The forum discussion centers on optimal control theory, specifically addressing the derivation of equations related to Hamiltonian mechanics. The first equation presented is ##\dot{\lambda}=-H_{x}##, which requires division by two ##(3x^2+u^2)## for accuracy. Additionally, the second equation, ##u=-\lambda##, is questioned regarding its derivation. The discussion highlights the necessary condition for optimal control input, expressed as $$\frac{\partial H}{\partial u}=0$$, which is critical for understanding optimality conditions in control systems.
PREREQUISITESStudents and professionals in engineering, particularly those focusing on control systems, as well as researchers interested in optimal control theory and Hamiltonian mechanics.
There are two optimality conditions and one of them is a necessary condition for the optimal control input $$ \frac{\partial H}{\partial u}=0 $$.mad mathematician said:
Yeah, I know that. Forgot to reply that I found my answer... I hope to get a good grade in this course.Gavran said:
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