LEADER 05006nam 22009855 450 001 9910818059203321 005 20230810141032.0 010 $a1-281-10797-2 010 $a9786611107970 010 $a0-8176-4606-X 024 7 $a10.1007/978-0-8176-4606-6 035 $a(CKB)1000000000403037 035 $a(EBL)337241 035 $a(OCoLC)476154401 035 $a(SSID)ssj0000244488 035 $a(PQKBManifestationID)11219768 035 $a(PQKBTitleCode)TC0000244488 035 $a(PQKBWorkID)10171070 035 $a(PQKB)10169874 035 $a(DE-He213)978-0-8176-4606-6 035 $a(MiAaPQ)EBC337241 035 $a(Au-PeEL)EBL337241 035 $a(CaPaEBR)ebr10206237 035 $a(CaONFJC)MIL110797 035 $a(PPN)123734207 035 $a(EXLCZ)991000000000403037 100 $a20100301d2008 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 $a1st ed. 2008. 210 1$aBoston, MA :$cBirkhäuser Boston :$cImprint: Birkhäuser,$d2008. 215 $a1 online resource (500 p.) 225 1 $aSystems & Control: Foundations & Applications,$x2324-9757 300 $aDescription based upon print version of record. 311 $a0-8176-3255-7 320 $aIncludes bibliographical references and index. 327 $aLyapunov and Lyapunov-like functions -- 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 -- (Sub-)Optimal control -- Set-theoretic estimation -- Related topics. 330 $aThis self-contained monograph describes basic set-theoretic methods for control and provides a discussion of their links to fundamental problems in Lyapunov stability analysis and stabilization, optimal control, control under constraints, persistent disturbance rejection, and uncertain systems analysis and synthesis. New computer technology has catalyzed a resurgence of research in this area, particularly in the development of set-theoretic techniques, many of which are computationally demanding. The work presents several established and potentially new applications, along with numerical examples and case studies. A key theme of the presentation is the trade-off between exact (but computationally intensive) and approximate (but conservative) solutions to problems. Mathematical language is kept to the minimum necessary for the adequate formulation and statement of main concepts. Numerical algorithms for the solution of the proposed problems are described in detail. Set-Theoretic Methods in Control is accessible to readers familiar with the basics of systems and control theory; prerequisites such as convexity theory are included. The text provides a solid foundation of mathematical techniques and applications and also features avenues for further theoretical study. Aimed primarily at graduate students and researchers in applied mathematics and engineering, the book will also appeal to practitioners since it contains extensive references to the literature and supplies many recipes for solving significant control problems. 410 0$aSystems & Control: Foundations & Applications,$x2324-9757 606 $aControl engineering 606 $aSystem theory 606 $aControl theory 606 $aRobotics 606 $aAutomation 606 $aMathematical optimization 606 $aCalculus of variations 606 $aEngineering mathematics 606 $aEngineering$xData processing 606 $aComputational intelligence 606 $aControl and Systems Theory 606 $aSystems Theory, Control 606 $aControl, Robotics, Automation 606 $aCalculus of Variations and Optimization 606 $aMathematical and Computational Engineering Applications 606 $aComputational Intelligence 615 0$aControl engineering. 615 0$aSystem theory. 615 0$aControl theory. 615 0$aRobotics. 615 0$aAutomation. 615 0$aMathematical optimization. 615 0$aCalculus of variations. 615 0$aEngineering mathematics. 615 0$aEngineering$xData processing. 615 0$aComputational intelligence. 615 14$aControl and Systems Theory. 615 24$aSystems Theory, Control . 615 24$aControl, Robotics, Automation. 615 24$aCalculus of Variations and Optimization. 615 24$aMathematical and Computational Engineering Applications. 615 24$aComputational Intelligence. 676 $a629.8312 700 $aBlanchini$b Franco$0755598 701 $aMiani$b Stefano$0148369 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910818059203321 996 $aSet-theoretic methods in control$91522638 997 $aUNINA