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On Simultaneous Exact Controllability

On Simultaneous Exact Controllability
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摘要 We consider a mixed problem for a system describing the evolution of sound in a compressible fluid. We describe how to treat a simultaneous exact boundary controllability problem in the sense proposed by J.L. Lions as well as D. Russell. By using convenient modified multipliers we obtain an observability inequality provided suitable geometric condition on the domain is valid and the speed velocity of the models are related.
出处 《Journal of Mathematics and System Science》 2013年第12期655-658,共4页 数学和系统科学(英文版)
关键词 Exact controllability multipliers technique Hilbert uniqueness method. 可压缩流体 演化系统 混合问题 可观测性 几何条件 速度 罗素
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参考文献6

  • 1B.V. Kapitonov, Stabilization and simultaneous boundary controllability for a pair of Maxwell's equations, Comp. Appl. Math. 15 (3) (1996), pp. 213-225.
  • 2B.V. Kapitonov, G. Perla Menzala, Simultaneous exact control of quasi-electrostatic piezoelectric systems in multilayered media, Acta Appl. Math., 94 (2006), pp. 49-66.
  • 3B.V. Kapitonov, G. Perla Menzala, Simultaneous exact controllability: an elastodynamic system and Maxwell's equations, Advances in DifferentialEquations, Vol 16, Number 5-6 (2011), pp. 551- 571.
  • 4J.L. Lions, Exact controllability, stabilization and perturbations for distributed systems, SIAM Review, 30 (1988), pp. 1-68.
  • 5J.L. Lions, Contr61abilit6 exacte, stabilization et perturbations des systbmes distribu6s, Masson, Paris, Vol 1,2 (1998).
  • 6D.L. Russell, Dirichlet-Neumann boundary control problem associated with Maxwell's equations in a cylindrical region, SIAM, J. Math. Anal. 24 (1986), pp. 199-229.

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