{"product_id":"9783031762451","title":"Generalized Homogeneity in Systems and Control Volume I : Finite-Dimensional Systems (Communications and Control Engineering) (2ND)","description":"\u003cp\u003eThis book is an introduction to the theory of homogeneous systems, useful for the simplification of many types of nonlinear control problems. 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\u003cp\u003eThe second edition splits the coverage of homogeneity, allowing expanded coverage of finite-dimensional systems (in this book) and infinite-dimensional systems (in Volume II). The results are better systematized and easier for readers to study and assimilate.\u003c\/p\u003e\u003cp\u003eThe first volume details the concepts of finite-time and fixed-time stability. Key features of the book include:\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003emathematical models of dynamical systems in finite-dimensional spaces;\u003c\/li\u003e\n\u003cli\u003ethe theory of linear dilations in Euclidean spaces;\u003c\/li\u003e\n\u003cli\u003ehomogeneous control and estimation;\u003c\/li\u003e\n\u003cli\u003eextensively expanded and original chapters with entirely new treatments of digitization, safety-critical systems, neural networks, and multiagent control;\u003c\/li\u003e\n\u003cli\u003esimple methods for an upgrade of existing linear control laws;\u003c\/li\u003e\n\u003cli\u003enumerical schemes for a consistent digital implementation of homogeneous algorithms; and\u003c\/li\u003e\n\u003cli\u003eexperimental results that confirm an improvement of PID controllers.\u003c\/li\u003e\n\u003c\/ul\u003e\u003cp\u003eIllustrative examples-numerical results, computer simulations, and real experiments-support all the theoretical material. The coverage of finite-dimensional systems presented in this book is of interest to graduate students of control theory from engineering and applied-mathematical backgrounds and to practising control engineers.\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e \u003cp\u003eChapter 1. Introduction.- Chapter 2. Finite-Dimensional Dynamical Systems.- Chapter 3. Stability and Robustness.- Chapter 4. Method of Lyapunov Function.- Chapter 5. Linear Dilation in Euclidean Space.- Chapter 6. Finite-dimensional Homogeneous Mappings.- Chapter 7. Analysis of Homogeneous Systems.- Chapter 8. Discretization of Homogeneous Systems.- Chapter 9. Homogeneous Stabilization of Linear Plant.- Chapter 10. Digitization of Homogeneous Control.- Chapter 11. Upgrading Linear Controller to Homogeneous Feedback.- Chapter 12. Safety-Critical Homogeneous Systems.- Chapter 13. Homogeneous Optimal Control.- Chapter 14. Homogeneous State Estimation.- Chapter 15. Homogeneous Control of Nonlinear Plants.- Chapter 16. Homogeneous Artificial Neural Network.- Chapter 17. Homogeneity in Multi-Agent Systems.- Appendix.\u003c\/p\u003e \u003cp\u003e\u003cstrong\u003eAndrey Polyakov\u003c\/strong\u003e received his Ph.D. in Systems Analysis and Control from the Voronezh State University, Russia in 2005. Until 2010, he was an associate professor at the same university. In 2007 and 2008, he was also a research associate with the CINVESTAV-IPN center in Mexico City. From 2010 up to 2013, he was a leader researcher at the Institute of the Control Sciences, Russian Academy of Sciences. In 2013, he joined Inria, Lille, France, as a researcher. He has co-authored more than 100 papers in peer-reviewed journals and three books \u003cem\u003eAttractive Ellipsoids in Robust Control\u003c\/em\u003e, \u003cem\u003eRoad Map for Sliding Mode Control Design\u003c\/em\u003e and \u003cem\u003eGeneralized Homogeneity in Systems and Control\u003c\/em\u003e 1st Ed. His research interests include various aspects of nonlinear control and estimation theory such as finite-time\/fixed-time control, generalized homogeneity, and Lyapunov methods for both finite-dimensional and infinite-dimensional systems.\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Default Title","offer_id":48865101709547,"sku":"00000_00000_00000_00000","price":364.4,"currency_code":"SGD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0758\/4484\/5803\/files\/9783031762451-1.jpg?v=1781717780","url":"https:\/\/kinokuniya.com.sg\/products\/9783031762451","provider":"Books Kinokuniya Singapore","version":"1.0","type":"link"}