Titlebook: Surveys in Differential-Algebraic Equations I; Achim Ilchmann,Timo Reis Book 2013 Springer-Verlag Berlin Heidelberg 2013 Control.Different

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DAEs in Circuit Modelling: A Survey,tors), displaying a great potential impact in electronics in the near future, and?address how to accommodate them in differential-algebraic models. Some dynamical aspects and?other topics in circuit theory in which DAEs play a role, regarding e.g. model reduction, coupled problems or fault diagnosis, are discussed in less detail.

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,Controllability of Linear Differential-Algebraic Systems—A Survey,fferential-algebraic equations with constant coefficients. Regularity, which is, loosely speaking, a?concept related to existence and uniqueness of solutions for any inhomogeneity, is not required in this article. The concepts of impulse controllability, controllability at infinity, behavioral contr

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Robust Stability of Differential-Algebraic Equations,ying differential-algebraic equations (DAEs). Different stability concepts such as exponential and asymptotic stability are studied and their robustness is analyzed under general as well as restricted sets of real or complex perturbations. Formulas for the distances are presented whenever these are

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DAEs in Circuit Modelling: A Survey,elling has increased in the last two decades, and?differential-algebraic (or .) models play nowadays a key role in circuit simulation programs and?also in the analysis of several aspects of nonlinear circuit dynamics. We discuss not only nodal systems, including MNA, but also branch-oriented and?hyb

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Solution Concepts for Linear DAEs: A Survey,a complete solution characterization is presented including explicit solution formulas similar to the ones known for linear ordinary differential equations (ODEs). The problem of inconsistent initial values is treated and different approaches are discussed. In particular, the common Laplace-transfor

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Book 2013namical systems, especially in mechanical and electrical engineering. Due to the strong relation to (ordinary) differential equations, the literature for DAEs mainly started out from introductory textbooks..As such, the present monograph is new in the sense that it comprises survey articles on vario

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ethod, recursive summation. Chapter 2 gives a brief review of linear algebra and includes vector and matrix norms and condition numbers of matrices and linear systems. ‘ Chapter 3 presents some ideas for manipulating sparse matrices. Frequently, time or memory can be saved by use of sparse matrix te