A control operator and some of its applications
M. A. Ibiejugba,P. Onumanyi +1 more
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In this article, a control operator associated with optimal control problems was constructed and an extended conjugate gradient method algorithm for solving this family of problems was proposed. And the establishment of some functional inequalities which were obtained using the knowledge of the control operator was discussed.About:
This article is published in Journal of Mathematical Analysis and Applications.The article was published on 1984-10-15 and is currently open access. It has received 35 citations till now. The article focuses on the topics: Nonlinear conjugate gradient method & Gradient method.read more
Citations
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A penalty optimization technique for a class of regulator problems, part 3
M. A. Ibiejugba,J. E. Rubio +1 more
TL;DR: There is a noticeable improvement in the accuracy of the solutions obtained through the ECGM algorithm over those obtained via the averaging approximation principles developed by Banks and Burns (Ref. 3).
Control Operator for the Two-Dimensional Energized Wave Equation
Victor O. Waziri,Sunday A. Reju +1 more
TL;DR: Waziri et al. as mentioned in this paper studied the analytical model for the construction of the two-dimensional Energized wave equation, where the control operator is given in terms of space and time t independent variables.
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On Quasi-Newton Method for Solving Unconstrained Optimization Problems
TL;DR: The Quasi-Newton method algorithm was tested on some benced mark problems with the results compared with the Conjugate Gradient Method as mentioned in this paper and the results obtained using the QuasiNewton Method compared favourably with results of existing CGM algorithm.
Analytic and Numeric Solutions of Discretized Constrained Optimal Control Problem with Vector and Matrix Coefficients
O. Olotu,Adeshina I. Adekunle +1 more
TL;DR: In this paper, the analytic and numeric solutions of general continuous linear quadratic optimal control problem are presented and the associated general Riccati differential equation is solved by numerical-analytical approach using variational iteration method.
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Optimal control of the wave propagation problem with the Extended Conjugate Gradient Method
TL;DR: An optimal control problem subject to the wave propagation equation is solved, employing the Extended Conjugate Gradient Method (ECGM) and new optimal state and control solutions were obtained with their surface plots.
References
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Journal ArticleDOI
Methods of Conjugate Gradients for Solving Linear Systems
TL;DR: An iterative algorithm is given for solving a system Ax=k of n linear equations in n unknowns and it is shown that this method is a special case of a very general method which also includes Gaussian elimination.
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The conjugate gradient method for optimal control problems
TL;DR: In this article, the authors extended the conjugate gradient minimization method of Fletcher and Reeves to optimal control problems, which is directly applicable only to unconstrained problems; if terminal conditions and inequality constraints are present, the problem must be converted to a non-constrained form; e.g., by penalty functions.