04454nam a22006375i 4500 978-3-031-58156-4 DE-He213 20251030112933.0 cr nn 008mamaa 240903s2024 sz | s |||| 0|eng d 9783031581564 978-3-031-58156-4 10.1007/978-3-031-58156-4 doi Q295 QA402.3-402.37 GPFC bicssc SCI064000 bisacsh GPFC thema Ouvrard, Régis. author. (orcid)0000-0003-0534-4497 https://orcid.org/0000-0003-0534-4497 aut http://id.loc.gov/vocabulary/relators/aut 83592 Partial Moments in System Identification [electronic resource] / by Régis Ouvrard, Thierry Poinot, Jean-Claude Trigeassou. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Springer, 2024. XII, 172 p. 37 illus., 34 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Lecture Notes in Control and Information Sciences, 1610-7411 ; 494 Chapter 1. An introduction about moments in identification -- Chapter 2. An introductory example -- Chapter 3. Partial moments in continuous-time -- Chapter 4. Partial moments in discrete-time -- Chapter 5. Algebraic identification, a partial moment approach -- Chapter 6. Continuous-time subspace based method -- Chapter 7. Continuous-time linear parameter varying model -- Chapter 8. Multidimensional partial moments -- Chapter 9. Perspectives -- Referrences. This book provides a complete round-up of developments concerned with the application of partial moments in system identification and data-driven modelling; it captures the essence of work carried out at the Laboratoire d'Informatique et d'Automatique pour les Systèmes for more than 40 years. The book begins with introductory material, describing both the mathematical tools associated with partial moments and reinitialized partial moments and an example demonstrating their use. The authors then proceed to show how these tools can be used for the identification of continuous-time linear models, discrete-time linear models, continuous-time linear state-space models, linear parameter-varying models and multidimensional models based on partial differential equations. The properties and performances of each of these approaches are presented. The analogy with algebraic approaches is proved, thus opening perspectives for extension to other fields. The text removes some long-standing limitations on the implementation of partial-moment-based tools in system identification. This book is of interest to researchers and postgraduates studying system identification, control theory, applied mathematics and computer science. It is also useful for engineers working on industrial applications of parametric estimation of mathematical models. . System theory. 66519 Control theory. 68675 Control engineering. Differential equations. Computer science Mathematics. 64041 Discrete mathematics. Systems Theory, Control. 68676 Control and Systems Theory. 65868 Differential Equations. Discrete Mathematics in Computer Science. Poinot, Thierry. author. (orcid)0000-0003-1533-126X https://orcid.org/0000-0003-1533-126X aut http://id.loc.gov/vocabulary/relators/aut 83593 Trigeassou, Jean-Claude. author. (orcid)0000-0003-2587-9958 https://orcid.org/0000-0003-2587-9958 aut http://id.loc.gov/vocabulary/relators/aut 83594 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031581557 Printed edition: 9783031581571 Printed edition: 9783031581588 Lecture Notes in Control and Information Sciences, 1610-7411 ; 494 73486 https://doi.org/10.1007/978-3-031-58156-4 ZDB-2-ENG ZDB-2-SXE ZDB-2-LNI 63050 63050