$; and second, when the interarrival t...

t-s fuzzy model-based memory control for discrete-time system with random input delay

a memory control for t-s fuzzy discrete-time systems with sto- chastic input delay is proposed in this paper. dierent from the common assumptions on the time delay in the existing literatures, it is assumed in this paper that the delays vary randomly and satisfy some probabilistic dis- tribution. a new state space model of the discrete-time t-s fuzzy system is derived by introducing some stocha...

Dynamics of a discrete-time plant-herbivore model