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DIFFERENTIAL-ALGEBRAIC SYSTEMS
Analytical Aspects and Circuit Applications
by Ricardo Riaza (Universidad Politécnica de Madrid, Spain)
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.
Contents:
- Introduction to Differential-Algebraic Equations
- Linear DAEs and
Projector-Based Methods
- Nonlinear DAEs and Reduction Methods
- Singularities
- Semistate Models of Electrical Circuits
- Nodal Analysis
- Branch-Oriented Methods
Readership: Readers with general background in differential calculus, linear
algebra and ordinary differential equations; experts and graduate students in applied mathematics, dynamical systems and mathematical analysis; researchers from other fields interested in getting an introduction to DAEs; electrical and electronic engineers.
| 320pp (approx.) |
Pub. date: Scheduled Summer 2008 |
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