I'm reading through my university notes and I've noticed we only proved the Lyapunov stability and asymptotical stability theorems, and haven't touched upon instability. I'm familiar with the concept of the Lyapunov function, I just find it a bit strange that even on the internet I haven't been able to find a detailed proof, or even the formal statement of the instability theorem. I'm wondering if anyone knows where can I find a detailed proof of the Lyapunov instability theorem on the internet. Thanks!
2026-03-27 18:08:15.1774634895
Proof of Lyapunov instability theorem
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