1.11.1A feedback control system modelled by thedifferential equationx + ax + kx = 0is known to be asymptotically stable, for k > 0,a> 0. Set up the state-space form of the equationand show thatV(x₁, x₂) = kx² + (x₂ + ax₁)²₂ x₁ = x₂ x₂ = xis a suitable Lyapunov function for verifyingthis.

Problem is solved using concept of Lyapunov Function.

Answered: A feedback control system modelled by…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter11: Differential Equations

Section11.CR: Chapter 11 Review

Problem 12CR

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