on contraction analysis for nonlinear systems analyzing stability dierentially leads to a new perspective on nonlinear dynamic systems winfried lohmillera and jean jacques e slotinea b anonlinear systems laboratory massachusetts ...
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...On contraction analysis for nonlinear systems analyzing stability dierentially leads to a new perspective dynamic winfried lohmillera and jean jacques e slotinea b anonlinear laboratory massachusetts institute of technology room cambridge usa wslohmil mit edu jjs fax phone bauthor whom correspondence should be addressed abstract this paper derives results in system using methods spired from uid mechanics dierential geometry based analy sis convergence these may viewed as generalizing the classical krasovskii theorem more loosely linear eigenvalue central feature is that con vergence limit behavior are sense treated separately leading signicant conceptual simplications approach illustrated by controller observer designs simple physical examples key words dynamics control observers gain scheduling introduction has been very successfully applied particular classes problems but it still lacks generality g case feedback linearization or explicitness lyapunov theory isidori marino tomei khal...