Hindmarsh-Rose神經(jīng)元模型混沌控制與同步問(wèn)題的研究.pdf

1、河北工業(yè)大學(xué)碩士學(xué)位論文Hindmarsh-Rose神經(jīng)元模型混沌控制與同步問(wèn)題的研究姓名：吳泉軍申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：應(yīng)用數(shù)學(xué)指導(dǎo)教師：周進(jìn)20070601Hindmarsh-Rose > * b : x R X O $ X ? E ; ? ? ? 2RESEARCH ON CHAOS CONTROL AND SYNCHONIZATION OFHINDMARSH-ROSE NEURON MODELSABSTRACTThe pr

2、esent thesis is devoted to the study of chaos control and synchroniza-tion of the Hindmarsh-Rose neuron models. The main issues of the thesis areaddressed as follows:Firstly, by using the adaptive feedback control techni

3、que, some new yet genericsufficient conditions for synchronization of such models are derived.Secondly, based on the sliding control, a brief and practial criterion for syn-chronization of such models are established.Fin

4、ally, by utilizing impulsive control theory on dynamical systems, some sim-ple yet less conservative criteria ensuring impulsive stabilization and synchroniza-tion of such models are obtained.It is believed that the abov

5、e works further develop existing theoretical resultsand control techniques, and the numerical simulation demonstrates the effective-ness and feasibility of the proposed control techniques.KEY WORDS: Hindmarsh-Rose neuron