MTNS 2006 Paper Abstract

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

MTNS 2006 Paper Abstract

Paper WeA05.4

Petreczky, Mihaly (Centrum voor Wiskunde en Informatica (CWI))

Hybrid Formal Power Series and Their Application to Realization Theory of Hybrid Systems

Scheduled for presentation during the Regular Session "Hybrid Systems I" (WeA05), Wednesday, July 26, 2006, 11:40−12:05, Room F

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 19, 2024

Keywords Hybrid systems modelling, Algebraic systems theory, Nonlinear system identification

Abstract

The paper presents the abstract framework of hybrid formal power series. Hybrid formal power series are analogous to non-commutative formal power series. Formal power series are widely used in control systems theory. In particular, theory of formal power series is the main tool for solving the realization problem for linear and bilinear control systems.The theory of hybrid formal power series developed in this paper plays a similar role in realization theory of hybrid systems. The paper presents an application of hybrid formal power series to the realization problem of linear and bilinear hybrid systems. The use of hybrid formal power series allows us to develop realization theory for hybrid systems in a concise and uniform manner.