Consider a causal second-order system with the transfer function G(s) = 1 1+2s+s² with a unit-step R(s): as an input. Let C(s) be the corresponding output. The time S taken by the system output c(t) to reach 94% of its steady-state value lim c(t), rounded t→∞⁰ off to two decimal places, is (a) 5.25 (c) 2.81 (b) 4.50 (d) 3.89

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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Consider a causal second-order system with the transfer function
1
G(s) =
1+2s+s²
1
with a unit-step R(s) = as an input. Let C(s) be the corresponding output. The time
S
taken by the system output c(t) to reach 94% of its steady-state value lim c(t), rounded
t→∞o
off to two decimal places, is
(a) 5.25
(c) 2.81
(b) 4.50
(d) 3.89
Transcribed Image Text:Consider a causal second-order system with the transfer function 1 G(s) = 1+2s+s² 1 with a unit-step R(s) = as an input. Let C(s) be the corresponding output. The time S taken by the system output c(t) to reach 94% of its steady-state value lim c(t), rounded t→∞o off to two decimal places, is (a) 5.25 (c) 2.81 (b) 4.50 (d) 3.89
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