abstract bibtex

A new notion of input-to-state stability involving infinity norms of input derivatives up to a finite order k is introduced and characterized. An example shows that this notion of stability is indeed weaker than the usual ISS. Applications to the study of global asymptotic stability of cascaded nonlinear systems are discussed.

@ARTICLE{DiffISS_IJRNC03, AUTHOR = {D. Angeli and E.D. Sontag and Y. Wang}, JOURNAL = {Internat. J. Robust Nonlinear Control}, TITLE = {Input-to-state stability with respect to inputs and their derivatives}, YEAR = {2003}, OPTMONTH = {}, OPTNOTE = {}, NUMBER = {11}, PAGES = {1035--1056}, VOLUME = {13}, KEYWORDS = {input to state stability, input to state stability}, PDF = {../../FTPDIR/diss-ijrac03.pdf}, ABSTRACT = { A new notion of input-to-state stability involving infinity norms of input derivatives up to a finite order k is introduced and characterized. An example shows that this notion of stability is indeed weaker than the usual ISS. Applications to the study of global asymptotic stability of cascaded nonlinear systems are discussed. } }

Downloads: 0