Consider the linear time-invariant system described by the state and output equations -1 0 0 i(t) = 0 -1 0 X(t) + 1 u(t)

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Consider The Linear Time Invariant System Described By The State And Output Equations 1 0 0 I T 0 1 0 X T 1 U T 1 (34.07 KiB) Viewed 22 times

Consider the linear time-invariant system described by the state and output equations -1 0 0 i(t) = 0 -1 0 X(t) + 1 u(t) ; t20 0 0 -2 = rངས་ L4 y(t) = [-1 2 3]x(t) (a) Is the system stable? (b) Find the transfer function description of the system (c) Find the state response x(t) when the initial state is x(0) = [1 2 1]and the input u(t) is a unit step function at t = 0 (u(t) = 0 for t <0 and u(t) = 1 for t > 0). (d) Write a Matlab script that can plot the x(t) under the conditions listed in (c).