Journal of the Korean Institute of Telematics and Electronics (대한전자공학회논문지)
- Volume 25 Issue 12
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- Pages.1625-1632
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- 1988
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- 1016-135X(pISSN)
An Application of Linear Singular System Theory To Electric Circuits
선형 Singular 시스템 이론의 전기 회로에의 적용
Abstract
This paper aims not only to introduce the concept of linear singular systems, geometric structure, and feedback but also to provide applications of the multivariable linear singular system theories to electric circuits which may appear in some electronic equipments. The impulsive or discontinuous behavior which is not desirable can be removed by the set of admissible initial conditions. The output-nulling supremal (A,E,B) invariant subspace and the singular system structure algorithm are applied to this double-input double-output electric circuit. The Weierstrass form of the pencil (s E-A) is related to the output-nulling supremal (A,E,B) invariant subspace from which the time domain solutions of the finite and the infinite subsystems are found. The generalized Lyapunov equation for this application with feedback is studied and finally, the use of orthogonal functions in singular systems is discussed.
Keywords