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On the regularity for descriptor linear system with fractional order

Dengguo Xu, Jing Chen

Abstract



It is well known that regularity is a very important property for descriptor linear systems. It guarantees existence and uniqueness of solutions to descriptor linear systems. This paper studies regularity problems of descriptor linear systems with fractional order. We extend the regularity notion of standard descriptor linear systems to fractional order descriptor linear systems. Regularity definition of fractional order descriptor systems is introduced. Some sufficient and necessary conditions for regularity of the systems are obtained.

Keywords


descriptor linear systems, fractional order systems, regularity.

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