Analoge Systeme. Grundlagen. (Q1316614)

This book (in German) contains basis elements of the theory on signals and systems. The book, which is a third revised edition, serves as a textbook for (electrical) engineering students. The book is organized as follows. In the first part a mathematical description of time-signals is given, both in continuous-time and discrete-time. Standard representations as Fourier-transforms, Laplace-transforms and \(z\)-transforms are given. In the next part general (nonlinear) systems are defined, first static systems and afterwards dynamic systems having the form \(\dot x= f(x,u)\), \(y= h(x,u)\), where \(u\), \(x\) and \(y\) are respectively the input, state and output respectively. A similar description is given for systems in discrete time. The last two chapters specifically deal with the class of linear systems, in continuous-time and discrete-time respectively. Standard concepts and tools for the analysis of a system of the form \(\dot x= Ax+ Bu\), \(y= Cx+Du\) are given. This includes the computation of the transfer-matrix, frequency-domain concepts and the characterization of stability of the system via the Hurwitz-criterion and Michailow- criterion. Each part of the book contains a list of well-chosen exercises of which the solutions are given in a final chapter.