{"product_id":"9783031791130","title":"Generalized Homogeneity in Systems and Control: Finite- and Infinite-Dimensional Systems","description":"\u003ch1\u003eGeneralized Homogeneity in Systems and Control: Finite- and Infinite-Dimensional Systems\u003c\/h1\u003e \u003ch2\u003ePolyakov, Andrey\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eThe second edition of \u003cem\u003eGeneralized Homogeneity in Systems and Control\u003c\/em\u003e is an introduction to the theory of homogeneous systems, useful for the simplification of many types of nonlinear control problem. It propounds methods that can be employed when linearization proves unsuitable and provides a unified approach to stability and robustness analysis, control and observer design, and system discretization.\u003c\/p\u003e\n\n\u003cp\u003eThe second edition expands the coverage of finite- and infinite-dimensional systems in this two-volume set (also available as separate volumes). The results are better systematized and easier for readers to study and assimilate.\u003c\/p\u003e\n\n\u003cp\u003e\u003cem\u003eGeneralized Homogeneity in Systems and Control \u003c\/em\u003e(second edition) includes the following key features:\u003c\/p\u003e\n\n\u003cul\u003e\n\t\u003cli\u003emathematical models of dynamical systems;\u003c\/li\u003e\n\t\u003cli\u003ethe theory of linear dilations in Euclidean, Banach and Hilbert spaces (including Lebesgue and Sobolev spaces);\u003c\/li\u003e\n\t\u003cli\u003ehomogeneous control and estimation;\u003c\/li\u003e\n\t\u003cli\u003esimple methods for an upgrade of existing control laws;\u003c\/li\u003e\n\t\u003cli\u003enumerical schemes for a consistent digital implementation of homogeneous algorithms;\u003c\/li\u003e\n\t\u003cli\u003eexperimental results that confirm an improvement of PID controllers;\u003c\/li\u003e\n\t\u003cli\u003eabstract differential equations with homogeneous operators (including differential operators);\u003c\/li\u003e\n\t\u003cli\u003erewritten, reorganized and original chapters with the addition of substantial new material;\u003c\/li\u003e\n\t\u003cli\u003erobustness analysis of infinite-dimensional homogeneous systems;\u003c\/li\u003e\n\t\u003cli\u003ehomogeneous control in a Hilbert space; and\u003c\/li\u003e\n\t\u003cli\u003econsistent discretization of homogeneous systems.\u003c\/li\u003e\n\u003c\/ul\u003e\n\n\u003cp\u003eIllustrative examples – numerical results, computer simulations and real experiments – support all the theoretical material. The coverage of finite- and infinite-dimensional systems presented in this set will be of interest to graduate students and academic researchers in control theory from engineering and applied-mathematical backgrounds and to practising control engineers.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2025-08-06\u003c\/p\u003e \u003cp\u003eFormat: Multi-component\u003c\/p\u003e \u003cp\u003eISBN-13: 9783031791130\u003c\/p\u003e \u003cp\u003eDOI: \u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 950\u003c\/p\u003e ","brand":"Springer","offers":[{"title":"Default Title","offer_id":44375266263180,"sku":"9783031791130","price":225.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783031791130_fa8c730b-8baf-47ad-a600-4f8e4994cac9.jpg?v=1755371793","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783031791130","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}