Details

Autor(en) / Beteiligte

• Pola, Giordano
• Pepe, Pierdomenico
• Di Benedetto, Maria Domenica

Titel

Symbolic models for time-varying time-delay systems via alternating approximate bisimulation

Ist Teil von

• International journal of robust and nonlinear control, 2015-09, Vol.25 (14), p.2328-2347

Ort / Verlag

Bognor Regis: Blackwell Publishing Ltd

Erscheinungsjahr

2015

Link zum Volltext

Quelle

Wiley Online Library - AutoHoldings Journals

Beschreibungen/Notizen

• Summary Time‐delay systems are an important class of dynamical systems that provide a solid mathematical framework to deal with many application domains of interest. In this paper, we focus on nonlinear control systems with unknown and time‐varying delay signals and we propose one approach to the control design of such systems, which is based on the construction of symbolic models. Symbolic models are descriptions of dynamical systems where one symbolic state and one symbolic input correspond to an aggregate of states and an aggregate of inputs. We first introduce the notion of incremental input‐delay‐to‐state stability and provide sufficient conditions to check it in terms of existence of Lyapunov–Krasovskii functionals. We then derive sufficient conditions for the existence of symbolic models that are shown to be alternating approximately bisimilar to the original system. Further results are also derived, which prove the computability of the proposed symbolic models in a finite number of steps. Copyright © 2014 John Wiley & Sons, Ltd.