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- W2361189551 abstract "The paper studies on the observability of fractional dynamical systems with distributed delays cDαx(t)=Ax(t)+integral from n=-h to 0(dxB(t,x)u(t+x)),t∈J:=J/{t1,t2,…tk},J:=[0,T],y(t)=Cx(t)+Du(t),x(0)=x0 where cDα is the Caputo fractional derivative.By using the observability Gram matrix which is defined by Mittag Leffler matrix function and Cayley-Hamilton theorem,some sufficient conditions of observability are obtained:1) The system is observable on [0,tf]if and only if the observability Gammian matrix W0[0,tf]=integral from n=0 to tf(Eα(AT tα)CTCEα(A tα)dt) is non-singular,for some tf0;2) The system is observable on [0,tf] if and only if rankQ0=rank{C CA … CA(n-1)}=n." @default.
- W2361189551 created "2016-06-24" @default.
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- W2361189551 date "2012-01-01" @default.
- W2361189551 modified "2023-10-16" @default.
- W2361189551 title "Observability of Fractional Dynamical Systems with Distributed Delays" @default.
- W2361189551 hasPublicationYear "2012" @default.
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