Further Results on Lyapunov Functions for Slowly Time-Varying Systems

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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-state stable Lyapunov functions for slowly time-varying control systems. We illustrate our findings by constructing explicit Lyapunov functions for a pendulum model, an example from identification theory, and a perturbed friction model.
Accepted for publication in Mathematics of Control, Signals, and Systems (MCSS) on November 20, 2006

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Optimization and Control, 93D30

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http://salesiana.dossiersoluciones.com/handle/123456789/123159

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0611883
 http://arxiv.org/abs/math/0611883
 Mathematics of Control Signals and Systems, Volume 19, Number 1, pp. 1-21, February 2007

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