Input‐to‐state stability with respect to inputs and their derivatives | Zendy

Angeli David | Zendy; Sontag Eduardo D. | Zendy; Wang Yuan | Zendy

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Input‐to‐state stability with respect to inputs and their derivatives

Author(s) -

Angeli David,

Sontag Eduardo D.,

Wang Yuan

Publication year - 2003

Publication title -

international journal of robust and nonlinear control

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.361

H-Index - 106

eISSN - 1099-1239

pISSN - 1049-8923

DOI - 10.1002/rnc.753

Subject(s) - stability (learning theory) , state (computer science) , infinity , exponential stability , control theory (sociology) , mathematics , order (exchange) , computer science , control (management) , nonlinear system , mathematical analysis , algorithm , physics , economics , finance , quantum mechanics , machine learning , artificial intelligence

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 non‐linear systems are discussed. Copyright © 2003 John Wiley & Sons, Ltd.

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