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Unformatted text preview: Problem 5: Consider the linear system d dt x t ( ) = 1 1 + t x t ( ) 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?...
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- Spring '10