• Investigate the stability of the following systems (Consider the quadratic form as Lya punov system)? a) b) 2 X₁ = - X²-X₁ (-X₁³² x ²² x1) + X₁ = X₁ X₂ (1-x²-x²) - Хг ₂ x₁ = X₂ (1-x²₁²) X² = − ( X₁ + X ₂) (¹ - X² ) (1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 56RE
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Question
• Investigate the stability of the following
systems (Consider the quadratic form
93
Lya punov system)?
a)
b)
2
+
- X2-X₁ (-X₁³² X ²₁² +1)
X₁ - X₂ (1-x²₁ - X²²)
X₁ =
Хг
X₁
O
gX₁² = X₂ (1-x₁)
(
X ₂ = − ( X₁ + X ₂) (1 - x²)
Transcribed Image Text:• Investigate the stability of the following systems (Consider the quadratic form 93 Lya punov system)? a) b) 2 + - X2-X₁ (-X₁³² X ²₁² +1) X₁ - X₂ (1-x²₁ - X²²) X₁ = Хг X₁ O gX₁² = X₂ (1-x₁) ( X ₂ = − ( X₁ + X ₂) (1 - x²)
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