Contraction Analysis of Monotone Systems via Separable FunctionsKawano, Y., Besselink, B. & Cao, M., Aug-2020, In : IEEE-Transactions on Automatic Control. 65, 8, p. 3486-3501 16 p., 8854175.
Research output: Contribution to journal › Article › Academic › peer-review
In this paper, we study incremental stability of monotone nonlinear systems through contraction analysis. We provide sufficient conditions for incremental asymptotic stability in terms of the Lie derivatives of differential one-forms or Lie brackets of vector fields. These conditions can be viewed as sum- or max-separable conditions, respectively. For incremental exponential stability, we show that the existence of such separable functions is both necessary and sufficient under standard assumptions for the converse Lyapunov theorem of exponential stability. As a by-product, we also provide necessary and sufficient conditions for exponential stability of positive linear time-varying systems. The results are illustrated through examples.
|Number of pages||16|
|Journal||IEEE-Transactions on Automatic Control|
|Publication status||Published - Aug-2020|
- Control theory, Asymptotic stability, Stability analysis, Nonlinear systems, Eigenvalues and eigenfunctions, Linear systems, Contraction analysis, monotone systems, nonlinear systems, separable functions, LYAPUNOV FUNCTIONS, STABILITY ANALYSIS, CRITERIA, METRICS, MODEL