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Linear, Time-Varying, System

a) Show that the linear, time varying system

x =A(t)x
is asymptotically stable if
xT A(t)x < - &#949;
for all x &#8800; 0 and all t &#8805; 0 and some &#949; > 0. Hence show that the system

-8/5+3/5sin t 1/5-1/5sin t
x = 6/5-6/5sin t -7/5+2/5sin t x

is stable

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Solution Summary

A linear, time-varying system is investigated.

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