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A Factorization Approach For Solving The Hamilton-Jacobi Equations In Nonlinear Optimal Control, Mohammad Dikko Aliyu
A Factorization Approach For Solving The Hamilton-Jacobi Equations In Nonlinear Optimal Control, Mohammad Dikko Aliyu
LSU Doctoral Dissertations
The Hamilton-Jacobi equation (HJE) arose early in the last century in the study of the calculus of variation, classical mechanics and Hamiltonian systems. Recently, there has been a renewed interest in HJEs arising in various analysis and synthesis problems in systems theory. The HJE despite providing a necessary and sufficient condition for an optimal control, is very difficult to solve for general nonlinear systems, and therefore its application remained limited to linear systems. Yet, the HJE has been studied extensively in the literature from diverse areas of science and engineering, varying from mathematical physics, to mechanics, control theory, and to …