### Details

#### Title

Relationship between the observability of standard and fractional linear systems

#### Journal title

#### Yearbook

#### Numer

#### Publication authors

#### Divisions of PAS

#### Abstract

#### Publisher

Committee of Automatic Control and Robotics PAS

#### Date

#### Identifier

ISSN 1230-2384

#### References

ANTSAKLIS (2006), Linear Systems, null, 1. ; KACZOREK (2011), Controllability and observability of linear electrical circuits a, Electrical Review, 87. ; KACZOREK (2008), Reachability and controllability to zero tests for standard and positive fractional discrete - time systems des Systemes, Journal, 42, 769. ; PODLUBNY (1999), Fractional Academic San, Differential Equations, 20. ; KACZOREK (2013), Constructability and observability of standard and positive electrical circuits, Electrical Review, 89. ; KALMAN (1960), On the general theory of control systems Prof First Congress on Automatic Control, Int, 15, 481. ; OLDHAM (1974), SPANIER The Fractional Calculus Differentiaions of Arbitrary Order Academic New, null, 18. ; GANTMACHER (1959), The Theory of Matrices Pub, Chelsea. ; ROSENBROCK (1970), State space Multivariable Theory New York, null, 21. ; SAJEWSKI (2016), observability and minimum energy control of fractional positive continuous - time linear systems with two different fractional orders Multidimensional Systems and Signal Processing, null, 23, 27. ; KACZOREK (1998), Vectors Matrices in Automation in Polish, null, 12. ; OSTALCZYK (2008), Epitome of the Fractional Calculus Theory and its Applications in Automatics Technical University of Lodz in Polish, null, 19. ; KACZOREK (2011), Selected Problems of Fractional Systems Theory Verlag, null, 11. ; KACZOREK (2002), Positive Systems Verlag, null. ; KALMAN (1963), Mathematical description of linear systems, SIAM J Control, 14, 1. ; KLAMKA (2017), Relationship between controllability of standard and fractional linear systems Submitted to, null, 17. ; WOLOVICH (1974), Linear Multivariable Systems Verlag New York, null, 24. ; Oxford (2003), and University New, Systems Control, 25. ; FARINA (2000), Positive Linear Systems Theory Applications New York, null. ; KLAMKA (1991), Controllability of Academic Dordrecht, Dynamical Systems, 16. ; KAILATH (1980), Linear Systems Cliffs New, null, 13. ; (2014), SAJEWSKI Reachability of fractional positive continuous - time linear systems with two different fractional orders In Recent Advances in Automation Robotics and Measuring Techniques Series in Advances in Intelligent Systems and, Computing, 22, 267. ; KACZOREK (1999), Linear Control Systems New York, null, 1.

#### DOI

10.1515/acsc-2017-0027