LEADER 05234nam 2200601Ia 450 001 9910437913303321 005 20200520144314.0 010 $a3-642-32144-5 024 7 $a10.1007/978-3-642-32144-3 035 $a(CKB)3390000000030215 035 $a(SSID)ssj0000746141 035 $a(PQKBManifestationID)11392824 035 $a(PQKBTitleCode)TC0000746141 035 $a(PQKBWorkID)10860107 035 $a(PQKB)11703178 035 $a(DE-He213)978-3-642-32144-3 035 $a(MiAaPQ)EBC3071004 035 $a(PPN)168321076 035 $a(EXLCZ)993390000000030215 100 $a20120702d2013 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aStability analysis and design for nonlinear singular systems /$fChunyu Yang, Qingling Zhang, and Linna Zhou 205 $a1st ed. 2013. 210 $aHeidelberg ;$aNew York $cSpringer$dc2013 215 $a1 online resource (XII, 212 p. 32 illus.) 225 0$aLecture notes in control and information sciences,$x0170-8643 ;$v435 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-642-32143-7 320 $aIncludes bibliographical references (p. [197]-208) and index. 327 $aPractical stability analysis and synthesis for nonlinear singular systems                         -- 3 Strongly absolute stability analysis for Lur?e singular -- 4 Input-to-state stability analysis and design for Lur?e singular systems -- 5 Observer design for nonlinear singular systems                                            -- 6 Absolute stability of Lur?e singularly perturbed systems                                    -- 7 Multi-objective control for T-S fuzzy singularly perturbed systems. 4 Input-to-state stability analysis and design for Lur?e singular systems -- 5 Observer design for nonlinear singular systems                                            -- 6 Absolute stability of Lur?e singularly perturbed systems                                    -- 7 Multi-objective control for T-S fuzzy singularly perturbed systems. 330 $aSingular systems which are also referred to as descriptor systems, semi-state systems, differential- algebraic systems or generalized state-space systems have attracted much attention because of their extensive applications in the Leontief dynamic model, electrical and mechanical models, etc. This monograph presented up-to-date research developments and references on stability analysis and design of nonlinear singular systems. It investigated the problems of practical stability, strongly absolute stability, input-state stability and observer design for nonlinear singular systems and the problems of absolute stability and multi-objective control for nonlinear singularly perturbed systems by using Lyapunov stability theory, comparison principle, S-procedure and linear matrix inequality (LMI), etc. Practical stability, being quite different from stability in the sense of Lyapunov, is a significant performance specification from an engineering point of view. The basic concepts and results on practical stability for standard state-space systems were generalized to singular systems. For Lur?e type descriptor systems (LDS) which were the feedback interconnection of a descriptor system with a static nonlinearity, strongly absolute stability was defined and Circle criterion and Popov criterion were derived. The notion of input-state stability (ISS) for nonlinear singular systems was defined based on the concept of ISS for standard state-space systems and the characteristics of singular systems. LMI-based sufficient conditions for ISS of Lur?e singular systems were proposed. Furthermore, observer design for nonlinear singular systems was studied and some observer design methods were proposed by the obtained stability results and convex optimization algorithms. Finally, absolute stability and multi-objective control of nonlinear singularly perturbed systems were considered. By Lyapunov functions, absolute stability criteria of Lur?e singularly perturbed systems were proposed and multi-objective control of T-S fuzzy singularly perturbed systems was achieved. Compared with the existing results, the obtained methods do not depend on the decomposition of the original system and can produce a determinate upper bound for the singular perturbation parameter. 410 0$aLecture Notes in Control and Information Sciences,$x0170-8643 ;$v435 606 $aNonlinear systems 606 $aControl theory 606 $aSystem analysis 615 0$aNonlinear systems. 615 0$aControl theory. 615 0$aSystem analysis. 676 $a003.75 700 $aYang$b Chunyu$01064642 701 $aZhang$b Qingling$0720887 701 $aZhou$b Linna$01756329 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910437913303321 996 $aStability analysis and design for nonlinear singular systems$94193562 997 $aUNINA