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Includes model tests with explanations and study tips for GED.

The essential introduction to the principles and applications of feedback systems—now fully revised and expanded This textbook covers the mathematics needed to model, analyze, and design feedback systems. Now more user-friendly than ever, this revised and expanded edition of Feedback Systems is a one-volume resource for students and researchers in mathematics and engineering. It has applications across a range of disciplines that utilize feedback in physical, biological, information, and economic systems. Karl Åström and Richard Murray use techniques from physics, computer science, and operations research to introduce control-oriented modeling. They begin with state space tools for analysis and design, including stability of solutions, Lyapunov functions, reachability, state feedback observability, and estimators. The matrix exponential plays a central role in the analysis of linear control systems, allowing a concise development of many of the key concepts for this class of models. Åström and Murray then develop and explain tools in the frequency domain, including transfer functions, Nyquist analysis, PID control, frequency domain design, and robustness. Features a new chapter on design principles and tools, illustrating the types of problems that can be solved using feedback Includes a new chapter on fundamental limits and new material on the Routh-Hurwitz criterion and root locus plots Provides exercises at the end of every chapter Comes with an electronic solutions manual An ideal textbook for undergraduate and graduate students Indispensable for researchers seeking a self-contained resource on control theory

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A revised and updated edition of the best-selling resource for art teachers This time-tested book is written for teachers who need accurate and updated information about the world of art, artists, and art movements, including the arts of Africa, Asia, Native America and other diverse cultures. The book is filled with tools, resources, and ideas for creating art in multiple media. Written by an experienced artist and art instructor, the book is filled with vital facts, data, readings, and other references, Each of the book's lists has been updated and the includes some 100 new lists Contains new information on contemporary artists, artwork, art movements, museum holdings, art websites, and more Offers ideas for dynamic art projects and lessons Diverse in its content, the book covers topics such as architecture, drawing, painting, graphic arts, photography, digital arts, and much more.