A note on finite-time and fixed-time stability
classification
🌊 nlin.AO
math.OC
keywords
finite-timestabilityfixed-timeapproachapplicationconditionsconsensusderived
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In this letter, by regarding finite-time stability as an inverse problem, we reveal the essence of finite-time stability and fixed-time stability. Some necessary and sufficient conditions are given. As application, we give a new approach for finite-time and fixed-time synchronization and consensus. Many existing results can be derived by the general approach.
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