Stability analysis of monotone systems via max-separable Lyapunov functionsFeyzmahdavian, H. R., Besselink, B. & Johansson, M., Mar-2018, In : IEEE Transactions on Automatic Control. 63, 3, p. 643-656 14 p.
Research output: Contribution to journal › Article › Academic › peer-review
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.
|Number of pages||14|
|Journal||IEEE Transactions on Automatic Control|
|Publication status||Published - Mar-2018|
- Asymptotic stability, Delays, Linear systems, Lyapunov methods, Nonlinear systems, Stability criteria, D-stability, Delay systems, monotone systems, positive systems