Linear, Time-Varying, System
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a) Show that the linear, time varying system
x =A(t)x
is asymptotically stable if
xT A(t)x < - ε
for all x ≠ 0 and all t ≥ 0 and some ε > 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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