In optimal control theory, while minimizing the energy of a say mobile robot, the expression for the cost functional is generally $u.u^T$ where $u$ is the control vector. I searched why the energy term is defined the way it is but couldn't find any answer. Can anyone please explain why it is defined like this?
2026-02-23 06:36:24.1771828584
Why is the energy cost functional mostly defined as $u.u^T$?
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