Browsing by Author "Rauf, K.,"
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Item Control Derivative to Optimal Analysis(Nigerian Association of Mathematical Physics, 2009) Omolehin, J.O.,; Rauf, K.,; Ajisope, M.O.,; Mabayoje, M.A.; Asaju, L.BOptimal control theory, generally, is to determine the control signals which will cause a process to satisfy the physical constraints and at the same time optimize some performance criterion. In this work, a numerical method for finding solution to linear optimal control problems with bounded constraints is examined. This method applied is based on Legendre series of parameterization of both the state and the control variables involving a derivativeItem Convergence Rate Analysis of a Proposed Function Space Algorithm (FSA)(Faculty of Physical Sciences, University of Ilorin, 2014) Omolehin, J. O.,; Rauf, K.,; Mabayoje, M. A.,; Arowolo, O. T.; Lukuman, A.Abstract In this work, the numerical implementation of Function Space Algorithms (FSA) for the solution of quadratic continuous cost functional was considered. It is used to solve Reaction Diffusion Control problems. It considered specifically a parabolic problem characterized by dynamics constraints and the results obtained analyzed. The cumbersome nature of the line search techniques associated with FSA was addressed by time discretization approach. It is shown that the convergence rate of FSA improves as the penalty parameter grows.