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This book was the first and remains the only book to give a comprehensive treatment of the behavior of linear or nonlinear systems when they are connected in a closed-loop fashion, with the output of one system forming the input of the other. The study of the stability of such systems requires one to draw upon several branches of mathematics but most notably functional analysis. Feedback Systems: Input-Output Properties includes the most basic concepts of matrices and norms, the important fundamental theorems in input-output stability, and the requisite background material in advanced topics...

The state space approach is widely used in systems ranging from industrial robots to space guidance control. This landmark in the technique's development and applications was written by two pioneers in the field, Lotfi A. Zadeh and Charles A. Desoer, who teach in the Department of Electrical Engineering and Computer Science at the University of California, Berkeley.
Starting with a self-contained introduction to system theory, the authors explain basic concepts, presenting each idea within a carefully integrated framework of numerous illustrative examples. Most of the text concerns the...

This book is the result of our teaching over the years an undergraduate course on Linear Optimal Systems to applied mathematicians and a first-year graduate course on Linear Systems to engineers. The contents of the book bear the strong influence of the great advances in the field and of its enormous literature. However, we made no attempt to have a complete coverage. Our motivation was to write a book on linear systems that covers finite- dimensional linear systems, always keeping in mind the main purpose of engineering and applied science, which is to analyze, design, and improve the...

This book is the result of our teaching over the years an undergraduate course on Linear Optimal Systems to applied mathematicians and a first-year graduate course on Linear Systems to engineers. The contents of the book bear the strong influence of the great advances in the field and of its enormous literature. However, we made no attempt to have a complete coverage. Our motivation was to write a book on linear systems that covers finite dimensional linear systems, always keeping in mind the main purpose of engineering and applied science, which is to analyze, design, and improve the...

The algebraic theory of linear, time-invariant, multiinput-multioutput (MIMO) feedback systems has developed rapidly during the past decade. The factorization approach is simple and elegant; it is suitable for both continuous-time and discrete-time lumped-parameter system models, and many of its results apply directly to distributed-parameter systems. This volume streamlines the algebreaic approach to the analysis and synthesis of linear time-invariant MIMO feedback systems.