Which of the following system is BIBO unstable ( )A) (D²-3D+2)y(t)=x(t)C) y(t)=2x(t)"(B) h(t)=u(t+100)-u(t-100)- 100tu(t)1000(D) h(t)=e

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Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

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Which of the following system is BIBO unstable ( )
A) (D²-3D+2)y(t)=x(t)
C) y(t)=2x(t)"
(B) h(t)=u(t+100)-u(t-100)
- 100t
u(t)
1000
(D) h(t)=e

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BIBO system -Bounded-input, bounded-output (BIBO) stability is a type of stability for linear signals and systems that take inputs in signal processing, specifically control theory. If a system is BIBO stable, the output will be bounded for every bounded input to the system.

For any finite initial condition and input, a BIBO (bounded-input bounded-output) stable system is one in which the outputs remain bounded for all time. If and only if all of the system's poles have real parts less than 0, a continuous-time linear time-invariant system is BIBO stable.

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