Linear Time-Varying Systems: Analysis an
β Henry D. Angelo
π Library
π
1970
π English
β¦ LIBER β¦
π
Linear Time-Varying Systems: Algebraic-Analytic Approach
β Scribed by Henri BourlΓ¨s, Bogdan Marinescu (auth.)
- Publisher
- Springer-Verlag Berlin Heidelberg
- Year
- 2011
- Tongue
- English
- Leaves
- 664
- Series
- Lecture Notes in Control and Information Sciences 410
- Edition
- 1
- Category
- Library
β¬ Acquire This Volume
No coin nor oath required. For personal study only.
β¦ Synopsis
The aim of this book is to propose a new approach to analysis and control of linear time-varying systems. These systems are defined in an intrinsic way, i.e., not by a particular representation (e.g., a transfer matrix or a state-space form) but as they are actually. The system equations, derived, e.g., from the laws of physics, are gathered to form an intrinsic mathematical object, namely a finitely presented module over a ring of operators. This is strongly connected with the engineering point of view, according to which a system is not a specific set of equations but an object of the material world which can be described by equivalent sets of equations. This viewpoint makes it possible to formulate and solve efficiently several key problems of the theory of control in the case of linear time-varying systems. The solutions are based on algebraic analysis.
This book, written for engineers, is also useful for mathematicians since it shows how algebraic analysis can be applied to solve engineering problems.
Henri Bourlès is a Professor and holds the industrial automation chair at the Conservatoire national des arts et métiers in France. He has been teaching automation for over 20 years in engineering and graduate schools.
Bogdan Marinescu is currently research engineer at the French Transmission System Operator (RTE) and Associate Professor at SATIE-Ecole Normale SupΓ©rieure de Cachan.
β¦ Table of Contents
Front Matter....Pages -
Front Matter....Pages 1-1
Categories, Divisibility and Groups....Pages 3-90
Rings and Modules....Pages 91-187
Homological Algebra....Pages 189-268
Galois Theory and Skew Polynomials....Pages 269-308
Front Matter....Pages 309-309
Systems and Behaviors: A General Setting....Pages 311-401
Finite Poles and Zeros of LTV Systems....Pages 403-452
Structure at Infinity and Impulsive Behaviors....Pages 453-496
Front Matter....Pages 497-497
Analysis of LTV Systems....Pages 499-514
Modeling: Choice of the Input Variables of an LTV System....Pages 515-522
Open-Loop Control by Model-Matching....Pages 523-543
Closed-Loop Control by Output Feedback Pole Placement....Pages 545-580
Front Matter....Pages 581-581
Analytic Theory of LTV Systems....Pages 583-603
Back Matter....Pages -
β¦ Subjects
Control, Robotics, Mechatronics; Systems Theory, Control
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