✦ LIBER ✦

Intrinsic robustness of global asymptotic stability

✍ Scribed by David Angeli

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 110 KB
Volume: 38
Category: Article
ISSN: 0167-6911
DOI: 10.1016/s0167-6911(99)00077-8

No coin nor oath required. For personal study only.

✦ Synopsis

Equivalence is shown for discrete time systems between global asymptotic stability and the so-called integral Input-to-State Stability. The latter is a notion of robust stability with respect to exogenous disturbances which informally translates into the statement "no matter what is the initial condition, if the energy of the inputs is small, then the state must eventually be small".

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