System Theory – A Modern Approach 1

Linear Ordinary and Functional Differential Equations

Volume 1 - New Mathematical Methods, Systems and Applications SET by Henri Bourlès

System Theory – A Modern Approach 1

Henri Bourlès, SATIE Laboratory (CNAM/ENS Paris-Saclay), France.

ISBN : 9781786309853

Publication Date : May 2024

Hardcover 320 pp

165.00 USD



The theory of dynamic systems is addressed in this book in accordance with the “modern” approach, heir to algebraic analysis, which has been implemented since the last decade of the 20th century.

After a reminder of the evolution of the representation of systems based on transfer functions or matrices, the duality of controllability and observability is revisited, and new results are produced concerning time-varying
discrete-time systems.

To complete and improve the existing analyses, the poles and zeros of linear systems and their interconnections are presented in a new way, as well as the problem of systems governed by functional differential equations (of retarded or neutral type) and their stabilization. This book also proposes known and original mathematical complements.


1. Representation of Systems: A Historical Overview.
2. Linear Systems: Concepts and General Results.
3. Poles and Zeros of Linear Systems, Interconnectedness and Stabilization.
4. Systems with Differential Equations and Difference Equations.

About the authors/editors

Henri Bourlès is Professor Emeritus at the Conservatoire National des Arts et Métiers and a researcher at the SATIE Laboratory (CNAM/ENS
Paris-Saclay) in France. He has been teaching automatic control in engineering schools and universities for more than thirty years. His research work focuses on systems theory.

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