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Name : Dr. P. BALASUBRAMANIAM Department
: MATHEMATICS Faculty : Rural Oriented Sciences Designation : Reader Date of Birth : 15th May 1967 Designation : Reader in Mathematics Sex : Male |
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Office |
Resident |
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Department of Mathematics
Gandhigram Rural Institute-Deemed
University
Gandhigram-624 302.
INDIA
Phone : 91-0451-2452571 |
Plot No.9 Jeyaram Nagar Ambathurai Gandhigram - 624 302
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E-mail pbalgri@yahoo.co.in
Web www.geocities.com/pbalgri
Academic qualifications
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Class |
Subject |
Class |
University |
Year |
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MCA |
Computer Science and Applications |
First |
Madurai Kamaraj University |
2000-2002 |
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PGDCA |
Computer Science and Applications |
First |
Madurai Kamaraj University |
1999-2000 |
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Ph.D |
Mathematics Specialization : Control Theory |
Awarded |
Bharathiar University University Department
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1990-1993 |
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M.Phil |
Mathematics Specialization : Control Theory |
First |
Bharathiar University University Department |
1989-1990 |
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M.Sc |
Mathematics
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First |
Bharathiar University Gobi Atrs College |
1987-1989
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B.Sc |
Mathematics |
First |
Bharathiar University Gobi Atrs College |
1984-1987 |
Teaching Experience : 11 Years
Field of Specialization : Control Theory, Differential Equations,
Stochastic Control Systems, Fuzzy set theory
and Neural Network.
List of articles published
K. Balachandran and P. Balasubramaniam, A note on controllability of nonlinear Volterra integrodifferential systems, Kybernetika, Vol.28, No.4, 1992, pp. 284 -291.
K. Murugesan and P. Balasubramaniam, A note on analysis of second order multivariable linear systems, Advances in Modelling & Simulation, Vol.30, No.4, 1992, pp. 29 -33.
K. Balachandran and P. Balasubramaniam, Controllability of nonlinear perturbed systems to affine manifolds, Indian Journal of Pure and Applied Mathematics, Vol.24, No.3, 1993, pp. 165 -172.
K. Balachandran and P. Balasubramaniam, Null controllability of nonlinear perturbations of linear systems, Dynamic Systems and Applications, Vol.2, 1993, pp. 47-60.
K. Balachandran and P. Balasubramaniam, A note on controllability of neutral Volterra integrodifferential systems, Journal of Applied Mathematics and Stochastic Analysis, Vol.6, No.2, 1993, pp 153-160.
K. Balachandran and P. Balasubramaniam, Controllability of nonlinear neutral Volterra integrodifferential systems, Journal of Australian Mathematical Society, Ser.B, Vol.36, Part 1, 1994, pp. 107-116.
J. P. Dauer and K. Balachandran and P. Balasubramaniam, Asymptotic null controllability of nonlinear perturbed systems, Journal of Optimization Theory and Applications, Vol.83, No.1, 1994, pp. 167-179.
K. Balachandran and P. Balasubramaniam, Controllability of semilinear delay systems, Kybernetika, Vol. 30, No.5, 1994, pp. 517-524.
K. Balachandran, J. P. Dauer and P. Balasubramaniam, Controllability of nonlinear integrodifferential systems in Banach space, Journal of Optimization Theory and Applications, Vol.84, No.1, 1995, pp. 83-91.
K. Balachandran and P. Balasubramaniam, Uniform asymptotic stability for perturbed delay-differential equations, Indian Journal of Pure and Applied Mathematics, Vol.26, No.12, 1995, pp. 1143-1147.
K. Balachandran, P. Balasubramaniam and J. P. Dauer, Controllability of quasi -linear delay systems in Banach spaces, Optimal Control Applications & Methods, Vol.16, 1995, pp. 283-290.
K. Balachandran, P. Balasubramaniam and J. P. Dauer, Local null controllability of nonlinear functional differential systems in Banach space, Journal of Optimization Theory and Applications, Vol. 88, No.1, 1996, pp. 61-75.
K. Balachandran, J. P. Dauer and P. Balasubramaniam, Controllability of semilinear integrodifferential systems in Banach spaces, Journal of Mathematical Systems, Estimation and Control, Vol. 6, No. 4, 1996, pp. 477-480.
J. P. Dauer and P. Balasubramaniam, Null controllability of semilinear integro- differential systems in Banach space, Applied Mathematics Letters, Vol. 10, No.6, 1997, pp. 117-123.
P. Balasubramaniam and M. Chandrasekaran, Existence of solutions of nonlinear integrodifferential equation with nonlocal boundary conditions in Banach space, Atti del Seminario Matematico e Fisico dell’ Università di Modena, Vol. XLVI, 1998, pp.1-13.
P. Balasubramaniam and C. Loganathan, Nonlocal controllability of nonlinear integrodifferential systems in Banach space, Mathematical Forum, Vol. XII 1998, pp. 19-30.
P. Balasubramaniam and C. Loganathan, Null controllability of nonlinear large-scale neutral systems, Mathematical Forum, Vol. XII, 1998, pp. 44-56.
P. Balasubramaniam and C. Loganathan, Nonlocal controllability of integrodifferential equations in Banach spaces, Advances in Modelling & Analysis, Vol.37, Nos.1-2, 2000, pp. 51-59.
P. Balasubramaniam and J. P. Dauer, Weak controllability of second order semilinear Volterra integrodifferential systems in Banach space, Mathematical Forum, Vol. XIII, 1999-2000, pp. 6-15.
P. Balasubramaniam and S. K. Ntouyas, Global existence for semilinear stochastic delay evolution equations with nonlocal conditions, Soochow Journal of Mathematics, Vol. 27, No. 3, 2001, pp. 331-342.
P. Balasubramaniam, Controllability of quasilinear stochastic evolution equations in Hilbert spaces, Journal of Applied Mathematics and Stochastic Analysis, Vol. 14, No. 2, 2001, pp. 151-159.
P. Balasubramaniam and J. P. Dauer, Controllability of semilinear stochastic evolution equations in Hilbert space, Journal of Applied Mathematics and Stochastic Analysis, Vol. 14, No. 4, 2001, pp. 329 -339.
P. Balasubramaniam and S. Muralisankar, Existence and uniqueness of fuzzy solution for the nonlinear fuzzy integrodifferential equations, Applied Mathematics Letters, Vol. 14, 2001, pp. 455-462.
P. Balasubramaniam and S. Muralisankar, The variational principle of fixed point theorems in certain fuzzy topological spaces, Kybernetika, Vol. 37, No. 2, 2001, pp. 147-158.
P. Balasubramaniam, C. Loganathan and J. P. Dauer, Controllability of semilinear evolution equations with time lags, Libertas Mathematica, Vol. XXI, 2001, pp. 53 - 60.
P. Balasubramaniam and S. Muralisankar, Existence and uniqueness of fuzzy solution for the nonlinear fuzzy neutral functional differential equation, Computers and Mathematics with Applications, Vol. 42, 2001, pp. 961-967.
P. Balasubramaniam and C. Loganathan, Controllability of neutral functional differential equations with unbounded delay in Banach space, Journal of the Indian Mathematical Society, Vol. 68, Nos. 1-4, 2001, pp.191-203.
P. Balasubramaniam, C. Loganathan and J. P. Dauer, Local controllability of functional integrodifferential equations in Banach space, Journal of Optimization Theory and Applications, Vol. 114, No. 2, 2002, pp. 273–286.
P. Balasubramaniam, Existence of solutions of functional stochastic differential inclusions, Tamkang Journal of Mathematics, Vol. 33, No.1, 2002, pp. 35-43.
P. Balasubramaniam and S. Muralisankar, Erratum to “Existence and uniqueness of a fuzzy solution for the nonlinear fuzzy neutral functional differential equation”, Computers and Mathematics with Applications, Vol. 43, 2002, pp. 1631-1632.
P. Balasubramaniam and J. P. Dauer, Controllability of semilinear stochastic delay evolution equations in Hilbert spaces, International Journal of Mathematics and Mathematical Sciences, Vol.31, No.3, 2002, 157-166.
P. Balasubramaniam, S. Muralisankar and R. P. Pant, Common fixed points of four mappings in a fuzzy metric space, The Journal of Fuzzy Mathematics, Vol. 10, No.2, 2002, pp. 379-384.
P. Balasubramaniam, Controllability for the nonlinear fuzzy neutral functional differential equation, Far East Journal of Applied Mathematics, Vol. 9, No.1, 2002, pp. 31-48.
S. Muralisankar and P. Balasubramaniam and J. Y. Park, Common fixed points for noncompatible mappings in fuzzy metric space, The Journal of Fuzzy Mathematics, Vol. 10, No.2, 2002, pp. 00-00(in press).
P. Balasubramaniam, Existence of a solution of a nonlinear integrodifferential equation with an implicit derivative, Atti del Seminario Matematico e Fisico dell’ Università di Modena (to appear).
P. Balasubramaniam and S. K. Ntouyas, Global existence for semilinear stochastic evolution equations with nonsocial conditions, Engineering Simulation (to appear).
Paper Presented in Conferences/Symposia and Short Term Visiting Periods
Controllability of nonlinear perturbations of Volterra integrodifferential systems, Paper presented at the international conference on Vistas in Modern Applied Mathematics held at Goa University from 13th to 16th Dec. 1993.
Participated in the Indo-French conference on mathematical methods for partial differential equations, IISc-TIFR Mathematics Programme held at Indian Institute of Science, Bangalore from June 27 – July 1, 1994.
Stable of Fuzzy Control of nonlinear systems, Accepted for publication in the International Conference proceedings on Artificial Intelligence (ICAI ‘99), South Africa.
Visited Pusan National University, Pusan, South Korea for the period of three month from June 2001 to Aug. 2001 under Korea Science and Engineering Fellowship (KOSEF).
Delivered a lecture on the topic Fuzzy Control System on 11th July 2001 organized by the Department of Mathematics, University of Ulsan, Repulic of Korea.
Delivered a lecture on the topic Nonlinear Fuzzy Control System on 26th July 2001 organized by the Department of Mathematics, Dong-A University, Repulic of Korea.
Invited speaker and Chair person in the 7th international conference on Nonlinear Functional Analysis and Applications organized by Kyungnam University and Gyeongsang Nat'l University, Masan and Chinju, Korea from August 6-10, 2001. Also paper presented in the session entitled Stable Fuzzy control of perturbed linear systems on Aug. 7, 2001.
b) National Level:
Controllability of second order linear systems, Paper presented at one day Symposium on Advances in Mathematics, held at IIT Madras on 20th Dec. 1991.
Controllability of neutral functional differential equations, Proceedings of the 80th Session of the Indian Science Congress, Goa, 1993.
Attended a IISc-TIFR Summer School from 28.06.1993 to 16.07.1993 (19 days) on Geometric Measure Theory and Second Order Partial Differential Equations attended at IISc, Bangalore.
Controllability of integrodifferential equations from heat conduction and Viscoelasticity in Banach space, Paper presented at one day Symposium on Mathematical Methods and Applications held at IIT Madras on 23rd Dec. 1994.
Availed a Short term visiting programme from 8-05-1998 to 22-05-1998 (15 days) to Tata Institute of Fundamental Research (TIFR) and IISc, Bangalore.
Participated in the 36th Orientation Programme of the Academic Staff College held at Bharathiar University, Coimbatore from 29-04-1999 to 26-05-1999 (28 days).
Nonlocal Controllability of semilinear evolution equations in Banach space, Paper presented at one day Symposium on Mathematical Methods and Applications, held at IIT Madras on 22nd Dec. 1999.
Stable of Fuzzy Control of Nonlinear System, Paper presented at the National Seminar on Recent Development in Applied Mathematics, held at Bharathiar University, Coimbatore from 24 –25th Feb. 2000.
Delivered a lecture on the topic FUZZY CONTROL for AICTE-ISTE short term course on Fuzzy Sets and Fuzzy Logic on 20th Nov. 2000 organized by the Department of Mathematics, Kongu Engineering College, Perundurai, Erode.
Participated and Presented a paper entitled “Common fixed point theorems on expansion mappings in fuzzy metric space” in National symposium on Mathematical Methods and its Applications held at Indian Institute of Technology (IIT), Chennai on 22nd December 2001.
Participated and Presented a paper entitled “ Stable fuzzy control of multi-input and multi-output (mimo) perturbed linear systems” in National Conference on Mathematical and Computational Models held at PSG College of Technology, Coimbatore on 27-28th December 2001.
Delivered an address for both P. G. and U. G students of Mathematics, Jayaraj Annapackiam College for Women on 28-8-2002 in the topic of Fuzzy Sets.
Delivered a guest lecture entitled Fuzzy Control System in the Workshop on Applications of Mathematics in Engineering and Technology on 6th Sept. 2002 held at PSNA College of Engg. & Tech., Dindigul.
Membership in professional bodies
American Mathematics society, U.S.A.
Society for Industrial and Applied Mathematics (SIAM), U.S.A.
Board of studies in Mathematics for Gobi Arts & Science College (Autonomous) Gobichettipalayam affiliated to Bharathiar University, Coimbatore.
Board of studies of Department of Mathematics of Gandhigram Rural Institute, Deemed University, Gandhigram.
Academic Council of Gandhigram Rural Institute, Deemed University, Gandhigram.
Membership in academic bodies
No. of Ph. D Guided : 2
No. of Ph.D Guiding : 3