Circuit Mechanics Analogy and Duality

by allenlu2007

 

Observation:

 

* Mechanics is governed by 

Hamiltonian

H = T + V  

dH/dp = -dp/dt

dH/dq = dq/dt

dH/dt = 0 (if no external force)

 

重點是 generalized coordinate

No topology information is needed (embedded in generalized coordinate? )

or topology is simple, just do T and V using generalized coordinate?

 

* Circuit

I and V arrays

dI/dt = A V

dV/dt = B I

KCL and KVL

and graph theory

–> duality theory  V and I exchange

 

 

*  Optimal control

 

 

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