This paper studies the problem of controlling chaos in Lorenz system. By dividing Lorenz system into two subsystems, the small gain theorem is used to design linear feedback controllers to make the equilibrium points of the controlled system globally asymptotically stable. Thus chaos in Lorenz system disappears under the controller.

It has been pointed out that a chaos control technique wherein a weak excitation is added to the system could be useful for the control of friction at the nanoscale. We examine the claim that this technique can achieve chaos control even though the added excitation is weak. We show that this claim is only valid for the particular case of systems with very shallow potential wells. However, the a...

the problem discussed in this paper is the effect of latency time on the ogy chaos control methodology in multi chaotic systems. the smith predictor, rhythmic and memory strategies are embedded in the ogy chaos control method to encounter loop latency. a comparison study is provided and the advantages of the smith predictor approach are clearly evident from the closed loop responses. the comple...

generate very wide bandwidth waveforms directly and efficiently. With chaos control, we can produce a vast array of waveforms that are ideal for spread-spectrum communications and for highly accurate ranging. We believe a system designed around a chaotic source can perform comparably to conventional systems while requiring far fewer components. The idea of exploiting the complexity of chaos in ...

This paper studies chaos synchronization in the modified Chua's circuit with x x using linear state feedback control scheme. A new sufficient condition is derived for chaos synchronization between the two modified Chua's circuits with x x based on the Lyapunov stability theory and the Linear Quadratic Optimal Control theory. A simulation example is given for demonstration. 1. Introduction Today...

This article has focused on evaluation and identification of effective parameters in positioning performance with an odometry approach of an omni-directional mobile robot. Although there has been research in this field, but in this paper, a new approach has been proposed for mobile robot in positioning performance. With respect to experimental investigations of different parameters in omni-dire...

A new kind of resonator based on a nonlinear directional coupler with feedback is presented. The steady states are found and the map of the system is iterated, showing the existence of bistability, period doubling and chaos. The dependence of the dynamic features is discussed in terms of the parameters of the two different schemes of feedback studied in this work. A new device based on one of t...

We report experimental control of chaos in an electronic circuit at 43.9 MHz, which is the fastest chaos control reported in the literature to date. Limiter control is used to stabilize a periodic orbit in a tuned collector transistor oscillator modified to exhibit simply folded band chaos. The limiter is implemented using a transistor to enable monitoring the relative magnitude of the control ...