Hand written plz asap i'll upvote 2.Using Lyapunov stability analysis, check if the following system isasymptotically stable.01x(1) = 00-101 x(1).3-3

xt=Mxt. M=010001-1-3-3∴M-λI=-λ100-λ1-1-3-3-λ⇒λ+13=0⇒ λ=-1 Therefore xt is a function of…

Answered: 2. Using Lyapunov stability analysis,…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 19RE

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Consider a dynamical system given by Xn+1 ,which one of the following is X11? X11 = X11 = X11 = X11 = [a(1.09)” b(0.91)" [a(0.91)¹1 [b(1.09)¹¹ [a(1.09)11- b(0.91)11 [a(0.91)n [6(1.09)" = [0.91 0 0 1.09 Xn. Assuming that x = a [9]
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2. Using Lyapunov stability analysis, check if the following system is asymptotically stable. 0 1 x(1) = 0 0 -1 -3 -3 0 1 x(1).