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G. M. Bahaa, “Time-Optimal Control Problem for Parabolic Equations with Control Constraints and Infinite Number of Variables,” IMA Journal of Mathematical Control and Information, Vol. 22, No. 3, 2005, pp. 364-375. doi:10.1093/imamci/dni033

has been cited by the following article:

• TITLE: Optimality of Distributed Control for n × n Hyperbolic Systems with an Infinite Number of Variables

  AUTHORS: Ahlam Hasan Qamlo

  KEYWORDS: Hyperbolic Operators; Cooperative Systems; Spaces With an Infinite Number of Variables; Existence and Uniqueness of Solutions; Distributed Control Problems; Control Constraints; Variable Coefficients

  JOURNAL NAME: Advances in Pure Mathematics, Vol.3 No.6, September 30, 2013

  ABSTRACT: In this paper, we study the existence of solutions for 2l order (n × n) cooperative systems governed by Dirichlet and Neumann problems involving hyperbolic operators with an infinite number of variables and with variable coefficients. The necessary and sufficient conditions for optimality of the distributed control with constraints are obtained and the set of inequalities that defining the optimal control of these systems are also obtained.