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Determine for which of the following matrices M the zero state is a stable equilibrium of the dynamical system x(t+1) = Mx(t). [0.2 0 -0.2 A.M= 0 0.2 0 0.1 0 0.1 0 B. M = 2 0 C. M = 0 -0.4 0.4 0.4 0.4 D. M = 0.4 0.4 0.4 0.4 0.4 0.4 -7 E.M= 0 0.9 -5 0.1 F.M= -0.1 -5 0.3

Determine for which of the following matrices M the zero state is a stable equilibrium of the dynamical system x(t+1) = Mx(t). [0.2 0 -0.2 A.M= 0 0.2 0 0.1 0 0.1 0 B. M = 2 0 C. M = 0 -0.4 0.4 0.4 0.4 D. M = 0.4 0.4 0.4 0.4 0.4 0.4 -7 E.M= 0 0.9 -5 0.1 F.M= -0.1 -5 0.3

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Determine for which of the following matrices M the zero state is a stable equilibrium of the dynamical system x(t+1)= Mx(t). [0.2 0 -0.2 A. M= 0 0 0.1 0.1 0 -0.2 B. M = 2 0.3 C. M = 0 0.4 D. M = 0.4 E.M= F.M= 0.2 0 -0.2] -0.4] 0.4 0.4 0.4 0.4 0.4 0.4 0.4 -7 0 0 0.9 -5 0.1 -0.1 -5
Transcribed Image Text:Determine for which of the following matrices M the zero state is a stable equilibrium of the dynamical system x(t+1)= Mx(t). [0.2 0 -0.2 A. M= 0 0 0.1 0.1 0 -0.2 B. M = 2 0.3 C. M = 0 0.4 D. M = 0.4 E.M= F.M= 0.2 0 -0.2] -0.4] 0.4 0.4 0.4 0.4 0.4 0.4 0.4 -7 0 0 0.9 -5 0.1 -0.1 -5
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