I know that thanks to Lyapunov' Stability Theorem one can study the stability of an equilibrium by finding a Lyapunov function associated to that equilibrium. But, is the converse true? Is it true that for every stable (or asymptotically stable) equilibrium a Lyapunov function can be found?
2026-03-25 12:54:14.1774443254
Counterexample of Lyapunov' Stability Theorem for equilbrium
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