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RESEARCH PRODUCT

Lyapunov Functions for Second-Order Differential Inclusions: A Viability Approach

José Alberto MurilloLuis Marco

subject

Lyapunov functionsecond orderViability theoryApplied MathematicsMathematical analysisOrder (ring theory)Lyapunov exponentExponential functionsymbols.namesakeDifferential inclusiondifferential inclusionssymbolsLyapunov equationviability theoryExponential decayAnalysisMathematicsLyapunov functions

description

AbstractIn this paper the existence of Lyapunov functions for second-order differential inclusions is analyzed by using the methodology of the Viability Theory. A necessary assumption on the initial states and sufficient conditions for the existence of local and global Lyapunov functions are obtained. An application is also provided.

yearjournalcountryeditionlanguage
2001-10-01Journal of Mathematical Analysis and Applications
10.1006/jmaa.2001.7583http://dx.doi.org/10.1006/jmaa.2001.7583