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  • 12:01, 24 November 2025 RobertLampel talk contribs created page Robbins (Created page with "{{Dimensions |nd = 1 |nx = 3 |nw = 1 }} The '''Robbins problem''' is a classical benchmark in optimal control. This description is taken from [1]. == Mathematical formulation == <p> <math> \begin{array}{lll} \displaystyle \min_{u} && \int_0^T (\alpha \cdot x_1(t) + \beta \cdot x_1(t)^2 + \gamma \cdot u(t)^2) \\ \text{subject to} \\ \quad \dot{x_1}(t) & = & x_2(t)),\\ \quad \dot{x_2}(t) & = & x_3(t), \\ \quad \dot{x_3}(t) & = & u(t),...")