5. Consider:Lyapunov indirect method for stabilty: A nonlinear state-space system is stableif and only if the real parts of all the eigenvalues of the Jacobian of the systemhave negative real parts. J =af;evaluated at steady stateTake into account the following nonlinear system:dx,f,(X1, X2) = 2X1 - X2dtdx2f2(X1, X2) = -X1 - xỉ - x3dtIs the system stable in Lyapunov sense?

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Lyapunov indirect method for stabilty: A nonlinear state-space system is stable if and only if the real parts of all the eigenvalues of the Jacobian of the system have negative real parts. J evaluated at steady state Take into account the following nonlinear system: dx, = f;(X1, X2) = 2x1 - x2 dt dx2 f,(X, X2) = -X1 -xỉ - x} %3D dt Is the system stable in Lyapunov sense?

Lyapunov indirect method for stabilty: A nonlinear state-space system is stable if and only if the real parts of all the eigenvalues of the Jacobian of the system have negative real parts. J evaluated at steady state Take into account the following nonlinear system: dx, = f;(X1, X2) = 2x1 - x2 dt dx2 f,(X, X2) = -X1 -xỉ - x} %3D dt Is the system stable in Lyapunov sense?

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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