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Lyapunov's stability theorem (direct method) V(x) is positive definite function i.e. ��(��) > 0; �� ≠ 0 and ��(0) = 0. V(x) has continuous partial derivatives with respect to all components of x. asymptotically stable if ��̇(��) < 0, �� ≠ 0, i.e., ��̇(��) is a negative definite function.
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