Explain, with reasons, whether the LTIC systems described by the following equations are (i) stable or unstable in the BIBO sense; (ii) asymptotically stable, unstable, or marginally stable. Assume that the systems are controllable and observable. a. (D2 + 8D + 12)y(t) = (D − 1)x(t) b. D(D2 + 3D + 2)y(t) = (D + 5)x(t) c. D2 (D2 + 2)y(t) = x(t)
Explain, with reasons, whether the LTIC systems described by the following equations are (i) stable or unstable in the BIBO sense; (ii) asymptotically stable, unstable, or marginally stable. Assume that the systems are controllable and observable. a. (D2 + 8D + 12)y(t) = (D − 1)x(t) b. D(D2 + 3D + 2)y(t) = (D + 5)x(t) c. D2 (D2 + 2)y(t) = x(t)
Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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) Explain, with reasons, whether the LTIC systems described by the following equations are (i) stable or
unstable in the BIBO sense; (ii) asymptotically stable, unstable, or marginally stable. Assume that the systems
are controllable and observable.
a. (D2 + 8D + 12)y(t) = (D − 1)x(t)
b. D(D2 + 3D + 2)y(t) = (D + 5)x(t)
c. D2
(D2 + 2)y(t) = x(t)
d. (D + 1)(D2 − 6D + 5)y(t) = (3D + 1)x(t)
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