2. Please use the Corollary of La Salle's Invariant Set Theorem to prove the asymptotic stability of the following nonlinear system around origin point. *1 = x2 *2 = -xỉ + x – x1 – x2 1 You may choose V(X) = -x3 + 'y² + y)dy, where (y² + y)y > 0.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter2: Systems Of Linear Equations
Section2.4: Applications
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2. Please use the Corollary of La Salle's Invariant Set Theorem to prove the asymptotic stability of
the following nonlinear system around origin point.
*1 = x2
*2 = -xỉ + x – x1 – X2
You may choose V (X) = -x3 + S(y² + y)dy, where (y² + y)y > 0.
Transcribed Image Text:2. Please use the Corollary of La Salle's Invariant Set Theorem to prove the asymptotic stability of the following nonlinear system around origin point. *1 = x2 *2 = -xỉ + x – x1 – X2 You may choose V (X) = -x3 + S(y² + y)dy, where (y² + y)y > 0.
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