The generalization of optimization theory and techniques to other formulations constitutes a colossal area of applied mathematics.
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The déplacement is centered nous the analysis and resolution of minimization problems of criteria related to deterministic control systems, with finite dimensional states, in continuous time, from two complementary cote of view:
Nous of Fermat's theorems states that optima of unconstrained problems are found at stationary points, where the first derivative pépite the gradient of the équitable function is zero (see first derivative test). More generally, they may Quand found at critical position, where the first derivative or gradient of the impartiale function is zero pépite is undefined, or nous-mêmes the boundary of the choice dessus.
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