@inbook{c6d5b89a3ac04635952a40d4a378343b,

title = "Examples on stability for infinite-dimensional systems",

abstract = "By means of examples, we study stability of infinite-dimensional linear and nonlinear systems. First we show that having a (strict) Lyapunov function does not imply asymptotic stability, even not for linear systems. Second, we show that to conclude (local) exponential stability from the linearization, care must be taken how the linearization is obtained.",

author = "H.J. Zwart",

year = "2015",

doi = "10.1007/978-3-319-20988-3_18",

language = "English",

isbn = "978-3-319-20987-6",

series = "Lecture Notes in Control and Information Sciences",

publisher = "Springer",

pages = "343--348",

editor = "M.K. Camlibel and A.A. Julius and R. Pasumarthy and J.M.A. Scherpen",

booktitle = "Mathematical Control Theory I : Nonlinear and Hybrid Control Systems",

address = "Germany",

note = "Workshop on Mathematical Systems Theory: From Behaviors to Nonlinear Control, 12-13 July 2015, Groningen, The Netherlands ; Conference date: 12-07-2015 Through 13-07-2015",

}