Optimal Control of Systems Involving Schrödinger Operators

H.M. Serag

References

  1. [1] J.L. Lions, Optimal control of systems governed by partial differential equations (New York: Springer-Verlag, 1971).
  2. [2] J.L. Lions, Some methods in the mathematical analysis of systems and their control (Beijng: Science Press, 1981).
  3. [3] H.A. El-Saify, H.M. Serag, & B. Abdul-Gawad, On boundary control for n x n elliptic systems involving operators with an infinite number of variables, Advances in Modelling & Analysis(France), 37(4), 2001, 32–42.
  4. [4] H.M. Serag & A.H. Qamlo, Boundary control for noncooperative elliptic systems, Advances in Modelling & Analysis (France), 38(3, 4), 2001, 31–2.
  5. [5] J. Fleckinger-Pelle & H.M. Serag, Semi-linear cooperative elliptic systems on Rn, Rendiconti di Matematica(Italy), 5(1), 1995, 89–108.
  6. [6] I.M. Gali & H.M. Serag, Optimal control of cooperative elliptic systems defined on Rn, Journal of the Egyptian Mathematical Society, 3, 1995, 33–39.
  7. [7] H.M. Serag, On optimal control for elliptic systems with variable coefficients, Revista de Matematicas Aplicadas, 19, 1998, 37–1.
  8. [8] V. Barbu, Optimal control of the one-dimensional periodic wave equation, Applied Mathematics and Optimization, 35(1), 1997, 77–90. doi:10.1007/s002459900038
  9. [9] H.M. Hassan & H.M. Serag, Optimal control for quasi-static problem with viscous boundary conditions, Indian Journal of Pure & Applied Mathematics, 31 (7), 2000, 767–772.
  10. [10] A.V. Pukhlikov, Problems of the control of distributions in dynamical systems, Automation and Remote Control, 65 (41), 1995, 512–525.
  11. [11] A. Djellit & A. Yechoui, Existence of principal eigenvalues for some boundary value problems, Seminaire D’analyse, E.D.P., CEREMATH, Université Toulouse 1, France, 1996–1997.
  12. [12] H.M. Serag, Distributed control for cooperative systems governed by Schrodinger operator, Journal of Discrete Mathematical Sciences & Cryptography, 3 (1-3), 2000, 227-234.

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