Further Results on Incremental Input-to-State Stability

Incremental stability notions defined by means of comparison functions in a state-space framework are further investigated. In particular, we provide a continuous converse Lyapunov theorem for incremental integral ISS and show that the incremental integral property is at least as strong as increment...

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Bibliographic Details
Published in:IEEE transactions on automatic control 2009-06, Vol.54 (6), p.1386-1391
Main Author: Angeli, D.
Format: Article
Language:English
Subjects:
Applied sciences
Asymptotic stability
Automatic control
Computer science
control theory
systems
Control system analysis
Control theory. Systems
Exact sciences and technology
H infinity control
Integrals
International Space Station
Linear systems
Lyapunov Theorem
Nonlinear control systems
Signal processing
Stability
Stability analysis
Terrorism
Theorems
Time measurement
Uncertainty
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Summary:Incremental stability notions defined by means of comparison functions in a state-space framework are further investigated. In particular, we provide a continuous converse Lyapunov theorem for incremental integral ISS and show that the incremental integral property is at least as strong as incremental ISS.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2009.2015561