LEADER 03758nam 22008175 450 001 9910299825903321 005 20251113182331.0 010 $a3-662-47334-8 024 7 $a10.1007/978-3-662-47334-4 035 $a(CKB)3710000000416940 035 $a(EBL)2094885 035 $a(SSID)ssj0001501301 035 $a(PQKBManifestationID)11771917 035 $a(PQKBTitleCode)TC0001501301 035 $a(PQKBWorkID)11524645 035 $a(PQKB)10769379 035 $a(DE-He213)978-3-662-47334-4 035 $a(MiAaPQ)EBC2094885 035 $a(PPN)186027141 035 $a(EXLCZ)993710000000416940 100 $a20150529d2015 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aZhang Functions and Various Models /$fby Yunong Zhang, Dongsheng Guo 205 $a1st ed. 2015. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2015. 215 $a1 online resource (242 p.) 300 $aDescription based upon print version of record. 311 08$a3-662-47333-X 320 $aIncludes bibliographical references at the end of each chapters. 327 $aTime-Varying Reciprocal -- Time-Varying Inverse Square Root -- Time-Varying Square Root -- System of Time-Varying Linear Equations -- Over-Determined and Under-Determined Systems of Time-Varying Linear Equations -- Time-Varying Linear Matrix-Vector Inequality -- Time-VaryingMatrix Inverse -- Time-VaryingMatrix Left Pseudoinverse -- Time-VaryingMatrix Right Pseudoinverse -- Time-VaryingMatrix Square Root -- Time-Varying Complex Reciprocal -- Time-Varying Complex Matrix Inverse -- Time-Varying Complex Matrix Generalized Inverse -- Application to Fixed-Base Robot RMP -- Application to Mobile Robot RMP. 330 $aThis book focuses on solving different types of time-varying problems. It presents various Zhang dynamics (ZD) models by defining various Zhang functions (ZFs) in real and complex domains. It then provides theoretical analyses of such ZD models and illustrates their results. It also uses simulations to substantiate their efficacy and show the feasibility of the presented ZD approach (i.e., different ZFs leading to different ZD models), which is further applied to the repetitive motion planning (RMP) of redundant robots, showing its application potential. 606 $aComputational intelligence 606 $aComputer science$xMathematics 606 $aCoding theory 606 $aInformation theory 606 $aAutomatic control 606 $aRobotics 606 $aAutomation 606 $aComputational Intelligence 606 $aMathematical Applications in Computer Science 606 $aCoding and Information Theory 606 $aControl, Robotics, Automation 606 $aControl and Systems Theory 615 0$aComputational intelligence. 615 0$aComputer science$xMathematics. 615 0$aCoding theory. 615 0$aInformation theory. 615 0$aAutomatic control. 615 0$aRobotics. 615 0$aAutomation. 615 14$aComputational Intelligence. 615 24$aMathematical Applications in Computer Science. 615 24$aCoding and Information Theory. 615 24$aControl, Robotics, Automation. 615 24$aControl and Systems Theory. 676 $a003.54 676 $a006.3 676 $a519 676 $a620 676 $a629.8 676 $a629.892 700 $aZhang$b Yunong$4aut$4http://id.loc.gov/vocabulary/relators/aut$0720824 702 $aGuo$b Dongsheng$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a9910299825903321 996 $aZhang Functions and Various Models$92525671 997 $aUNINA