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7. Consider the (causal) state-space model dv(t) Av(t) + Bx(t) dt y(t) = Cv(t) + Dx(t) %3D where A = 13 3, B = [).c = [1 -2] , D = 2 (i) Determine the transfer function H(s) of this system. (ii) Determine the zero-state response to the input x(t) = u(t). (iii)Determine the zero-input response to the initial state v(0~) =[-3 1]".

7. Consider the (causal) state-space model dv(t) Av(t) + Bx(t) dt y(t) = Cv(t) + Dx(t) %3D where A = 13 3, B = [).c = [1 -2] , D = 2 (i) Determine the transfer function H(s) of this system. (ii) Determine the zero-state response to the input x(t) = u(t). (iii)Determine the zero-input response to the initial state v(0~) =[-3 1]".

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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7. Consider the (causal) state-space model dv(t) Av(t) + Bx(t) dt y(t) = Cv(t) + Dx(t) where A = 1, B =L,c = [1 -2] , D = 2 [1 [3 (i) Determine the transfer function H(s) of this system. (ii) Determine the zero-state response to the input x(t) = u(t). (iii)Determine the zero-input response to the initial state v(0~) = [-3 1]".
Transcribed Image Text:7. Consider the (causal) state-space model dv(t) Av(t) + Bx(t) dt y(t) = Cv(t) + Dx(t) where A = 1, B =L,c = [1 -2] , D = 2 [1 [3 (i) Determine the transfer function H(s) of this system. (ii) Determine the zero-state response to the input x(t) = u(t). (iii)Determine the zero-input response to the initial state v(0~) = [-3 1]".
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