Nonlinear Dynamics and Systems Theory
نویسندگان
چکیده
The consistent Lyapunov methodology enables us, after its single application, to solve completely the asymptotic (or, exponential) stability problem, to construct a system Lyapunov function and to determine accurately the domain of asymptotic stability. This is achieved in the paper for invariant sets of non-differentiable time-varying non-linear systems. The results (proved in details) presentthe necessary and sufficient conditions for: asymptotic stability, for a determination of a system Lyapunov function and for a set to be the asymptotic stability domain. They are not expressed in terms of existence of a system Lyapunov function. They determine well the procedure how to resolve all the relevant problems.
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