reface I n 1.1 1.2 I 1.3 xv ~ r ~ ~ u c t ~ ~ ~ i Sigrrals Systcm:, OvPrvicw of the Book Exerciscs Is of Continuous LTI-Systems 2.1 DifferenLia.l Eqi ions 2.2 Block Diagrmis 2.3 State-Space Description of LTI-Systcms 2.4 Higher-orcler Differentia.L Equations Rloclc Diagrams and the Si ivlodel 2.5 Equivdcnl StiLt.6?-SI’ii(.e R.epresoiit,atioris 2.6 C‘ontrolla.hle arid C)lnserva.ble Systems 2.7 Summary 2.8 Exercises 1 13 13 17 17 19 29 ~ - ~ y sint the e ~~ ~e ~ u e r i c y - ~ o ~ ~ ~ i ~ i I Coniplex I+equt:rrcies 3.2 Eigenfunctions 3.3 Kxercism Laplace ~ ~ ~ s ~ o r ~ L ‘l’he Eigenhtiuictiorr Fornuilatiori 4.2 Definition of he Laplac(: ‘1i.ansforrn 4.3 Unilateral aiitl Bilntcral Lit.place Transforms 4.4 E.xamples of Lapliice ‘lYarisforms 4.5 kgicin Of CollVt?J‘g(Tlceof the! LC?l>liLCt ’&msforrn 4.6 Existence and linic~ucnessof thc Lapla.ce Tra.iisform 61 61 61 63 64 66 72