{"product_id":"linear-systems-and-optimal-control-book-charles-k-chui-9783642647871","title":"Linear Systems and Optimal Control","description":"A knowledge of linear systems provides a firm foundation for the study of optimal control theory and many areas of system theory and signal processing. State-space techniques developed since the early sixties have been proved to be very effective. The main objective of this book is to present a brief and somewhat complete investigation on the theory of linear systems, with emphasis on these techniques, in both continuous-time and discrete-time settings, and to demonstrate an application to the study of elementary (linear and nonlinear) optimal control theory. An essential feature of the state-space approach is that both time-varying and time-invariant systems are treated systematically. When time-varying systems are considered, another important subject that depends very much on the state-space formulation is perhaps real-time filtering, prediction, and smoothing via the Kalman filter. This subject is treated in our monograph entitled Kalman Filtering with Real-Time Applications published in this Springer Series in Information Sciences (Volume 17). For time-invariant systems, the recent frequency domain approaches using the techniques of Adamjan, Arov, and Krein (also known as AK), balanced realization, and oo H theory via Nevanlinna-Pick interpolation seem very promising, and this will be studied in our forthcoming monograph entitled Mathematical Ap- proach to Signal Processing and System Theory. The present elementary treatise on linear system theory should provide enough engineering and mathe- of these two subjects.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52660958200081,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52660958986513,"sku":"NLS9783642647871","price":44.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783642647871.jpg?v=1762266371","url":"https:\/\/www.worldofbooks.com\/en-gb\/products\/linear-systems-and-optimal-control-book-charles-k-chui-9783642647871","provider":"World of Books ","version":"1.0","type":"link"}