{"product_id":"9783642647871","title":"Springer Series in Information Sciences","description":"\u003ch1\u003eSpringer Series in Information Sciences\u003c\/h1\u003e \u003ch2\u003eChui, Charles K.; Chen, Guanrong\u003c\/h2\u003e \u003cp\u003eA 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 AAK), 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.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2014-04-15\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783642647871\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-642-61312-8\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 155\u003c\/p\u003e ","brand":"Springer Berlin Heidelberg","offers":[{"title":"Default Title","offer_id":44408088264844,"sku":"9783642647871","price":49.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783642647871_d8e5221c-ec1f-4acb-8b75-0f4593a62771.jpg?v=1775743914","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783642647871","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}