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Stability Analysis via Averaging Functions
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DOI：10.1109/TAC.2015.2459152.png)
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Abstract
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A new class of Lyapunov functions is proposed for analysis of incremental stability for nonlinear systems. This class of Lyapunov functions allows to establish input-dependent incremental stability criteria. Two substantially different situations are considered: when incremental stability is guaranteed by the inputs of sufficiently small amplitude and when, similar to the excited van der Pol oscillator, the stability is induced by sufficiently large inputs.
Keywords:
Lyapunov methods
nonlinear systems
stability criteria
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