Books

1. Ordinary Differential Equations: Principles and Applications, Cambridge University Press, UK, 2017(with A.K. Nandakumaran, P.S. Datti).

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.

1. Delivered a talk in the workshop Open source Tools for Academic Activities on “GNU Octave” organized by Rajagiri School of Engineering and Technology, on 23rd February 2013.
2. Delivered a talk in the National Seminar on “Mathematics in Space Technology” in Little Flower College on 14th February 2013.
3. Delivered a talk on “Nonlinear Differential Equations and Linearization Techniques” at Gandhigram Rural University, Gandhigram on 4th January 2013.
4. Chaired a Discussion Meeting on Formation of a Forum on Control and Inverse Problems in the “ICTS Winter School on Stochastic Analysis and Control of Fluid Flow”, on 14th December 2012, IISER Trivandrum.
5. Participated in the “Indo-European Modelling” Week at M.S University of Baroda as a resource person in the DST Sponsored NPDE (National Programme for Differential Equations – Theory, Applications and Computation) during 5th to 7th December 2012.
6. Delivered a series of lectures on “Controllability of Linear Systems” in the workshop on Mathematical Theory of Control and Numerics (MTCN) during 21st November – 30th November 2012.
7. Delivered a series of lectures on “Differential Equations” in the NPDE-TCA (National Programme on Differential Equations: Theory, Computation and Applications) from                  14th May – 18thMay, 2012. IMA, Bhubaneshar.
8. Delivered a lecture on “Transition Matrix Technique for the Computation of Steering Controls in Artificial Satellite” in National Conference on Applied Mathematics (INCAM-2012) from 4th May-5th May, 2012, Parul Institute of Engineering and Technology, Baroda.
9. Delivered a Talk on “Importance of Mathematics for +2 students in science streams for choosing their career” at Sarvodaya Central School, Nalanchira, Trivandrum, 26th March 2012.
10. Delivered an Invited Talk on “Using MATLAB for Mathematical Problem Solving” in the Two-Day Seminar on Computation and Programming, University College, Trivandrum, 23rd -24th March 2012.
11. Delivered a Talk on MATLAB for at Darshana Book Exhibition on behalf of National year of Mathematics, Kottayam, 1st February, 2012.
12. Delivered series of  lectures on “C0-Semigroup operators for Control Systems ” at IISc, Bangalore on  23rd January to 27th January, 2012.
13. Delivered a talk on “Optimal Control of Dynamical Systems” 56th congress of the Indian Society of Theoretical and Applied Mechanism (ISTAM) at NIT Surat from 19th to 21st December, 2011.
14. Delivered a lecture in the DST sponsored INSPIRE Programme, at SVNIT, Surat on 26th August, 2011.
15. “Application of differential equations to Control theory”, A refresher course in Mathematics, Academic Staff College, May 18, 2010.
16. “Dynamical Systems described by Differential Equations”, 75th annual conference (Platinum Jubilee), of the Indian Mathematicians, The Kalasalingam University, Anand Nagar, Dec 27-30, 2009.
17. “Control of Artificial Satellites”, Trivandrum, Kerala, Dec 28-29, 2009.
18. “Finite Dimensional Controllability Theory”, Workshop on PDE and Related Analysis, Department of Mathematics, Indian Institute of Science, Bangalore, Sept 07-11, 2009.
19. “Basics of Matlab”, Workshop on Matlab and Simulink for VSSC Scientist, IIST Thiruvananthapuram, July 07-10, 2009.
20. Introduction to Neural Networks, Invited Talk, Department of Physics, University of Kerala, Kariyavattom, April 23, 2009.
21. “Differential Equations and its Applications to Control Theory”, Invited Talk, Scott Christian College, Nagercoil, April 03, 2009.
22. Delivered two invited lectures on Matlab in the AICTE sponsored Staff Development Programme on “Applications of Mathematical Sciences and Soft Computing” held at Mathematics Section of AS & H Department, SVNIT, Surat, Dec 8-12, 2008.
23. Delivered a talk on “Solvability of System of Equations Ax=b by using Generalized Inverse”, in the annual meeting and memorial talk to commemorate the late Prof. K. N. G. Unnithan, D.B.college, Sasthamcotta, Nov 6th, 2008.
24. Delivered a talk on “Theory of Control – A functional Analytic Approach”, in the National Seminar on Functional Analysis held at the D.B.Pampa College, Parumala, Thiruvalla, Sept 25-27, 2008.
25. Delivered three lectures on “Introduction to maple and solutions of Differential equations by using Maple” at the department of mathematics, Dr BAM University, Aurangabad, Mar 13-15, 2008.
26. Delivered an invited talk on “Diffrential Equations and its Applications to Controls” in the Department of mathematics, University of Calicut, Jan 8, 2008.
27. 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.
28. Delivered a talk on “Controllability of nonlinear diffusion system using zonal controls” in the Indo-French video conference at IISc, Bangalore, Oct 25-26, 2007.
29. 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.
30. Visited the University of Texas at Austin, Austin, USA, and had research discussion meeting in June, 2002.
31. Visited the University of Delaware, Delaware, USA, in June 2002 and gave a talk on ‘Nonlinear controllability Problems’.
32. Visited the State University of New York at Buffalo, USA, in June , 2002 and gave a talk on ‘the Dynamics of Nonlinear Control Systems’.
33. 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.
34. 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.
35. 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.
36. 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.

Courses

1. B.Tech          Applied  Mathematics   Calculus of Variations
2. M.Tech         Artificial Neural Networks
3. PhD  Level Courses :   Mathematical Theory  of Control

Assignment : MA221 – Calculus of Variations (IV Semester)

Date of Submission : 25th March 2014

Lecture Notes – 1 :  Calculus of Variations

This Odd Semester (July-Octber, 2015), I am teaching  the MTech Course

" Mathematics for Control Theory"

The course involves:

1. Advanced Linear Algebra

2. Normed Linear Spaces

4. Operators on Normed Linear Spaces

5. Hilbert Spaces

6. Controllability and Observability - Operator Theoretic Approach

7. Generalized Inverses abd computation of steerring controls for linear systems.

References:

1. R W Brocket : Linear Control Systems

2. S D Sontag: Mathematical Theory of Control