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Operations research, linear programming, control theory, systems theory, optimal control, game theory

2 votes
0 answers
392 views

LQR solution when there are linear terms in the cost function?

I am trying to solve the following Bellman Equation: $V(s) =\max_u \left[a'u - (u-s)'Q(u-s) + V(u)\right]$ In the equation above, $s,u,a\in \mathbb R^n$, $Q\in \mathbb R^{n\times n}$ is positive sem …
gappy3000's user avatar
  • 461
4 votes
1 answer
172 views

Double calculus of variations [closed]

A standard formulation of the one-dimensional variational problem is to find necessary and sufficient conditions for the functional $x:\mathbb R\rightarrow \mathbb R$ that minimizes $ \int_0^1 L[t, …
gappy3000's user avatar
  • 461