For the following system, find a Lyapunov function to show that the equilibrium at zero is stable. Also, is the origin globally asymptotically stable? İ1 = -11 +213+313

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 23EQ: 23. Consider a simple economy with just two industries: farming and manufacturing. Farming consumes...
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For the following system, find a Lyapunov function to show that the equilibrium at zero is
stable. Also, is the origin globally asymptotically stable?
-1 + 272 + 3z3
%3D
-I1
Transcribed Image Text:For the following system, find a Lyapunov function to show that the equilibrium at zero is stable. Also, is the origin globally asymptotically stable? -1 + 272 + 3z3 %3D -I1
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