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Consider the system; В ß 2a-2ß x = 0 1 2x + [-2] α y = [3 1x a. For what values of a and ß is the system asymptotically stable? b. Let a = -1, for what values of ß is the system marginally stable (stable in the sense of Lyapunov)? c. Let a = 0, for what values of ß is the system marginally stable (stable in the sense of Lyapunov)? d. Let a = 1, for what values of ß, if any, is the system BIBO stable?

Consider the system; В ß 2a-2ß x = 0 1 2x + [-2] α y = [3 1x a. For what values of a and ß is the system asymptotically stable? b. Let a = -1, for what values of ß is the system marginally stable (stable in the sense of Lyapunov)? c. Let a = 0, for what values of ß is the system marginally stable (stable in the sense of Lyapunov)? d. Let a = 1, for what values of ß, if any, is the system BIBO stable?

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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Consider the system; В 2a-20 x = y = [3 a. b. Note: 1]x For what values of a and ß is the system asymptotically stable? Let a = -1, for what values of ß is the system marginally stable (stable in the sense of Lyapunov)? c. Let a = 0, for what values of ß is the system marginally stable (stable in the sense of Lyapunov)? d. Let a = 1, for what values of ß, if any, is the system BIBO stable? a 0 "]x+[-2]" a C b d = d 1 ad-bc-c -b a
Transcribed Image Text:Consider the system; В 2a-20 x = y = [3 a. b. Note: 1]x For what values of a and ß is the system asymptotically stable? Let a = -1, for what values of ß is the system marginally stable (stable in the sense of Lyapunov)? c. Let a = 0, for what values of ß is the system marginally stable (stable in the sense of Lyapunov)? d. Let a = 1, for what values of ß, if any, is the system BIBO stable? a 0 "]x+[-2]" a C b d = d 1 ad-bc-c -b a
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