Linear Time-Varying Systems

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Release : 2011-04-21
Genre : Technology & Engineering
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Book Rating : 272/5 ( reviews)

Linear Time-Varying Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Linear Time-Varying Systems write by Henri Bourlès. This book was released on 2011-04-21. Linear Time-Varying Systems available in PDF, EPUB and Kindle. 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 Supérieure de Cachan.

Linear Time Varying Systems and Sampled-data Systems

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Release : 2001-02-26
Genre : Medical
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Book Rating : 390/5 ( reviews)

Linear Time Varying Systems and Sampled-data Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Linear Time Varying Systems and Sampled-data Systems write by Akira Ichikawa. This book was released on 2001-02-26. Linear Time Varying Systems and Sampled-data Systems available in PDF, EPUB and Kindle. This monograph considers linear optimal regulators, differential games and develops the theory for time-varying systems and jump systems.

Linear Time-varying Systems

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Release : 1993
Genre : Science
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Linear Time-varying Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Linear Time-varying Systems write by Kostas S. Tsakalis. This book was released on 1993. Linear Time-varying Systems available in PDF, EPUB and Kindle.

Linear, Time-varying Approximations to Nonlinear Dynamical Systems

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Release : 2010-02-04
Genre : Mathematics
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Book Rating : 00X/5 ( reviews)

Linear, Time-varying Approximations to Nonlinear Dynamical Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Linear, Time-varying Approximations to Nonlinear Dynamical Systems write by Maria Tomas-Rodriguez. This book was released on 2010-02-04. Linear, Time-varying Approximations to Nonlinear Dynamical Systems available in PDF, EPUB and Kindle. Linear, Time-varying Approximations to Nonlinear Dynamical Systems introduces a new technique for analysing and controlling nonlinear systems. This method is general and requires only very mild conditions on the system nonlinearities, setting it apart from other techniques such as those – well-known – based on differential geometry. The authors cover many aspects of nonlinear systems including stability theory, control design and extensions to distributed parameter systems. Many of the classical and modern control design methods which can be applied to linear, time-varying systems can be extended to nonlinear systems by this technique. The implementation of the control is therefore simple and can be done with well-established classical methods. Many aspects of nonlinear systems, such as spectral theory which is important for the generalisation of frequency domain methods, can be approached by this method.

Time-Varying Systems and Computations

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Release : 2013-03-09
Genre : Science
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Book Rating : 174/5 ( reviews)

Time-Varying Systems and Computations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Time-Varying Systems and Computations write by Patrick DeWilde. This book was released on 2013-03-09. Time-Varying Systems and Computations available in PDF, EPUB and Kindle. Complex function theory and linear algebra provide much of the basic mathematics needed by engineers engaged in numerical computations, signal processing or control. The transfer function of a linear time invariant system is a function of the complex vari able s or z and it is analytic in a large part of the complex plane. Many important prop erties of the system for which it is a transfer function are related to its analytic prop erties. On the other hand, engineers often encounter small and large matrices which describe (linear) maps between physically important quantities. In both cases similar mathematical and computational problems occur: operators, be they transfer functions or matrices, have to be simplified, approximated, decomposed and realized. Each field has developed theory and techniques to solve the main common problems encountered. Yet, there is a large, mysterious gap between complex function theory and numerical linear algebra. For example, complex function theory has solved the problem to find analytic functions of minimal complexity and minimal supremum norm that approxi e. g. , as optimal mate given values at strategic points in the complex plane. They serve approximants for a desired behavior of a system to be designed. No similar approxi mation theory for matrices existed until recently, except for the case where the matrix is (very) close to singular.