一类带有干扰项波动方程的精确能控性Exact Controllability of the Wave Equation with Intervene
郭利军,李丽萍
摘要(Abstract):
讨论一类带有干扰项波动方程y″-Δy+ky′=0,(x,t)∈Ω×Ry=v,(x,t)∈Γ×Ry(0)=y0,y′(0)=y1,x∈Ω的精确能控性,利用希尔伯特唯一性方法证明该系统是精确能控的。
关键词(KeyWords): 波动方程;精确能控性;干扰项
基金项目(Foundation):
作者(Author): 郭利军,李丽萍
参考文献(References):
- [1]J L LIONS.Exact controllability,stabilizability,and perturbations for distributed system[J].Siam Review,1988,30(1):1-68.
- [2]KONORNIK V.Exact controbility and stabilization and the multiplier method[M].Paris,Masson,1994,7-60.
- [3]KOMORNKU V,ZUAZUA E.A direct method for boundary stabilization of the wave equation[J].math.Pures et Apple,1990,69:33-54.
- [4]RUTHF.Curtain Hans Zart An introduction to infinite-Dimensional Linear Systems Theroy[M].Springer-Springer-verlag Newyork Berlin Heiderlberg London praris,1995,101-128.
- [5]孙波.阻尼波动方程的边界能控性[J].中山大学学报,2002,41(1):1-4.
- [6]TEMAN R.infinite-Dimensional Linear dynamical Systems in mechanics and physics[M].Newyork Springer-verlag,1988,15-40.