### Details

#### Title

On controllability and observability of fractional continuous-time linear systems with regular pencils

#### Journal title

Bulletin of the Polish Academy of Sciences: Technical Sciences

#### Yearbook

#### Numer

#### Publication authors

#### Divisions of PAS

#### Publisher

#### Date

#### Identifier

ISSN 0239-7528, eISSN 2300-1917

#### References

Ahmeda (2007), On fractional order differential equations model for nonlocal epidemics, Phys A Math Gen, 379. ; Kaczorek (2016), Drazin inverse matrix method for fractional descriptor discrete - time linear systems, Bull Pol Tech, 64, 395. ; Ferreira (2003), Fractional - order hybrid control of robotic manipulators th, Proc Int Conf Advanced Robotics, 11, 1. ; Popović (2013), and Two compartmental fractional derivative model with fractional derivatives of different order Communications in Nonlinear Science and Numerical, Simulation, 18, 2507. ; Wülling (2013), The Drazin inverse of a singular unreduced tridiagonal matrix Linear Algebra, Appl, 10, 439. ; Kaczorek (2013), Singular fractional continuous - time and discretetime linear systems Mechanica et, Acta Automatica, 7, 26. ; Kaczorek (2013), Descriptor linear fractional linear systems with regular pencils, Int J Appl Math Comput Sci, 23, 309. ; Kaczorek (2014), Fractional descriptor observers for fractional descriptor continuous - time linear system Archives of Control, Sciences, 24, 27. ; Campbell (1976), and Applications of the Drazin inverse to linear systems of differential equations with singular constant coefficients SIAM, J Appl Math, 31, 411. ; Kaczorek (2016), Reduced - order fractional descriptor observers for a class of fractional descriptor continuous - time nonlinear systems, Int J Appl Math Comput Sci, 26, 277. ; Kaczorek (2014), Drazin inverse matrix method for fractional descriptor continuous - time linear systems, Bull Pol Tech, 62, 409. ; Kaczorek (2011), Singular fractional discrete - time linear systems Control and, Cybernetics, 40, 1. ; Wei (2012), The controllability of fractional control system with control delay Computer and Mathematics with, Appl, 12, 3153. ; Kaczorek (2015), Pointwise completeness and pointwise degeneracy of positive fractional descriptor continuous - time linear systems with regular pencils, Int J Appl Math Comput Sci, 25, 217. ; Dzieliński (2009), and Ultracapacitor parameters identification based on fractional order model Control Conf, Proc Eur, 196. ; Kaczorek (2014), Positivity and asymptotic stability of descriptor linear systems with regular pencils Archives of Control, Sciences, 24, 193.

#### DOI

10.1515/bpasts-2017-0033