Question: A mass-spring system with a hardening spring, linear viscous damping, and a periodic external force can be represented by the Duffing's equation m +cy

A mass-spring system with a hardening spring, linear viscous damping, and a

A mass-spring system with a hardening spring, linear viscous damping, and a periodic external force can be represented by the Duffing's equation m +cy +ky +kay = A cos at Take a Lyapunov function .2. 3 3 1 1 (x ) =* x +x where x, =y and x, =y. 1 T. 4 %3D 2 a) Determine the functions a, (| x |I) EK and a,(| x ||) eK satisfying the inequality a, (|| x |)

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