Q1. Verikn kas the Matrix exponemtial for A=⎣⎡00−ω0000w000⎦⎤ (In which wo is a real-valued parameter) is given b-
Posted: Tue Jul 12, 2022 8:39 am
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∣∣x1(x)xh(t)∣∣=∣∣01−i−4∣∣∣∣m1(k)x2(z)∣∣+1∣31)4(t) x(x)=∣∣−11∣∣ −y=∣02)[x1(t)x2(t)∣ (6) celcolcte tha sintiezeu tranifen finticture (b) Coccuete the impola cespiou (c) colcolisin the camplete motput eefpens y (t) for a wirt Hep i-jan ingalt Conpsictr of y(2)
∣∣x1(x)xh(t)∣∣=∣∣01−i−4∣∣∣∣m1(k)x2(z)∣∣+1∣31)4(t) x(x)=∣∣−11∣∣ −y=∣02)[x1(t)x2(t)∣ (6) celcolcte tha sintiezeu tranifen finticture (b) Coccuete the impola cespiou (c) colcolisin the camplete motput eefpens y (t) for a wirt Hep i-jan ingalt Conpsictr of y(2)
Q5 A=[−2332−3]B=[30]C=[1−1]D=0 Given an unkwonn inctial cun dition x0=x(0), the response to a unt step inpros applied at t=0 is −)(t)=914e−t−941e−4t(t⩾0) Determine the nonzero initial conditun, x, that sutisfies thert ihe a boute output respoun
For the given state equation y(t)=[02][x1(t)x2(t)] a. Calculate the associated transfer function. b. Calculate the impulse response. c. Calculate the complete output response y(t) for a unit step input signal, presuming the given initial conditions. d Identify the zero-input response component of y(t) e. Identify the zero-state response component of y(t)