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Inverse and Boundary control problems with applications (EGIDE-ECONET-16362VB)


Funded by

Ministry for Foreign Affairs of France

Start Date: 2007-01-01       End Date: 2008-12-31

An inverse problem for the linear control delay differential equations with non-fixed initial function , non-fixed initial moment and vector is posed. On purpose to the approximate solving of the inverse problem, its corresponding the ,,regularization” optimal control problem is considered and appropriate necessary conditions of optimality are obtained. The inverse problem , when initial moment and vector are fixed, by iteration method is approximately solved.

Project members:

Talks

  • An inverse problem for some classes linear functional differential equations, by Tamaz Tadumadze (Speaker) at The 2 nd International Conference on Control and Optimization with Industrial Applications, 2008, Baku, Azerbaijan.
  • Optimal control and inverse problems for some classes of neutral differential equations, by Tamaz Tadumadze (Speaker), Abdeljalil Nachaoui, Akaki Arsenashvili at “Problemes Inverses , controle de bord et applications”, 2008, Nantes, France.

Publications

  • Akaki Arsenashvili, Tamaz Tadumadze, Abdeljalili Nachaoui, On approximate solving of a class of an inverse problem for the linear delay differential equations, Bull. Georg. Nati. Acad. Sci.,v.2, no. 2 ,24-28, Georgian Academy Press, 2008.
  • Tamaz Tadumadze, An inverse problem for some classes of linear functional differential equations, J. App. and Comput. Math. V. 8, # 2, 239-250, Institute of Applied Mathematics of Baku State University, 2009.

Additional Information

In the framework of the project two articles are published:
8.1. Tadumadze T., Nachaoui A., Arsenashvili A. On approximate solving of a class of an inverse problem for the linear delay differential equations. Bull. Georg. Nati. Acad. Sci.,v.2, no. 2 (2008), 24-28 .
8.2. Tadumadze T. An inverse problem for some classes of linear functional differential equations. J. App. and Comput. Math. V. 8, # 2, 2009, 239-250.
T. Tadumadze and A. Arsenashvili participated in conferences which held in 2007 and 2008 within the framework of the project ( J. Lere Mathematics Laboratory of Nantes University). A. Nachaoui participated in the scientific seminars which held in 2007 and 2008 within the framework of the project (TSU I. Vekua Institute of Applied Mathematics).