Boundary Control for 2 × 2 Elliptic Systems with Conjugation Conditions

Show more

References

[1] J. L. Lions, “Optimal Control of Systems Governed by Partial Differential Equations,” Springer Verlag, Berlin, 1971. doi:10.1007/978-3-642-65024-6

[2] J. L. Lions, “Some Methods in the Mathematical Analysis of Systems and their Control,” Science Press, Beijing, 1981.

[3] I. V. Sergienko and V. S. Deineka, “Optimal Control of Distributed Systems with conjugation Conditions,” Spring er, 2005.

[4] G. M. Bahaa, “Optimal Control for Cooperative Parabolic Systems Governed by Schrodinger Operator with Control Constraints,” IMA Journal of Mathematical Control and Information, Vol. 24, No. 1, 2007, pp. 1-12.
doi:10.1093/imamci/dnl001

[5] H. A. El-Saify, H. M. Serag and M. A. Shehata, “Time Optimal Control Problem for Cooperative Hyperbolic Systems Involving the Laplace Operator,” Journal of Dynamical and Control Systems, Vol. 15, No. 3, 2009, pp. 405-423. doi:10.1007/s10883-009-9067-y

[6] I. M. Gali and H. M. Serag, “Optimal Control of Coop erative Elliptic Systems Defined on Rn,” Journal of the Egyptian Mathematical Society, Vol. 3, 1995, pp. 33-39.

[7] A. H. Qamlo, “Distributed Control for Cooperative Hy perbolic Systems Involving Schrodinger Operator,” In ternational Journal of Dynamics and Control, Vol. 1, No. 1, 2013, pp. 54-59. doi:10.1007/s40435-013-0007-z

[8] A. H. Qamlo, “Optimality Conditions for Parabolic Sys tems with Variable Coefficients Involving Schrodinger Operators,” Journal of King Saud University—Science, 2013. doi:10.1016/j.jksus.2013.05.005

[9] H. M. Serag, “On Optimal Control for Elliptic Systems with Variable Coefficients,” Revista de Matemáticas Ap licadas, Vol. 19, 1998, pp. 37-41.

[10] H. M. Serag, “Distributed Control for Cooperative Sys tems Governed by Schrodinger Operator,” Journal of Discrete Mathematical Sciences & Cryptography, Vol. 3, No. 1-3, 2000, pp. 227-234.
doi:10.1080/09720529.2000.10697910

[11] H. M. Serag, “Optimal Control of Systems Involving Schrodinger Operators,” International Journal of Intelli gent Control and Systems, Vol. 32, No. 3, 2004, pp. 154-157.

[12] H. M. Serag and A. H. Qamlo, “On Elliptic Systems In volving Schrodinger Operators,” The Mediterranean Jour nal of Measurement and Control, Vol. 1, No. 2, 2005, pp. 91-96.

[13] H. A. El-Saify, “Boundary Control for the Parabolic Op erator with an Infinite Number of Variables,” Functional Differential Systems and Related Topics, Vol. 3, 1983, pp. 79-82.

[14] H. A. El-Saify, “Boundary Control for the Hyperbolic Oper ator with an Infinite Number of Variables,” Journal In stitute Mathematics & Computer Science (Computer Sci ence Series), Vol. 1, No. 2, 1990, pp. 47-51.

[15] H. A. El-Saify, “Boundary Control Problem with an Infi nite Number of Variables,” International Journal of Ma thematics and Mathematical Science, Vol. 28, No. 1, 2001, pp. 57-62. doi:10.1155/S0161171201007128

[16] M. H. Hassan and H. M. Serag, “Boundary Control of Quasi Static Problem with Viscous Boundary Condi tions,” Indian Journal of Pure and Applied Mathematics, Vol. 31, No. 7, 2000, pp. 767-772.

[17] H. M. Serag and A. H. Qamlo, “Boundary Control for Non-Cooperative Elliptic Systems,” Advances in Model ing & Analysis, Vol. 38, No. 3, 2001, pp. 31-42.