LEADER 03529nam 2200493 450 001 9910483435903321 005 20220127152839.0 010 $a3-030-72026-8 035 $a(CKB)4100000011949966 035 $a(MiAaPQ)EBC6633501 035 $a(Au-PeEL)EBL6633501 035 $a(OCoLC)1253473308 035 $a(PPN)255883366 035 $a(EXLCZ)994100000011949966 100 $a20220127d2021 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aNonlinear time-delay systems $ea geometric approach /$fClaudia Califano, Claude H. Moog 210 1$aCham, Switzerland :$cSpringer,$d[2021] 210 4$dİ2021 215 $a1 online resource (x, 105 pages) 225 1 $aSpringerBriefs in Electrical and Computer Engineering. Control, Automation and Robotics 311 1 $a3-030-72025-X 320 $aIncludes bibliographical references. 327 $aIntro -- Preface -- Contents -- 1 Preliminaries -- 1.1 The Class of Systems -- 1.2 Integrability -- 1.3 Geometric Behavior -- 1.4 Accessibility and Observability Properties -- 1.5 Notation -- 1.6 Recalls on Non-commutative Algebra -- 2 Geometric Tools for Time-Delay Systems -- 2.1 The Initialization of the Time-Delay System Versus the Initialization of the Delay-Free Extended System -- 2.2 Non-independence of the Inputs of the Extended System -- 2.3 The Differential Form Representation -- 2.4 Generalized Lie Derivative and Generalized Lie Bracket -- 2.5 Some Remarks on the Polynomial Lie Bracket -- 2.6 The Action of Changes of Coordinates -- 2.7 The Action of Static State Feedback Laws -- 2.8 Problems -- 3 The Geometric Framework-Results on Integrability -- 3.1 Some Remarks on Left and Right Integrability -- 3.2 Integrability of a Right-Submodule -- 3.2.1 Involutivity of a Right-Submodule Versus its Integrability -- 3.2.2 Smallest 0-Integrable Right-Submodule Containing ?(?] -- 3.2.3 p-Integrability -- 3.2.4 Bicausal Change of Coordinates -- 3.3 Integrability of a Left-Submodule -- 3.4 Problems -- 4 Accessibility of Nonlinear Time-Delay Systems -- 4.1 The Accessibility Submodules in the Delay Context -- 4.2 A Canonical Decomposition with Respect to Accessibility -- 4.3 On the Computation of the Accessibility Submodules -- 4.4 On t-Accessibility of Time-Delay Systems -- 4.5 Problems -- 5 Observability -- 5.1 Decomposing with Respect to Observability -- 5.1.1 The Case of Autonomous Systems -- 5.2 On Regular Observability for Time-Delay Systems -- 5.3 Problems -- 6 Applications of Integrability -- 6.1 Characterization of the Chained Form with Delays -- 6.2 Input-Output Feedback Linearization -- 6.2.1 Introductory Examples -- 6.2.2 Static Output Feedback Solutions -- 6.2.3 Hybrid Output Feedback Solutions -- 6.3 Input-State Linearization. 327 $a6.3.1 Introductory Example -- 6.3.2 Solution -- 6.4 Normal Form -- 6.5 Problems -- Series Editor Biographies -- References. 410 0$aSpringerBriefs in electrical and computer engineering.$pControl, automation and robotics. 606 $aTime delay systems 606 $aNonlinear control theory 615 0$aTime delay systems. 615 0$aNonlinear control theory. 676 $a629.83 700 $aCalifano$b Claudia$0923880 702 $aMoog$b C. H.$f1955- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910483435903321 996 $aNonlinear Time-Delay Systems$92073341 997 $aUNINA