just had a question regarding a system of capacitors. Its from the EE263 Introduction to Linear Dynamical Systems, Stanford University, 2008 Prof Boyd.

circuit If I have the step response and eigenvalues of the system, as shown above, is it possible to calculate the input voltage required to ensure the voltage across a specific capacitor, say C4, is equal to 1V at 0.5 seconds for example?

I understand how to do this with a single capacitor, however when it comes to multiple I get a bit stuck. Would it be similar to, Vpref = Vin(1-exp(eig4) + other exponents)? Thanks.


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