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.

1. Positive Switched Llinear Systems: Discretization with Positivity and Structural Constraints.

2. Advanced Lyapunov Functions for Switched Lur’e Systems.

3. Stability of Switched Differential Algebraic Equations.

4. Stabilization of Persistently Excited Linear Systems.

5. Hybrid Coordination of Flow Networks.

6. Control of Hybrid Dynamical Systems: An Overview of Recent Advances.

7. Exponential Stability for Hybrid Systems with Netsed Saturations.

8. Reference Mirroring for Control with Impacts.