# Tag Info

### What are systematic ways of approximating a non-smooth (non-continuously differentiable) system dynamic to be n-smooth?

Two systematic ways of smoothing a function $h$ would be: 1. Join the piecewise smooth parts of your function using Hermite interpolation so that the derivatives are matched to your satisfaction. 2. ...
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Accepted

### zero terminal value of the adjoint based optimal control

You won't like the answer, but it is in fact "This lies in the right functional-analytic framework" — which you have not given! In particular, you did not specify in which function space you are ...
Accepted

### Algorithms for radiation treatment planning

This problem is actually more of an optimal control problem for a partial differential equation. As a starting point, I would recommend the following books: F. Tröltzsch, Optimal control of partial ...

### Discrete-time Algebraic Riccati Equation (DARE) solver in C++

If you want a ten-line solution that is decently fast and stable, you can implement yourself the structured doubling algorithm: set up the coupled iteration $A_0 = A, G_0 = G = BR^{-1}B^T, H_0 = Q$ ...
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### Solving numerically an Optimal Control Problem subject to a conservation law (transport equation)

From your comment, it seems like you might want to do some reading about variational calculus and PDE-constrained optimization. Briefly, let's suppose that the solution $\rho$ of the PDE lives in some ...
• 8,307
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### Which optimization algorithm to max a single parameter by searching a landscape of five parameters?

I'd do the following: before your tube burns out do an automated parameter sweep of reasonable range for your 5 parameters. That should give you a rough idea of the maxima/minima involved, and which ...
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