hw5extra

hw5extra - x ( t ) = a ( t ) x ( t ).) ind a specic example...

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EE263 Prof. S. Boyd EE263 homework 5 additional exercise 1. Scalar time-varying linear dynamical system. Show that the solution of ˙ x ( t )= a ( t ) x ( t ), where x ( t ) R , is given by x ( t ) = exp ± ² t 0 a ( τ ) ³ x (0) . (You can just diFerentiate this expression, and show that it satis±es ˙
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Unformatted text preview: x ( t ) = a ( t ) x ( t ).) ind a specic example showing that the analogous formula does not hold when x ( t ) R n , with n > 1. 1...
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This note was uploaded on 01/25/2012 for the course EE 263 taught by Professor Boyd,s during the Spring '08 term at Stanford.

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