Salinas-Varela, Adrian Alberto (Univ. of Cambridge), Papachristodoulou, Antonis (Univ. of Oxford), Goncalves, Jorge (Univ. of Cambridge)

On L2 Error Bounds between Systems

Scheduled for presentation during the Regular Session "Switched Systems II" (MoP01), Monday, July 24, 2006, 16:35−17:00, Room B2

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on April 26, 2024

Abstract

In this paper two systems described by nonlinear ordinary differential equations will be considered. They will be assumed to be operating independently and to be time-invariant, unforced, and equidimensional. Dissipativity theory is used to provide a suffcient condition for the componentwise difference that exists between their state vectors to be a finite-energy signal. The related set of storage functions will be used to provide a bound for its L2-norm. For a specific class of switched models, a heuristic methodology to construct such storage functions is presented. Special emphasis will be placed upon piecewise linear (PWL) models.