On the admissible perturbations for discrete systems

• Autorzy: Rachik M. , Abdelhak A.
• Języki publikacji: EN

Abstrakty

EN

We consider a discrete system described by xi+1=Axi, i>0 with the output function yi=Cxi, i>0 which is subject to the constraints (...). Then we investigate the admissible nonlinear perturbations (Ni)i, i.e., the ones such that the corresponding perturbed output function (...) remains in the constraints set omega for all i>0.

Słowa kluczowe

EN

admissible perturbations; discrete systems; discrete delayed systems; nonlinear perturbation

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2002
• Tom: Vol. 12, no. 3
• Strony: 301--313
• Opis fizyczny: Bibliogr. 12 poz., rys.

Twórcy

autor

Rachik M.

• Faculte des sciences Ben M'Sik, department de mathematiques, Casablanca, Maroc

autor

Abdelhak A.

• Faculte des sciences Ben M'Sik, department de mathematiques, Casablanca, Maroc

Bibliografia

• [1] L. Afifi and A. El Jai: Strategic sensors and spy sensors. Applied Mathematics and Computer Science, 4(4) (1994), 553-573.
• [2] A.V. Balakrishnan: Applied functional analysis. Springer Verlag, 1976.
• [3] A. Bensoussan and M. Viot: Optimal control of stochastic linear distributed parameter systems. SIAM J. Control, 13 (1975), 904-926.
• [4] J. Bouyaghroumni, A. El Jai and M. Rachik: Discrete Systems with Bilinear Disturbances. Laboratoire de Theorie des Systèmes, Université de Perpignan (France), Rapport interne NĆ 09/98, 1998.
• [5] R.F. Curtain and H.J. Zwart: An introduction to infinite-dimensional linear systems theory. Texts in Applied Mathematics, Springer Verlag, 21 (1995).
• [6] D. Francis: A course in 􀀀􀀀-control theory. Lecture Notes in Control and Information Science, 88, Springer Verlag, Berlin, 1987.
• [7] S. Kitamura and S. Nakagiri: Identifiability of spatially and constant parameters in distributed systems of parabolic type. SIAM. J.Control and Optimization, 15(5), (1977).
• [8] J.L. Lions: Sur les sentinelles des systèmes distribués, C.R.A.S. Paris, 1988.
• [9] J.L. Lions: Furtivité et sentinelles pour les systèmes distribués à données incomplètes, C.R.A.S. Paris, 1990.
• [10] M. Rachik, E. Labriji, A. Abkari and J. Bouyaghroumni: Infected discrete linear systems: On the admissible sources. Optimization, to appear.
• [11] T. Suzuki and R. Murayama: A unique theorem in an identification problem for coeficient of parabolic equations. Proc. Japan Acad. ser. A. Math. Sc., 56 (1980), 259-263.
• [12] N.M. Wonham: On the separation principle of stochastic control. SIAM J. Control, 6 (1968), 312-326.