In order to exploit the nonlinear time-varying property of network traffic, the traffic flow from controlled sources is described by a fuzzy autoregressive moving-average model with auxiliary input (fuzzy ARMAX process), with the traffic flow from uncontrolled sources (i.e., cross traffic) being described as external disturbances. In order to overcome the difficulty of the transmission delay in...

In this paper, the problems of robust stabilization and H∞ control for uncertain stochastic systems with multiple time delays represented by the Takagi-Sugeno (T-S) fuzzy model have been studied. By constructing a new Lyapunov-Krasovskii functional (LKF) and using the bounding techniques, sufficient conditions for the delay-dependent robust stabilization and H∞ control scheme are presented in t...

This work presents an observer-based adaptive control approach for time-delay chaotic systems with uncertainty. The chaotic system is initially expressed with the Takagi-Sugeno (T-S) fuzzy model. The design of the adaptive fuzzy observer is introduced based on the assumptions of chaotic system properties. Next, the design principle is applied to stabilization and tracking problems. Based on Lya...

This paper studies the H∞ control problem for a class of Takagi-Sugeno (T-S) fuzzy neutral systems with time-varying delays and actuator saturation, where the delay in neutral-type term includes a fast-varying case (i.e., the derivative of delay is more than 1), which is never considered in current literature for this systems. The new LMI-based delaydependent H∞ control results for this systems...

The paper surveys over twenty models of delay discounting (also known as temporal discounting, time preference, time discounting), that psychologists and economists have put forward to explain the way people actually trade off time and money. Using little more than the basic algebra of powers and logarithms, I show how the models are derived, what assumptions they are based upon, and how differ...

This paper addresses the delay-dependent Takagi-Sugeno (T-S) fuzzy state feedback control and exponential admissibility analysis for a class of T-S singular uncertain systems. Firstly, model is employed to approximate system with time-varying delay, saturation input unmatched disturbance. Secondly, controller designed by employing model. Thirdly, free-weighting matrices Lyapunov-Krasovskii func...

After generalization of Shannon‘s entropy measure by Renyi in 1961, many generalized versions of Shannon measure were proposed by different authors. Shannon measure can be obtained from these generalized measures asymptotically. A natural question arises in the parametric generalization of Shannon‘s entropy measure. What is the role of the parameter(s) from application point of view? In the pre...

An extended robust model predictive control approach for input constrained discrete uncertain nonlinear systems with time-delay based on a class of uncertain T-S fuzzy models that satisfy sector bound condition is presented. In this approach, the minimization problem of the “worst-case” objective function is converted into the linear objective minimization problem involving linear matrix inequa...

In this paper, the synchronization of a new hyperchaotic complex system based on T-S fuzzy model is proposed. First, the considered hyperchaotic system is represented by T-S fuzzy model equivalently. Then, by using the parallel distributed compensation (PDC) method and by applying linear system theory and exact linearization (EL) technique, a fuzzy controller is designed to realize the synchron...