Pointwise Completeness and Pointwise Degeneracy of Linear Continuous-Time Systems with Different Fractional Orders

Trzasko, W.

doi:10.1007/978-3-319-05353-0_30

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2020

Publication Types

Select...

Other1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

(1 citation statement)

References 6 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…These properties were studied in many works (Kaczorek, 2011;Korobov, 2017;Metel'skii and Karpuk, 2009). The pointwise completeness and pointwise degeneracy of fractional linear continuous-time systems were investigated by Kaczorek (2015) or Kaczorek and Busłowicz (2009), and for systems with different fractional orders by Trzasko (2014).…”

Section: Introductionmentioning

confidence: 99%

Pointwise completeness and pointwise degeneracy of fractional standard and descriptor linear continuous-time systems with different fractional orders

Kaczorek

Sajewski

2020

View full text Add to dashboard Cite

Descriptor and standard linear continuous-time systems with different fractional orders are investigated. Descriptor systems are analyzed making use of the Drazin matrix inverse. Necessary and sufficient conditions for the pointwise completeness and pointwise degeneracy of descriptor continuous-time linear systems with different fractional orders are derived. It is shown that (i) the descriptor linear continuous-time system with different fractional orders is pointwise complete if and only if the initial and final states belong to the same subspace, (ii) the descriptor linear continuous-time system with different fractional orders is not pointwise degenerated in any nonzero direction for all nonzero initial conditions. Results are reported for the case of two different fractional orders and can be extended to any number of orders.

show abstract

Section: Introductionmentioning

confidence: 99%

Pointwise completeness and pointwise degeneracy of fractional standard and descriptor linear continuous-time systems with different fractional orders

Kaczorek

Sajewski

2020

View full text Add to dashboard Cite

show abstract

Pointwise Completeness and Pointwise Degeneracy of Linear Continuous-Time Systems with Different Fractional Orders

Cited by 1 publication

References 6 publications

Pointwise completeness and pointwise degeneracy of fractional standard and descriptor linear continuous-time systems with different fractional orders

Pointwise completeness and pointwise degeneracy of fractional standard and descriptor linear continuous-time systems with different fractional orders

Contact Info

Product

Resources

About