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• # Artykuł - szczegóły

## International Journal of Applied Mathematics and Computer Science

2011 | 21 | 1 | 161-172

## On generalized inverses of singular matrix pencils

EN

### Abstrakty

EN
Linear time-invariant networks are modelled by linear differential-algebraic equations with constant coefficients. These equations can be represented by a matrix pencil. Many publications on this subject are restricted to regular matrix pencils. In particular, the influence of the Weierstrass structure of a regular pencil on the poles of its inverse is well known. In this paper we investigate singular matrix pencils. The relations between the Kronecker structure of a singular matrix pencil and the multiplicity of poles at zero of the Moore-Penrose inverse and the Drazin inverse of the rational matrix are investigated. We present example networks whose circuit equations yield singular matrix pencils.

EN

161-172

wydano
2011
otrzymano
2009-11-11
poprawiono
2010-06-28
poprawiono
2010-10-02

### Twórcy

autor
• Institute of Control Theory, Faculty of Electrical and Computer Engineering, Technische Universität Dresden, D-01062 Dresden, Germany
autor
• Institute of Control Theory, Faculty of Electrical and Computer Engineering, Technische Universität Dresden, D-01062 Dresden, Germany

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