August 2013

Gain scheduled particle swarm optimization based internal model control for tank level system

  The proposed work attempts gain scheduled particle swarm optimization (PSO) based internal model control (IMC) for tank level process. IMC requires determining a single parameter l, the filter constant.  Optimal value of the filter constant is determined using PSO, an evolutionary technique. The tank process is nonlinear in nature. Model and inverse model are found for each linear region separately...

Author(s): U.Sabura Banu and B. Balan

August 2013

Age and space structured tumour invasion: A theoretical mathematical formulation

  In this article, the mathematical model used originally proposed by Bruce and co-workers was reviewed and extended. By assuming spherical symmetry of tumour, there were mathematical expressions in the form of partial differential equations along with some suitable conditions for density of proliferating tumor cells, quiescent tumor cells, surrounding tissue macromolecule (MM) and concentration of matrix...

Author(s): Shashi Kant

August 2013

A theoretical and experimental study of the Broyden-Fletcher-Goldfarb-Shano (BFGS) update

  This paper discusses theoretically the evolution of a conjugate direction algorithm for minimizing an arbitrary nonlinear, non quadratic function using Broyden-Fletcher-Goldfarb-Shano (BFGS) update in quasi-Newton Method. The updating rule is initialized by a Moore Penrose’s generalized inverse. Specifically, an approximation to the inverse Hessian is constructed and the updating rule for this...

Author(s): T. A. Adewale and B. I. Oruh