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• 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

• 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

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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• 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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