ps 8 604 - ( ) x ( ) = x with the function V x , t ( ) = e...

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ECE 604 LINEAR SYSTEMS Problem Set #8 Issued: Thursday, December 3, 2009 Due: Thursday, December 10, 2009 Problem 1: Rugh, Problem 7.3, p. 125. Problem 2: Rugh, Problem 7.5, p. 125–126. Problem 3: Rugh, Problem 7.11, p. 127. Problem 4: Consider the linear system d dt x t ( ) = 1 1 + t x t
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Unformatted text preview: ( ) x ( ) = x with the function V x , t ( ) = e ! 3 t x 2 a) Show that d dt V x , t ( ) solutions ! " t # b) Is V x , t ( ) a Lyapunov function? Can we conclude that the system is stable? c) Is the system stable? Problem 5: Rugh, Problem 12.4, p. 214....
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