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

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DOI: 10.4236/apm.2013.36077    3,310 Downloads   5,306 Views  

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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

A. Qamlo, "Optimality of Distributed Control for n × n Hyperbolic Systems with an Infinite Number of Variables," Advances in Pure Mathematics, Vol. 3 No. 6, 2013, pp. 598-608. doi: 10.4236/apm.2013.36077.

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