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Control theory - Wikipedia

Optimal control problem. Existence of solution. Elements of symplectic geometry and Pontryagin Maximum Principle. Some model optimal control problems: a particle on the line, oscillator, Markov—Dubins and Euler interpolation problems. Fields of extremals and sufficient optimality conditions.

Optimal cost: Hamilton—Jacobi—Bellmann equation. Second variation, conjugate points and Jacobi equation. Singular extremals: Goh and generalized Legendre conditions. The chattering phenomenon.

Mathematical Control Theory with a special session in honor of Gianna Stefani

Curvature of optimal control problems. Reference: A. All Languages.

Mathematical Control & Related Fields

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