Inverse Parametric Optimization With an Application to Hybrid System Control


We gift a range of results on inverse parametric optimization and its application to hybrid system management. We tend to show that any operate that may be written because the distinction of 2 convex functions will conjointly be written as a linear mapping of the answer to a convex parametric optimization downside. We have a tendency to exploit these leads to application to the control of systems with piecewise affine dynamics, and show that it is doable to model such systems as optimizing processes. Optimal management issues for such systems can be reworked as bilevel optimization problems and solved with existing techniques.

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