LEADER 05564nam 22008295 450 001 9910299787603321 005 20200701163030.0 010 $a3-319-17933-0 024 7 $a10.1007/978-3-319-17933-9 035 $a(CKB)3710000000444401 035 $a(EBL)3567600 035 $a(OCoLC)940511542 035 $a(SSID)ssj0001534848 035 $a(PQKBManifestationID)11873116 035 $a(PQKBTitleCode)TC0001534848 035 $a(PQKBWorkID)11498353 035 $a(PQKB)11647727 035 $a(DE-He213)978-3-319-17933-9 035 $a(MiAaPQ)EBC3567600 035 $a(PPN)187689695 035 $a(EXLCZ)993710000000444401 100 $a20150702d2015 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aSet-Theoretic Methods in Control /$fby Franco Blanchini, Stefano Miani 205 $a2nd ed. 2015. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2015. 215 $a1 online resource (640 p.) 225 1 $aSystems & Control: Foundations & Applications,$x2324-9749 300 $aDescription based upon print version of record. 311 $a3-319-17932-2 320 $aIncludes bibliographical references and index. 327 $aPreface -- Introduction -- Lyapunov and Lyapunov-like Function -- Convex Sets and Their Representation -- Invariant Sets -- Dynamic Programming -- Set-Theoretic Analysis of Dynamic Systems -- Control of Parameter-Varying Systems -- Control with Time-Domain Constraints -- Switching and Switched Systems -- (Sub-)Optimal Control -- Set-Theoretic Estimation -- Related Topics -- Appendix -- References -- Index. 330 $aThe second edition of this monograph describes the set-theoretic approach for the control and analysis of dynamic systems, both from a theoretical and practical standpoint.  This approach is linked to fundamental control problems, such as Lyapunov stability analysis and stabilization, optimal control, control under constraints, persistent disturbance rejection, and uncertain systems analysis and synthesis.  Completely self-contained, this book provides a solid foundation of mathematical techniques and applications, extensive references to the relevant literature, and numerous avenues for further theoretical study. All the material from the first edition has been updated to reflect the most recent developments in the field, and a new chapter on switching systems has been added.  Each chapter contains examples, case studies, and exercises to allow for a better understanding of theoretical concepts by practical application. The mathematical language is kept to the minimum level necessary for the adequate formulation and statement of the main concepts, yet allowing for a detailed exposition of the numerical algorithms for the solution of the proposed problems. Set-Theoretic Methods in Control will appeal to both researchers and practitioners in control engineering and applied mathematics.  It is also well-suited as a textbook for graduate students in these areas. Praise for the First Edition "This is an excellent book, full of new ideas and collecting a lot of diverse material related to set-theoretic methods. It can be recommended to a wide control community audience." -          B. T. Polyak, Mathematical Reviews "This book is an outstanding monograph of a recent research trend in control.  It reflects the vast experience of the authors as well as their noticeable contributions to the development of this field...[It] is highly recommended to PhD students and researchers working in control engineering or applied mathematics. The material can also be used for graduate courses in these areas." -          Octavian Pastravanu, Zentralblatt MATH. 410 0$aSystems & Control: Foundations & Applications,$x2324-9749 606 $aSystem theory 606 $aAutomatic control 606 $aCalculus of variations 606 $aDynamics 606 $aErgodic theory 606 $aRobotics 606 $aAutomation 606 $aSystems Theory, Control$3https://scigraph.springernature.com/ontologies/product-market-codes/M13070 606 $aControl and Systems Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/T19010 606 $aCalculus of Variations and Optimal Control; Optimization$3https://scigraph.springernature.com/ontologies/product-market-codes/M26016 606 $aDynamical Systems and Ergodic Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M1204X 606 $aRobotics and Automation$3https://scigraph.springernature.com/ontologies/product-market-codes/T19020 615 0$aSystem theory. 615 0$aAutomatic control. 615 0$aCalculus of variations. 615 0$aDynamics. 615 0$aErgodic theory. 615 0$aRobotics. 615 0$aAutomation. 615 14$aSystems Theory, Control. 615 24$aControl and Systems Theory. 615 24$aCalculus of Variations and Optimal Control; Optimization. 615 24$aDynamical Systems and Ergodic Theory. 615 24$aRobotics and Automation. 676 $a511.322 700 $aBlanchini$b Franco$4aut$4http://id.loc.gov/vocabulary/relators/aut$0755598 702 $aMiani$b Stefano$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299787603321 996 $aSet-Theoretic Methods in Control$92529244 997 $aUNINA