Hybrid Systems with Constraints (ePub)

Control theory is the main subject of this title, in particular
analysis and control design for hybrid dynamic systems.

The notion of hybrid systems offers a strong theoretical and
unified framework to cope with the modeling, analysis and control
design of systems where both continuous and discrete dynamics
interact. The theory of hybrid systems has been the subject of
intensive research over the last decade and a large number of
diverse and challenging problems have been investigated.
Nevertheless, many important mathematical problems remain
open.

This book is dedicated mainly to hybrid systems with constraints;
taking constraints into account in a dynamic system description has
always been a critical issue in control. New tools are provided
here for stability analysis and control design for hybrid systems
with operating constraints and performance specifications.

Contents

1. Positive Systems: Discretization with Positivity and
Constraints, Patrizio Colaneri, Marcello Farina, Stephen Kirkland,
Riccardo Scattolini and Robert Shorten.

2. Advanced Lyapunov Functions for Lur'e Systems, Carlos A.
Gonzaga, Marc Jungers and Jamal Daafouz.

3. Stability of Switched DAEs, Stephan Trenn.

4. Stabilization of Persistently Excited Linear Systems, Yacine
Chitour, Guilherme Mazanti and Mario Sigalotti.

5. Hybrid Coordination of Flow Networks, Claudio De Persis, Paolo
Frasca.

6. Control of Hybrid Systems: An Overview of Recent Advances,
Ricardo G. Sanfelice.

7. Exponential Stability for Hybrid Systems with Saturations, Mirko
Fiacchini, Sophie Tarbouriech, Christophe Prieur.

8. Reference Mirroring for Control with Impacts, Fulvio Forni,
Andrew R. Teel, Luca Zaccarian.

About the Authors

Jamal Daafouz is an expert in the area of switched and polytopic
systems and has published several major results in leading journals
(IEEE TAC, Automatica, Systems and Control Letters, etc.). He
serves as an Associate Editor for the key journal IEEE TAC and is a
member of the Editorial Board of the IEEE CSS society.

Sophie Tarbouriech is an expert in the area of nonlinear systems
with constraints and has published several major results in leading
journals (IEEE TAC, Automatica, Systems and Control Letters, etc.)
and books. She is a member of the Editorial Board of the IEEE CSS
society and has also served as an Associate Editor for the key
journal IEEE TAC.

Mario Sigalotti is an expert in applied mathematics and switched
systems and has published several results in leading journals (IEEE
TAC, Automatica, Systems and Control Letters, etc.). He heads the
INRIA team GECO and is a member of the IFAC Technical Committee on
Distributed Parameter Systems.