Proceedings of the Third Asian Mathematical Conference 2000 : University of the Philippines, Diliman, Philippines, 23-27 October 2000

The book gives a novel treatment of recent advances on constrained control problems of discrete processes. The new proposed approach provides the right setting for the study of qualitative properties of general types of dynamical systems in both discrete-time and continuous-time systems with possible applications to some control engineering models. Most of the material appears for the first time in a book form. The book is addressed to advanced students, postgraduate students and researchers interested in control system theory and optimal control On one-phase stefan problems for sublinear heat equations, T. Aiki et al; a vertex partitioning of a graph, Sergio R. Canoy Jr et al; generation of nafil loops of small order, R.E. Cawagas; multiplier problems, C. Datry and G. Muraz; shadows of codes and lattices, S.T. Dougherty and P. Sole; empirical pseudorandom number generators, K. Gargar; local stability analysis for a model of AIDS transmission, M.E.V. Jacinto; timetabling highly constrained system via genetic algorithms, H.S.C. Lee and A.Y. Hermosilla; a deceptive game with modified information, K.T. Lee; homogeneous extensions of shifts with holder continuous skewing functions, M.S.M. Noorani; the Abelian index of finite groups, K.K. Nwabueze et al; wave blocking in parallel coupled nerve fibres, M. Rodrigo et al; attainability of a two-characteristic manpower structure including demotion, A. Srinivasan and P. Mariappan; bounds on doubling rates of investment capital due to incorrect distributions, C.P. Tan; finding the span of graphs using small circle unit representations, J.A. Uy. (Part contents) This proceedings volume contains 55 research and expository articles on a wide range of currently active and interesting areas in pure and applied mathematics. The research articles report on the current research accomplishments and the significance of the results. Every expository article aims to make the subject interesting by including the state of the subject, description and motivation of the problems, the relevance of the results, and open problems for future research directions. This book serves as a good reference not only for researchers but also for graduate students.