Stability Analysis and Design for Nonlinear Singular Systems

Singular 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 m...

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Xehetasun bibliografikoak
Egile Nagusiak: Yang, Chunyu, Zhang, Qingling (Egilea), Zhou, Linna (Egilea)
Formatua: Livre numérique
Hizkuntza:Anglais
Argitaratua: Berlin, Heidelberg : Springer Berlin Heidelberg 2013.
Cham : Springer Nature
Saila:Lecture Notes in Control and Information Sciences 435
Sarrera elektronikoa:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
Oharra: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Stability Analysis and Design for Nonlinear Singular Systems, Texte imprimé, 9783642321450
• Stability Analysis and Design for Nonlinear Singular Systems, Texte imprimé, 9783642321436
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100 1 |a Yang, Chunyu. 
245 1 0 |a Stability Analysis and Design for Nonlinear Singular Systems   |c by Chunyu Yang, Qingling Zhang, Linna Zhou. 
260 |a Berlin, Heidelberg :  |b Springer Berlin Heidelberg. 
260 |a Cham :  |b Springer Nature,  |c 2013. 
490 0 |a Lecture Notes in Control and Information Sciences  |v 435  |x 1610-7411 
500 |a Archives Springer e-books (Licence nationale) 
500 |a Archives Springer e-books (Licence nationale) 
505 0 |a Practical 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. 
506 |a Accès en ligne pour les établissements français bénéficiaires des licences nationales 
506 |a Accès soumis à abonnement pour tout autre établissement 
506 |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. chttps://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 
520 |a Singular 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 perturbedsystems 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. 
700 1 |a Zhang, Qingling.  |4 aut 
700 1 |a Zhou, Linna.  |4 aut 
776 0 |t Stability Analysis and Design for Nonlinear Singular Systems  |b Texte imprimé  |z 9783642321450 
776 0 |t Stability Analysis and Design for Nonlinear Singular Systems  |b Texte imprimé  |z 9783642321436 
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