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Results tagged with oc.optimization-and-control
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user 110094
Operations research, linear programming, control theory, systems theory, optimal control, game theory
4
votes
1
answer
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Controlling subsolutions of a second order linear ODE
Let $f:[0,\infty) \to \mathbb{R}$ obey the differential inequality
$$f'' - 2\alpha f' + 2\alpha f \leq 0$$
where $0 < \alpha < 2$ is some constant. If $f(0) = 0$ and $f'(0) = 1$, can I say that $f(x) …
- 205
0
votes
Controlling solutions of a second order linear differential inequality
Wow, thank you for this detailed solution.
I have a questions about case 1. You say $r'(x)=p_j(r(x)) = \rho_j^{-1}(r(x))$ where $\rho_j=r|_{I_j}$.
In other words, if we restrict our attention to $I_ …
- 205