The aim of this book is to propose a new approach to analysis and control of linear time-varying systems.#xA0; 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.#xA0; 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.#xA0; 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.#xA0; 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.#xA0; The solutions are based on algebraic analysis.#xA0;This book, written for engineers, is also useful for mathematicians since it shows how algebraic analysis can be applied to solve engineering problems.#xA0;Henri Bourl#xE8;s is a Professor and holds the industrial automation chair at the Conservatoire national des arts et m#xE9;tiers in France. He has been teaching automation for over 20 years in engineering and graduate schools.#xA0;Bogdan Marinescu is currently research engineer at the French Transmission System Operator (RTE) and Associate Professor at SATIE-Ecole Normale Sup#xE9;rieure de Cachan.
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