LEADER 01022nam0-22003491i-450- 001 990001435080403321 010 $a0-387-94475-3 035 $a000143508 035 $aFED01000143508 035 $a(Aleph)000143508FED01 035 $a000143508 100 $a--------d--------km-y0itay50------ba 101 0 $aeng 200 1 $a<>introduction to infinite-dimensional linear systems theory$fRuth F Curtain, Hans Zwart 210 $aNew York [etc.]$cSpringer$dc1995 215 $axv, 698 p.$d25 cm 225 1 $aTexts in applied mathematics$v21 610 0 $aAnalisi dei sistemi 610 0 $aSistemi lineari 610 0 $aTeoria del controllo 676 $a003.74 700 1$aCurtain,$bRuth F.$025122 702 1$aZwart,$bH.J. 801 0$aIT$bUNINA$gRICA$2UNIMARC 901 $aBK 912 $a990001435080403321 952 $aC-63-(21$b16255$fMA1 959 $aMA1 962 $a93C05 962 $a35A10 996 $aIntroduction to infinite-dimensional linear systems theory$9375023 997 $aUNINA LEADER 01288nam0-2200397li-450- 001 990003683890203316 005 20120904172305.0 010 $a88-503-3106-2 035 $a000368389 035 $aUSA01000368389 035 $a(ALEPH)000368389USA01 035 $a000368389 100 $a20120904d2012----km-y0itaa50------ba2002005061492004----y0itay0103----ba 101 0 $aita 102 $aIT 105 $aa---z---001yy 200 1 $aReti di calcolatori$fLarry L. Peterson, Bruce S. Davie$gedizione italiana a cura di Marcello Dalpasso 210 $aMilano$cApogeo$d2012 215 $aXXV, 714 p.$cill.$d24 cm 225 2 $aIdee & Strumenti 410 0$12001$aIdee & Strumenti 454 1 $12001$aComputer networks: a systems approach$949631 606 0 $aReti di elaboratori$xArchitettura$2BNCF 676 $z004.65 700 1$aPETERSON,$bLarry L.$0463757 701 1$aDAVIE,$bBruce S.$0499835 801 $aIT$bsalbc$gISBD 912 $a990003683890203316 951 $a004.65 PET/A$b39646 CBA$c004$d00335656 959 $aBK 969 $aSCI 979 $aANGELA$b90$c20120904$lUSA01$h1714 979 $aANGELA$b90$c20120904$lUSA01$h1721 979 $aANGELA$b90$c20120904$lUSA01$h1723 996 $aComputer networks: a systems approach$949631 997 $aUNISA LEADER 06593nam 2200577 450 001 9910484062803321 005 20240130143323.0 010 $a3-030-70833-0 035 $a(CKB)4100000011807052 035 $a(MiAaPQ)EBC6527503 035 $a(Au-PeEL)EBL6527503 035 $a(OCoLC)1243350461 035 $a(PPN)254721109 035 $a(EXLCZ)994100000011807052 100 $a20211015d2021 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aAnalysis and design of nonlinear systems in the frequency domain /$fYunpeng Zhu 210 1$aCham, Switzerland :$cSpringer,$d[2021] 210 4$d©2021 215 $a1 online resource (xxi, 164 pages) $cillustrations 225 1 $aSpringer Theses, Recognizing Outstanding Ph.D. Research 311 $a3-030-70832-2 320 $aIncludes bibliographical references. 327 $aIntro -- Supervisor's Foreword -- Preface -- Acknowledgements -- Contents -- Contributors -- Abbreviations -- 1 Introduction -- 1.1 Background -- 1.1.1 Modelling of Nonlinear Systems -- 1.1.2 Frequency Domain Analysis and Design of Nonlinear Systems -- 1.1.3 LS Methods in Nonlinear System Analyses -- 1.1.4 Convergence Issues with the Frequency Analysis of Nonlinear Systems -- 1.2 Aim, Objectives and Contributions -- 1.3 Thesis Layout -- References -- 2 Nonlinear Systems and the Frequency Domain Representations -- 2.1 Introduction -- 2.2 Polynomial Models of Nonlinear Systems -- 2.2.1 The NDE Model of Nonlinear Systems -- 2.2.2 The Polynomial NARX Model of Nonlinear Systems -- 2.2.3 The NARX-M-for-D of Nonlinear Systems -- 2.3 The Frequency Domain Representations of Nonlinear Systems -- 2.3.1 The Volterra Series Representation -- 2.3.2 The Generalised Frequency Response Functions (GFRFs) of Nonlinear Systems -- 2.3.3 The Nonlinear Output Frequency Response Functions (NOFRFs) of Nonlinear Systems -- 2.3.4 The Output Frequency Response Function (OFRF) of Nonlinear Systems -- 2.4 Conclusions -- References -- 3 Generalized Associated Linear Equations (GALEs) with Applications to Nonlinear System Analyses -- 3.1 Introduction -- 3.2 The Associated Linear Equations (ALEs) of Nonlinear Systems -- 3.2.1 The ALEs of Duffing Equations -- 3.2.2 The ALEs of the NARX Model -- 3.3 The Generalized Associated Linear Equations (GALEs) -- 3.3.1 The Concept of the GALEs -- 3.3.2 Determination of the GALEs -- 3.4 System Analyses Using the GALEs -- 3.4.1 Evaluation of the Output Response of Nonlinear Systems -- 3.4.2 Evaluation of the NOFRFs of Nonlinear Systems -- 3.4.3 Evaluation of the OFRF of Nonlinear Systems -- 3.5 Application of the GALEs to Nonlinear System Modelling, Fault Diagnosis, and Design. 327 $a3.5.1 Application to the Identification of the NDE Model of a Nonlinear System -- 3.5.2 Application to the NOFRFs Based Fault Diagnosis -- 3.5.3 Application to the OFRFs Based Design of Nonlinear Energy Harvester Systems -- 3.6 Conclusions -- References -- 4 The Convergence of the Volterra Series Representation of Nonlinear Systems -- 4.1 Introduction -- 4.2 The NARX Model in the Frequency Domain: Nonlinear Output Characteristic Spectra (NOCS) Model -- 4.3 The Generalized Output Bound Characteristic Function (GOBCF) Based Convergence Analysis -- 4.3.1 A Sufficient Condition of the Convergence -- 4.3.2 The Determination of the GOBCF -- 4.3.3 Convergence Analysis of the Volterra Series Representation of Nonlinear Systems -- 4.3.4 The Procedure for the New Convergence Analysis -- 4.4 Case Studies -- 4.4.1 Case 1-Unplugged Van der Pol Equation -- 4.4.2 Case 2-Duffing Oscillator with Cubic Damping -- 4.5 Conclusions -- References -- 5 The Effects of Both Linear and Nonlinear Characteristic Parameters on the Output Response of Nonlinear Systems -- 5.1 Introduction -- 5.2 The OFRF Based Design of NARX-M-for-D -- 5.2.1 The OFRF of the NARX-M-for-D -- 5.2.2 The Determination of the OFRF of NARX-M-for-D -- 5.2.3 The OFRF Based Design of Nonlinear Systems -- 5.3 The Associated Output Frequency Response Function (AOFRF) -- 5.3.1 Explicit Relationships Between the GFRFs and the Parameters of the NARX Model -- 5.3.2 Two Special Cases -- 5.3.3 The Concept of the Associated Output Frequency Response Function (AOFRF) -- 5.3.4 The AOFRF in Terms of the System Linear and Nonlinear Characteristic Parameters -- 5.3.5 The AOFRF Based Representation of the Output Frequency Response of Nonlinear Systems -- 5.4 Case Studies -- 5.4.1 Case Study 1-The OFRF Based Design of the Vibration Isolation System. 327 $a5.4.2 Case Study 2-The AOFRF Based Representation of the Output Spectrum of a Duffing Nonlinear System -- 5.5 Conclusions -- References -- 6 Nonlinear Damping Based Semi-active Building Isolation System -- 6.1 Introduction -- 6.2 Semi-active Damping System for the Sosokan Building -- 6.2.1 The Sosokan Building and Its Model Representation -- 6.2.2 Semi-active Damping System for the Sosokan Building -- 6.3 Nonlinear Damping Based Semi-active Building Vibration Isolation -- 6.4 Simulation Studies -- 6.4.1 Objectives of Nonlinear Damping Design -- 6.4.2 Effects of Nonlinear Damping Coefficient -- 6.4.3 Effects of Ground Excitation Magnitude -- 6.4.4 Isolation Performance on Higher Floors -- 6.4.5 Isolation Performance in Terms of the Roof Drift -- 6.4.6 Isolation Performance in Terms of Harmonics and a Comparison with the Performance Under LQG Control -- 6.5 Experimental Validation -- 6.6 Conclusions -- References -- 7 Conclusions -- 7.1 Main Contributions of the Present Research -- 7.2 Future Works -- Appendix A Sampling Frequency Independence -- Appendix B Proof of Lemma 5.1. 410 0$aSpringer theses. 606 $aNonlinear systems$xMathematical models 606 $aVolterra equations 606 $aSistemes no lineals$2thub 606 $aModels matemàtics$2thub 606 $aEquacions de Volterra$2thub 608 $aLlibres electrònics$2thub 615 0$aNonlinear systems$xMathematical models. 615 0$aVolterra equations. 615 7$aSistemes no lineals 615 7$aModels matemàtics 615 7$aEquacions de Volterra 676 $a003.75 700 $aZhu$b Yunpeng$0299577 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910484062803321 996 $aAnalysis and design of nonlinear systems in the frequency domain$91904799 997 $aUNINA