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INDIAN INSTITUTE OF SPACE SCIENCE AND TECHNOLOGY
Raju George




Dr. Raju K. George
Professor & Head
Department of Mathematics
Indian Institute of Space Science and Technology
Thiruvananthapuram - 695 022
Phone:0471 2563463 (Off)
0468 2301424 (Res)
Fax:0471 2564806
E-mail:
 Dr. Raju George  


Education:
  • Ph.D. (IIT, Bombay)


    Area of Research:
    Functional Analysis, Mathematical Control Theory, Soft Computing, Industrial Mathematics.


    Courses offered:
      Engineering Mathematics
      SoftComputing
      MATLAB


    Experience:
    • Currently Teaching Undergraduate and Post-Graduate courses at Indian Institute of Space Science and Technology (IIST), Thiruvananthapuram, India as Professor and Head of Mathematics.
    • Professor and Head of Mathematics at the University Institute of Chemical Technology, Mumbai, August 2007 - Sept 2007.
    • Teaching Undergraduate Courses at the University of Delaware as visiting Professor during 2002-2004, (2 years).
    • 12 years as associate Professor in the M S University of Baroda Baroda, teaching Engineering Undergraduate students and post-graduate students of Applied Mathematics programme.

    Research:
    • Two years of Post-doctoral research works at the Department of Mathematical Sciences, University of Delaware, USA.
    • Four years at Indian Institute of Science, Banglore as Post Doctoral Fellow.
    • Five years at Indian Institute of Technology, Bombay as Ph.D. student.
    • 12 years at MS University of Baroda as Associate Professor.

    Projects:
    • Completed the following UGC minor Research Project (Nov’96-Mar’00).
      Topic : Identification of Control Systems Using Orthogonal Functions
    • The following Thrust Area Project of AICTE is completed (Nov’96-Mar’00).
      Topic : Artificial Neural Network Algorithms for parameter estimation problems and its applications to petroleum industries


    Ph.D Scholars:
    • Ph.D. Programme:
      1. Dimple Chalishazar (Degree Awarded)
        Topic: Controllability of Nonlinear Systems.
      2. Manjusha Kulshetra (Degree Awarded)
        Topic: Prediction of Weather Parameters by ANN Techniques.
      3. Purnima Pandit (Degree Awarded)
        Topic: Neural Network based controllers.
      4. Jaita P. Sharma (Degree Awarded)
        Topic: Controllability of Second Order Systems and Impulsive Systems.
      5. Trupti Shah (Degree Awarded)
        Topic: Discrete systems - Controllability and Stability.


    Selected Publications:
    1. Asymptotic Stability of Semi-linear Discrete Dynamical Systems Involving(sp) Matrix, Nonlinear Studies, Vol. 16, No. 1, pp.23-29(2009).
    2. Application of Artificial Neural Networks to Predict the Probability of Extreme Rainfall and Comparison with the Probability by Fisher Tippet Type-II Distributions, International Journal of Applied Mathematics and Computations, Vol 1(3), pp.118-131 (2009).
    3. Accurate solution estimate and asymptotic behaviour of Nonlinear Discrete system, Sutra: International Journal of Mathematical Science Education, Vol. 1, No. 1, pp. 9-15 (2008).
    4. Steering control of Semilinear Discrete dynamical system, Journal of Indian Institute of Science, Vol. 87:4, pp. 485-489 (2007).
    5. Prediction of Annual Rainfall By Double Fourier Series and Artificial Neural Network, Int. J. of Neural, Parallel and Scientific computations, vol.15, no.4 pp.539-546 (2007).
    6. Prediction of the weekly Rainfall probabilities by Gamma distribution and Artificial Neural Networks: J. of Agro Meteorology, vol. 9, no. 2, pp. 196-202 (2007).
    7. Exact Controllability of Nonlinear Third-Order Dispersion, Journal of Mathematical Analysis and Applications, Vol. 332,pp.1028-1044(2007).
    8. Controllability of Matrix Second Order Systems: A Trigonometric Matrix Approach, Electronic J. Diff Eqns, Vol. 2007,No. 80, pp.1-14 (2007).
    9. Controllability and Steering control by Spectral Method, Mathematics, Computing and Modeling, Edit. P Balasubramaniam and R Uthayakumar, Allied Publishers, pp. 29-38, (2007).
    10. Controllability of Matrix Second Order Systems- Cosine and Sine Operator Approach, Mathematics, Computing and Modelling, Edit. P Balasubramaniam and R Uthayakumar, Allied Publishers, pp. 11-20, (2007).
    11. Exact Controllability of Nonlinear Impulsive Systems, (to appear in the Proceedings of Fifth International Conference on Dynamical Systems and Applications, 2007, Atlanta, USA).
    12. Prediction of Hourly Air Temperature by Using Double Fourier Series, (to appear in the Proceedings of Fifth International Conference on Dynamical Systems and Applications, 2007,Atlanta, USA).
    13. Exact Controllability of Generalized Hammerstein Type Integral Equation with Applications, Elect. J. Differential Equations, Vol. 142, pp1-15 (2006).
    14. Exact Controllability of Generalized Hammerstein Type Equation Industrial Mathematics, Edited by M. C. Joshi, A. K. Pani and A. V. Sabnis, Narosa Publishing House, New Delhi, pp. 61-70 (2006).
    15. Controllability of Second order Semilinear Neutral Functionasl Differential Inclusion in Banach Space. , Meditaranean Journal of Mathematics, vol 1 , pp. 463-477,(2004)
    16. Exact Controllability of a Semilinear Thermoelastic System Numerical Functional Analysis and Optimization, Vol 25(3&4),271-285, (2004).
    17. Prediction of the rainfall of the Anand station of Gujarat using Artificial Neural Network" Jr. of Agro Meteorology. Vol. 6, pp 233-236, (2004).
    18. Solvability and Controllability of Controlled Lienard System, Indian Journal of Mathematics, Vol 45, pp. 59-69, (2003).
    19. Prediction of soil temperature by using Artificial Neural Networks Algorithms, Nonlinear Analysis, vol. 47, pp. 1737-1748, (2001).
    20. On the Controllability of a Class of nonlinear Stochastic Systems, Systems and Control Letters , Vol. 44 , pp. 25-34, (2001).
    21. Prediction of Soil Temperatures Using Artificial Neural Networks." Jr. of Agro Meteorology.Vol.(3) 1&2:, pp 169-173, (2001).
    22. MLE of Location Parameter of Cauchy Distribution, Gujarat Statistical Review , Vol. 26(1999) and Vol. 27,pp.61-68, (2000).
    23. A note on Controllability of Impulsive Systems, Journal of Mathematical Analysis and Applications 241, pp.276-283(2000).
    24. Controllability of Hopfield Networks, Proceedings of Brain-Machine workshop,2000 held at Middle East Technical University, Ankara, Turkey during 20-22nd December 2000, Ed. U Halici et. al , pp. 93-102, (2000).
    25. Controllability of Singular system Using alpha times Integrated Functions, Proceedings of the 45th congress of the Indian society of Theoretical and Applied Mechanics, Editor D.K. Tripathy, pp.112-120, IIT Kharagpur, ( 2000).
    26. Stability and Controllability of Hopfield Neural Network, Proceedings of international Conference on Mathematical Modelling of Nonlinear Systems,IIT Kharagpur, Vol.1, (1999)
    27. Observability Analysis of Hopfield Type Neural Networks, J. of the M.S. University of Baroda, Vol. 44-45,No.3, pp. 49-55,(1997-98).
    28. Trajectory Controllability of 1-dimensional Nonlinear Systems, Proceedings of the Research Seminar in honour of Professor M N Vasavada, Department of Mathematics, S.P.University, Anand, pp. 43-48,1996.
    29. Approximate Controllability of Non-autonomous Semilinear Systems. Nonlinear Analysis, Theory, Methods and Application, Vol.24, pp.1377-93,( 1995)
    30. Approximate Controllability of Semilinear Systems using Integral Contractors, Numerical Function Analysis and Optimization, vol.13. pp. 127-138, (1995).
    31. Partial Exact Controllability of a non-linear system. Revista Mathematica d al Universidad Coplutense de Madrid, Vol.8, No.1, pp. 181-196, (1995).
    32. Partial exact controllability of a Linear Thermoelastic System, Indian Journal of Mathematics, Vol.37, No.2, pp 165-174, 1995
    33. Observability of a Class of Nonlinear Abstract Systems, Mathematical theory of Control, Edited by M.C.Joshi and A.V.Balakrishnan, Lectutre Notes in Pure and Applied Math. Vol. 142, Marcell-Decker Inc.,NY, pp.143- 160, (1993).
    34. On Controllability of Predator-Prey Systems, Journal of Optimization Theory and Applications, Vol.74, No.2, pp. 243-258, (1992).
    35. Controllability of Nonlinear Systems, Numerical functional Analysis and Optimization, Vol.10(1&2), pp.139-166, (1989).


    Articles:
    1. Chapter 3 : Neural Networks, Lecture Notes on Scientific Computing - Theory and practices, edited by M C Joshi, G B Pant University of Agricul. And technol., Pantnagar, 2006
    2. Chapter 2 : Linear Systems and Stability Analysis, Lecture Notes of Instructional Workshop on Differential equations: Theory and computation, Department of Mathematics, Indian Institute of Science, Bangalore, pp. 37-58, 2000,
    3. Three Review Articles in the journal of Indian Institute of science, Bangalore, 1993-1997.


    International Conferences/ Seminars and talks delivered :
    1. Visited University of Catania and University of Milan, Italy in July 2000. Gave a talk on 'Prediction of Soil Temperature by using Artificial neural Networks' in World Congress of Nonlinear Analysts 2000 at Catania, Italy.
    2. Visited the Middle East Technical University, Ankara, Turkey in December, 2000. Gave a talk on 'Controllability of Hopfield Networks' in Brain-Machine workshop 2000 held at the same place.
    3. Visited the University of North Carolina at Wilmington, USA, in May 2002 and gave a talk on 'Controllability of Nonlinearly Perturbed systems' in the International conference on Dynamical Systems and Differential Equations held at the same place.
    4. Visited The University of Manitoba at Winnipeg, Canada, in June, 2002 and gave a talk on 'controllability of Nonlinear systems' in the department of Mathematics.
    5. Visited the State University of New York at Buffalo, USA, in June , 2002 and gave a talk on 'the Dynamics of Nonlinear Control Systems'.
    6. Visited the University of Delaware, Delaware, USA, in June 2002 and gave a talk on 'Nonlinear controllability Problems'.
    7. Visited the University of Texas at Austin, Austin, USA, and had research discussion meeting in June, 2002.
    8. Visited the Morehouse College, Atlanta, USA, in May 2003 and gave a talk on 'Controllability of Nonlinear Thermoelastic systems' in the Fourth International conference on Dynamic Systems and Applications.
    9. Chaired a session and gave a talk on 'Controllability of Matrix Second Order Systems - A Trigonometric Matrix Approach' in the Fifth International Conference on Dynamic Systems and Applications, May 30 - June 2, 2007 held at Morehouse College Atlanta, Georgia, USA.


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