"This volume is a textbook on linear control systems with an emphasis on stochastic optimal control with solution methods using spectral factorization in line with the original approach of N. Wiener. Continuous-time and discrete-time versions are presented in parallel.... Two appendices introduce functional analytic concepts and probability theory, and there are 77 references and an index. The chapters (except for the last two) end with problems.... [T]he book presents in a clear way important concepts of control theory and can be used for teaching." —Zentralblatt Math "This is a textbook intended for use in courses on linear control and filtering and estimation on (advanced) levels. Its major purpose is an introduction to both deterministic and stochastic control and estimation. Topics are treated in both continuous time and discrete time versions.... Each chapter involves problems and exercises, and the book is supplemented by appendices, where fundamentals on Hilbert and Banach spaces, operator theory, and measure theoretic probability may be found. The book will be very useful for students, but also for a variety of specialists interested in deterministic and stochastic control and filtering." —Applications of Mathematics "The strength of the book under review lies in the choice of specialized topics it contains, which may not be found in this form elsewhere. Also, the first half would make a good standard course in linear control." —Journal of the Indian Institute of Science

Rural counties make up about 80 percent of the land area of the United States, but they contain less than 20 percent of the U.S. population. The relative sparseness of the population in rural areas is one of many factors that influence the health and well-being of rural Americans. Rural areas have histories, economies, and cultures that differ from those of cities and from one rural area to another. Understanding these differences is critical to taking steps to improve health and well-being in rural areas and to reduce health disparities among rural populations. To explore the impacts of economic, demographic, and social issues in rural communities and to learn about asset-based approaches to addressing the associated challenges, the National Academies of Sciences, Engineering, and Medicine held a workshop on June 13, 2017. This publication summarizes the presentations and discussions from the workshop.

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Includes subject section, name section, and 1968-1970, technical reports.