A Linear Systems Primer

From the reviews: "This book is an excellent addition to existing textbooks on linear systems theory. With emphasis on topics and results that are fundamental to systems theory and control, the book strikes a balance between breadth and depth, and between basics concepts and tools and mathematical rigor. The book is clearly written, and its presentation is transparent and smooth. It is an excellent textbook for a one-semester, first-year graduate-level course on linear systems theory. Indeed, I have adopted this book as the textbook for the linear systems course that I teach. The book is also a useful reference for researchers and engineering practitioners. -Lihua Xie, IEEE Control Systems Magazine "The primer is an introduction to systems, geared to advanced undergraduate and graduate students. The authors are prominent and authoritative...Topic coverage is broad, ranging from basics like system models, controllability, and observability, to state feedback and controllers with two degrees of freedom. Ten brief appendixes cover basic background material such as vector spaces and eigenvalues. Summing up: Recommended. Upper-division undergraduates through faculty. -CHOICE "This is a textbook introduction to system theory and linear systems control, for a one-semester course at the first-year graduate level ... . This primer is aimed essentially at course use, with an emphasis on key results and essential theory.... Each chapter ends with a useful 'summary and highlights' section and well-documented historical notes pointing back to the technical literature. -Didier Henrion, Mathematical Reviews "The book A Linear Systems Primer is a streamlined presentation of the book Linear Systems ... of the same authors. It provides an introduction to system theory with an emphasis on control theory. ... The book is accompanied by many illustrative examples ... . used as a textbook for senior undergraduate of a typical one-semester course introduction to linear systems primarily for first-year graduate and senior undergraduate students in engineering, but also in mathematics, physics and the rest of the sciences." (Nicholas Karampetakis, Zentralblatt MATH, Vol. 1168, 2009)

Preface System Models, Differential Equations, and Initial-Value Problems An Introduction to State-Space and Input-Output Descriptions of Systems Response of Continuous- and Discrete-Time Systems Stability Controllability and Observability: Fundamental Results Controllability and Observability: Special Forms Internal and External Descriptions: Relations and Properties Realization Theory and Algorithms State Feedback and State Observers Feedback Control Systems Appendix Solutions to Selected Exercises Index