From phenomena of synchronization to exact synchronization and approximate synchronization for hyper

来源 :第八届工业与应用数学国际大会 | 被引量 : 0次 | 上传用户:onlyEmpty
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  In this talk the synchronization will be initially studied for infinite dimensional dynamical systems of partial differential equations instead of finite dimensional systems of ordinary differential equations,and will be connected with the control theory via boundary controls in a finite time interval.More precisely,various kinds of exact boundary synchronization and approximate boundary synchronization will be introduced and realized by means of fewer boundary controls for a coupled system of wave equations with Dirichlet boundary controls.Moreover,as necessary conditions for various kinds of approximate boundary synchronization,Criteria of Kalman's type are obtained.Finally some prospects will be given.
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