{"product_id":"generalized-homogeneity-in-systems-and-control-9783030384487","title":"Generalized Homogeneity in Systems and Control","description":"\u003cp\u003e • Author(s): Andrey Polyakov\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: Automation\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eFrom the Back Cover\u003c\/b\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003eThis monograph introduces the theory of generalized homogeneous systems governed by differential equations in both Euclidean (finite-dimensional) and Banach\/Hilbert (infinite-dimensional) spaces. It develops methods of stability and robustness analysis, control design, state estimation and discretization of homogeneous control systems. \u003ci\u003eGeneralized Homogeneity in Systems and Control \u003c\/i\u003eis structured in two parts. Part I discusses various models of control systems and related tools for their analysis, including Lyapunov functions. Part II deals with the analysis and design of homogeneous control systems. Some of the key features of the text include: \u003c\/p\u003e \u003cli\u003emathematical models of dynamical systems in finite-dimensional and infinite-dimensional spaces;\u003c\/li\u003e \u003cli\u003ethe theory of linear dilations in Banach spaces;\u003c\/li\u003e\u003cli\u003ehomogeneous control and estimation;\u003c\/li\u003e\u003cli\u003esimple methods for an \"upgrade\" of existing linear control laws;\u003c\/li\u003e \u003cli\u003enumerical schemes for a consistent digital implementation of homogeneous algorithms; and\u003c\/li\u003e \u003cli\u003eexperiments confirming an improvement of PID controllers.\u003c\/li\u003e \u003cp\u003eThe advanced mathematical material will be of interest to researchers, mathematicians working in control theory and mathematically oriented control engineers.\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Hardcover","offer_id":45276870869143,"sku":"9783030384487","price":7028.0,"currency_code":"INR","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9783030384487.webp?v=1769286878","url":"https:\/\/atlanticbooks.com\/products\/generalized-homogeneity-in-systems-and-control-9783030384487","provider":"Atlantic Books","version":"1.0","type":"link"}