Further results on Lyapunov functions for slowly time-varying systems
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چکیده
منابع مشابه
Further results on Lyapunov functions for slowly time-varying systems
We provide general methods for explicitly constructing strict Lyapunov functions for fully nonlinear slowly time-varying systems. Our results apply to cases where the given dynamics and corresponding frozen dynamics are not necessarily exponentially stable. This complements our previous Lyapunov function constructions for rapidly time-varying dynamics. We also explicitly construct input-to-stat...
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We study the stability properties of a class of time-varying nonlinear systems. We assume that nonstrict input-to-state stable (ISS) Lyapunov functions for our systems are given. We posit a mild nondegeneracy condition on our given Lyapunov functions under which strict ISS Lyapunov functions for our systems are also known to exist. However, the known existence result is based on value function ...
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ژورنال
عنوان ژورنال: Mathematics of Control, Signals, and Systems
سال: 2007
ISSN: 0932-4194,1435-568X
DOI: 10.1007/s00498-006-0010-4