Titlebook: Constructions of Strict Lyapunov Functions; Michael‘Malisoff,Frédéric Mazenc Book 2009 Springer-Verlag London 2009 Lyapunov Analysis.Lyapu

歪曲道理

煞费苦心

RUPT

https://doi.org/10.1007/978-3-540-70764-6y different from the ones in Chap. 10. Instead of using limiting dynamics or averaging, we use a “frozen dynamics” approach, whereby Lyapunov functions for the corresponding frozen dynamics are used to build strict Lyapunov functions for the original slowly time-varying dynamics. We illustrate our results using friction and pendulum models.

花束

遗忘

Minatory

Communicate

Adaptively Controlled Systemstions for an augmented system that includes the tracking error and the parameter estimation error. Our strict Lyapunov function approach makes it possible to quantify the effects of other types of uncertainty in the model as well, using the input-to-state stability framework. We illustrate our results using Rössler’s dynamics and Lorenz systems.

PARA

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Background on Nonlinear Systemsby Brockett’s Necessary Condition. Brockett’s Criterion motivates our use of time-varying feedbacks to stabilize both autonomous and time-varying systems. We illustrate these notions in several examples. In later chapters, we revisit these notions using strict Lyapunov functions.

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