Linear Time-Varying Systems: Algebraic-Analytic Approach
Linear Time-Varying Systems: Algebraic-Analytic Approach (Lecture Notes in Control and Information Sciences) by Henri Bourlès
English | ISBN 10: 3642197264 | 2011 | PDF | 664 pages | 6,8 MB
English | ISBN 10: 3642197264 | 2011 | PDF | 664 pages | 6,8 MB
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.