Title :
On Fractional Systems H∞ , -Norm Computation
Author :
Sabatier, J. ; Moze, M. ; Oustaloup, A.
Author_Institution :
Laboratoire d´Automatique, Productique, et Signal, LAPS, 351 cours de la Liberation, F33405 TALENCE cedex, France (+33(0)540 006 607, e-mail: jocelyn.sabatier@laps.u-bordeauxl. fr).
Abstract :
Two methods are proposed in this paper for fractional system H∞-norm computation. These methods are extensions to fractional systems of well-known methods for integer systems. The first is based on singular value properties of a linear system and is applied on an academic example. In the second, two extensions of the real bounded lemma derived directly from Lyapunov´s theory are deduced. The first method is applied on an academic example.
Keywords :
Asymptotic stability; Differential equations; Eigenvalues and eigenfunctions; Hydrogen; Laplace equations; Linear matrix inequalities; MIMO; Stability analysis; State-space methods; Transfer functions;
Conference_Titel :
Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on
Conference_Location :
Seville, Spain
Print_ISBN :
0-7803-9567-0
DOI :
10.1109/CDC.2005.1583081
