Analysis and Synthesis of Stochastic Nonlinear Systems

Shouming Zhong,Jiuwen Cao,Haibo Du,Jun Cheng,P Balasubramaniam

doi:10.1155/2015/121635

Abstract

1School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 611731, China 2School of Science, Hubei University for Nationalities, Hubei 445000, China 3Key Lab for IOT and Information Fusion Technology of Zhejiang, Hangzhou Dianzi University, Zhejiang 310038, China 4Department of Mathematics, Gandhigram Rural University, Gandhigram 624302, India 5Department of Electrical and Computer Engineering, University of Texas at San Antonio, San Antonio, TX 78249, USA

Highlights

It should be noted that the stochastic dynamical system is a dynamical system subjected to the effects of noise, and the effects of fluctuations have been receiving increasing interest
The stochastic abrupt changes, such as sudden environment changes and repairs of components and random failures, always exist in the variable structures during the stochastic dynamical systems; the nonlinearity occurs in the real engineering applications
The accepted reviewed papers can be categorized into five groups: nonlinear Markovian jump systems, neural networks with external constant input vector, noise included nonlinear oscillator, Brownian Motions, and other nonlinear character applications

Summary

Introduction

Editorial Analysis and Synthesis of Stochastic Nonlinear Systems Ever since the emergence of stochastic stabilization theory in the 1960s, stochastic systems have been widely studied and introduced in the areas of mathematics and engineering over the past few years. The stochastic abrupt changes, such as sudden environment changes and repairs of components and random failures, always exist in the variable structures during the stochastic dynamical systems; the nonlinearity occurs in the real engineering applications. Researches on stochastic nonlinear systems have received significant attention due to their wide applications in various fields such as physics, technology, and life sciences.

Results

Conclusion