Differential-Algebraic Systems: Analytical Aspects and Circuit Applications - Hardcover

Riaza, Ricardo

Hardcover

ISBN 10: 9812791809 ISBN 13: 9789812791801

Publisher: World Scientific Publishing Company, 2008

Synopsis

Differential-algebraic equations (DAEs) provide an essential tool for system modeling and analysis within different fields of applied sciences and engineering. This book addresses modeling issues and analytical properties of DAEs, together with some applications in electrical circuit theory.Beginning with elementary aspects, the author succeeds in providing a self-contained and comprehensive presentation of several advanced topics in DAE theory, such as the full characterization of linear time-varying equations via projector methods or the geometric reduction of nonlinear systems. Recent results on singularities are extensively discussed. The book also addresses in detail differential-algebraic models of electrical and electronic circuits, including index characterizations and qualitative aspects of circuit dynamics. In particular, the reader will find a thorough discussion of the state/semistate dichotomy in circuit modeling. The state formulation problem, which has attracted much attention in the engineering literature, is cleverly tackled here as a reduction problem on semistate models.

About this title

Review:

The book is a valuable reference source for researchers who are interested in DAEs and their applications. --Mathematical Reviews

The book is carefully written and equipped with many examples. It is a valuable source for a first contact with DAEs, but also for researchers and engineers interested in DAEs, especially in electric and electronic circuits. --Zentralblatt MATH

About this edition

• Publisher: World Scientific Publishing Company
• Publication date: 2008
• ISBN 10: 9812791809
• ISBN 13: 9789812791801
• Binding: Hardcover
• Number of pages: 344