MINES ParisTech CAS - Centre automatique et systèmes

THE CONVERGENCE PROPERTY: SYSTEM THEORIC ASPECTS AND APPLICATIONS

Séance du jeudi 31 mars 2016, Salle L 224, 14h00.

Nathan VAN DE WOUW, Eindhoven University of Technology, Department of Mechanical Engineering

Abstract: In this talk, the convergence property, which is a system-level stability property of nonlinear dynamical systems originally introduced in the 1960's in Russia, will be discussed in detail. A convergent system exhibits a unique, bounded globally asymptotically steady-state solution. Lyapunov characterisations of, sufficient conditions for and properties of convergent systems will be presented. Moreover, relations to notions such as e.g. incremental stability will be briefly addressed. In the second part of the talk it will be advocated that convergence is a useful property in the analysis and design of nonlinear control systems. Particular applications are: steady-state performance analysis through `nonlinear frequency response functions', output regulation (with tracking, synchronisation as particular sub-problems), observer design, model reduction and extremum seeking control.