BULLETIN of the

POLISH ACADEMY of SCIENCES

TECHNICAL SCIENCES

BULLETIN of the POLISH ACADEMY of SCIENCES: TECHNICAL SCIENCES
Volume 58, Issue 4, December 2010

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Observability of linear q-difference fractional-order systems with finite initial memory

D. MOZYRSKA and E. PAWLUSZEWICZ
In this paper we define a class of linear q-difference fractional-order systems with finite memory. For such systems we state definitions of indistinguishability and observability by using the concept of extended initial conditions. We prove the formula for the solution and the rank condition for observability.
Key words:

linear q-difference fractional-order systems, l-memory initial value problem, l-event, observability in s-steps


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