Global Uniform Asymptotic Stability of Cascaded Nonlinear Non-Autonomous Systems
1999 (English)In: European Journal of Control, ISSN 0947-3580, E-ISSN 1435-5671, Vol. 5, no 1, 107-115 p.Article in journal (Refereed) Published
In this paper, we deal with the stability analysis problem of cascaded non-autonomous non-linear systems. In particular, we answer to the following questions: (i) What happens with the solutions of a time-varying non-linear system which is globally uniformly stable (GUS), when it is perturbed by the output of a globally exponentially stable (GES) system, in particular, when both systems form a cascade? (ii) If a time-varying non-linear system is globally uniformly asymptotically stable (GUAS), is this stability properly preserved when it is perturbed by an exponentially decaying input? Our proofs are based on a standard ‘delta-epsilon’ Lyapunov analysis. Finally, we show the utility of our results by applying our theorems to the problem of stabilisation of a turbo-charged diesel engine.
Place, publisher, year, edition, pages
1999. Vol. 5, no 1, 107-115 p.
Cascaded systems, Lyapunov theory
IdentifiersURN: urn:nbn:se:liu:diva-95667DOI: 10.1016/S0947-3580(99)70145-7OAI: oai:DiVA.org:liu-95667DiVA: diva2:637187