Lyapunov Function Constructions for Slowly Time-Varying Systems
Lyapunov Function Constructions for Slowly Time-Varying Systems
We provide general methods for explicitly constructing strict Lyapunov functions for general nonlinear slowly time-varying non-autonomous 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-state stable Lyapunov functions for slowly time-varying control systems. We illustrate our findings using a perturbed friction model with slowly time-varying coefficients.
VARIATION LENTE, LYAPUNOV FUNCTION CONSTRUCTIONS, ANALYSE DE STABILITE, INPUT-TO-STATE STABILITY, AUTOMATIQUE, [MATH] Mathematics [math], SLOWLY TIME-VARYING SYSTEMS, [INFO] Computer Science [cs], STABILITY ANALYSIS
VARIATION LENTE, LYAPUNOV FUNCTION CONSTRUCTIONS, ANALYSE DE STABILITE, INPUT-TO-STATE STABILITY, AUTOMATIQUE, [MATH] Mathematics [math], SLOWLY TIME-VARYING SYSTEMS, [INFO] Computer Science [cs], STABILITY ANALYSIS
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!