Stability analysis of monotone systems via max-separable Lyapunov functions

H. R. Feyzmahdavian, B. Besselink, M. Johansson

OnderzoeksoutputAcademicpeer review

10 Citaten (Scopus)


We analyze stability properties of monotone nonlinear systems via max-separable Lyapunov functions, motivated by the following observations: first, recent results have shown that asymptotic stability of a monotone nonlinear system implies the existence of a max-separable Lyapunov function on a compact set; second, for monotone linear systems, asymptotic stability implies the stronger properties of D-stability and insensitivity to time delays. This paper establishes that for monotone nonlinear systems, equivalence holds between asymptotic stability, the existence of a max-separable Lyapunov function, D-stability, and insensitivity to bounded and unbounded time-varying delays. In particular, a new and general notion of D-stability for monotone nonlinear systems is discussed, and a set of necessary and sufficient conditions for delay-independent stability are derived. Examples show how the results extend the state of the art.
Originele taal-2English
Pagina's (van-tot)643-656
Aantal pagina's14
TijdschriftIEEE Transactions on Automatic Control
Nummer van het tijdschrift3
StatusPublished - mrt-2018

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