Lyapunov stability

Lyapunov stability is applicable to only unforced (no control input) dynamical systems. It is used to study the behaviour of dynamical systems under initial perturbations around equilibrium points.

Related Topics:
Dynamical system - Equilibrium point

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Let us consider that the origin is the equilibrium point (EP) of the system.

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A system is said to be stable "in the sense of Lyapunov" (i.s.L.) if for every ε, there is a δ such that:

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:

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