bibitem{a5-1}
Abbas H. A. (2001). ``Marriage in Honey Bees Optimization
(MBO): A Haplomelrosis Polyggnous Swarming Approach", The
congress on Evolutionary Computation, 207--214.
bibitem{a5-2} Allalrf G.,
Jouv F. (2005). ``A level-Set method for varation and multiple loads structural optimization", Computer Methods in Applied Mechanics and Engineering, {194}, 3269--3290.
bibitem{a5-3}Alexander G. R. (1998). ``Spectral and scattering theory", United state of America.
bibitem{a5-4} Andreodi M., Janka A., Desideri J. A. (2003). ``Free-form Deformation Parametrization for Multi-Level 3D Shape Optimization in Aerodynamics", Institut National de Recherch en Information et en Automatique, 00071565.
bibitem{a5-5} Castro C., Cox S. J. (2001). ``Achieving arbitrarily large decay in the damped wave equation", SIAM Journal on Control and Optimization, {6},
1748--1755.
bibitem{a5-6} Cox S. J., Zuazua, E. (1994). ``The rate at which energy decays in a damped string", Communications in Partial Differential Equations {19},
213--243.
bibitem{a5-7} Cox S. J. (1998). ``Designing for optimal energy absorption II, The damped wave equation", International Series of Numerical Mathematics, {126},
103--109.
bibitem{a5-8} Fakharzadeh J. A., Rubio J. E. (1999). ``Global
Solution of Optimal Shape Design Problems", Journal of Analysis
and its Application, {18}, 143--155.
bibitem{a5-9} Fakharzadeh J. A., Rubio J. E. (1999).
``Shape and measure", IMA Journal of Mathematical Control and Information, {16}, 207--220.
bibitem{a5-10} Fakharzadeh J. A., Rubio J. E.
(2001). ``Shape-Measure Method for Solving Elliptic Optimal Shape Problems (Fixed Control Case)", Bulletin of the Iranian Mathematical Society, {27}, 41--63.
bibitem{a5-11} Fakharzadeh J. A., Rubio J. E. (2009). ``Best Domain for an Elliptic Problem in Cartesian Coordinates by Means of
Shape-measure", Asian Journal of Control, {11}, 536--554.
bibitem{a5-12} Fakharzadeh J. A. (2013). ``A shape-measure method for solving free-boundary elliptic systems with boundary control function", Iranian Journal of Numerical Analysis and Optimization, {3}(2) 47--65.
bibitem{a5-13} Fakharzadeh J. A., Rafei Z. (2012). ``Best
Minimizing Algorithm for Shape-Measure Method", The Journal of
Mathematics and Computer Science, {5}, 176--184.
bibitem{a5-14} Freitas P. (1996). ``On some eigenvalues problems related to the wave equation with indefinite damping ", Journal of Differential Equations, {127}, 320--335.
bibitem{a5-15} Hebrard P., Henrot A. (2003). ``Optimal shape and position of the actuators for the stabilization of a string", Systems & Control Letters, {48}, 199--209.
bibitem{a5-16} Kamyad A. V., Rubio J. E., Wilson D. A. (1991).
``The optimal control of multidimensional diffusion equation",
Journal of Optimization Theory and Applications, {70},
191--209.
bibitem{a5-17} Lions J., Magenes E. (1968). ``Problem aux Limites Non Homogenes A pplications", Dunod, Paris.
bibitem{a5-18} Lopez-Gomez J. (1997). ``On the linear damped wave equation", Journal of Differential Equations. {134}, 26--45.
bibitem{a5-19} Mehneh M. H., Farahi M. H. (2019). ``Transformation to a fixed domain in LP modelling for a class of optimal shape design problems", Iranian Journal of Numerical Analysis and Optimization, {9} (1), 1--16.
bibitem{a5-20} Mohammadi B., Pironneau O.
(2010). ``Applied Shape Optimization for Fluids", $2^{rd}$ Ed, Oxford Science publications.
bibitem{a5-21} Munch A., Pedregal P., Periago F. (2006). ``Variational Approach to a Shape Design Problemfor the Wave Equation", Comptes Rendus de 1 Academie des Sciences Paris , {343}, 371--376.
bibitem{a5-22} Munch A. (2009). ``Optimal Internal Dissipation of Damped Wave Equation using a Topological Approach", International Journal of Applied Mathematics and Computer Science, {19}, 15--37.
bibitem{a5-23} Privat Y., Trelat E. (2014). ``Optimal Design of Sensors for a Damped Wave Equation", Proceedings of AIMS 2014 workshop, Madrid, Discrete and Continuous Dynamical Systems.
bibitem{a5-24} Privat Y., Trelat E., Zuazua E. (2015). ``Optimal Shape and Location of Sensors for Parabolic Equations with Random Initial Data", Archive for Rational Mechanics and Analysis, {216}, 921--981.
bibitem{a5-25} Royden H. L. (1988). ``Real Analysis", $3^{rd}$ Ed. NewYork: Macmillan.
bibitem{a5-26} Rubio J. E. (1986). ``Control and Optimization:
the linear treatment of nonlinear problems", Manchester
university Press, Manchester.
bibitem{a5-27} Rubio J. E. (1993). ``The global control of nonlinear
elliptic equation", Journal of Franklin Institute, {330} (1)
29--35.
bibitem{a5-28} Rudin W. (1983). ``Real
and Complex Analysis", $2^{rd}$ Ed, Tata McGraw-Hill Publishing
Co Ltd., new Dehli.
bibitem{a5-29} Shubov M. A. (1998). ``Exact boundary and distributed controllabity of radial damped wave equation", Journal de Mathematiques Pures et Appliquees, {77}, 415--437.
bibitem{a5-30} Tcheugoue-Tebou L. R. (1998). ``Stabilization of the Wave Equation with Localized Nonlinear Damping", Journal of Differential Equations, {145}, 502--524.
bibitem{a5-31} The energy method, Math124A-October 13, 2011,
"http:// www.math.ucsb.edu/~grigoryan/124A/lecs/lec7.pdf, October 24 (2014).
bibitem{a5-32} Treves F. (1967). ``Topology Vector Space, Distributions and Kernels", Academic Press, New York and London.