On vector Lyapunov functions
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- by S. G. Deo PDF
- Proc. Amer. Math. Soc. 29 (1971), 575-580 Request permission
Abstract:
It has been proved that the use of a vector Lyapunov function is more advantageous in certain situations rather than a scalar function. Moreover, each function needs to satisfy less rigid requirements. In this paper a new situation has been considered where vector Lyapunov functions play a further useful role. For this purpose, a new type of stability, namely, strict partial stability has been defined. The principal tool employed is the second method of Lyapunov and a comparision theorem of a more general type.References
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- V. M. Matrosov, The comparison principle with a vector-valued Ljapunov function. I. , Differencial′nye Uravnenija 4 (1968), 1374–1386 (Russian). MR 0234042
Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 29 (1971), 575-580
- MSC: Primary 34.51
- DOI: https://doi.org/10.1090/S0002-9939-1971-0282011-4
- MathSciNet review: 0282011