# Controllability of nonlinear discrete systems

International Journal of Applied Mathematics and Computer Science (2002)

- Volume: 12, Issue: 2, page 173-180
- ISSN: 1641-876X

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topKlamka, Jerzy. "Controllability of nonlinear discrete systems." International Journal of Applied Mathematics and Computer Science 12.2 (2002): 173-180. <http://eudml.org/doc/207577>.

@article{Klamka2002,

abstract = {Local constrained controllability problems for nonlinear finite-dimensional discrete 1-D and 2-D control systems with constant coefficients are formulated and discussed. Using some mapping theorems taken from nonlinear functional analysis and linear approximation methods, sufficient conditions for constrained controllability in bounded domains are derived and proved. The paper extends the controllability conditions with unconstrained controls given in the literature to cover both 1-D and 2-D nonlinear discrete systems with constrained controls.},

author = {Klamka, Jerzy},

journal = {International Journal of Applied Mathematics and Computer Science},

keywords = {discrete systems; controllability; 2-D systems; nonlinear covering operators; nonlinear systems; 2-D discrete-time systems; local controllability; constrained controls},

language = {eng},

number = {2},

pages = {173-180},

title = {Controllability of nonlinear discrete systems},

url = {http://eudml.org/doc/207577},

volume = {12},

year = {2002},

}

TY - JOUR

AU - Klamka, Jerzy

TI - Controllability of nonlinear discrete systems

JO - International Journal of Applied Mathematics and Computer Science

PY - 2002

VL - 12

IS - 2

SP - 173

EP - 180

AB - Local constrained controllability problems for nonlinear finite-dimensional discrete 1-D and 2-D control systems with constant coefficients are formulated and discussed. Using some mapping theorems taken from nonlinear functional analysis and linear approximation methods, sufficient conditions for constrained controllability in bounded domains are derived and proved. The paper extends the controllability conditions with unconstrained controls given in the literature to cover both 1-D and 2-D nonlinear discrete systems with constrained controls.

LA - eng

KW - discrete systems; controllability; 2-D systems; nonlinear covering operators; nonlinear systems; 2-D discrete-time systems; local controllability; constrained controls

UR - http://eudml.org/doc/207577

ER -

## References

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- Klamka J. (1988a): M-dimensional nonstationary linear discrete systems in Banach spaces. - Proc. 12-th IMACS World Congress, Paris, Vol. 4, pp. 31-33.
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- Klamka J. (1991a): Complete controllability of singular 2-D system. - Proc. 13-th IMACS World Congress, Dublin, pp. 1839-1840.
- Klamka J. (1991b): Controllability of Dynamical Systems. -Dordrecht: Kluwer. Zbl0732.93008
- Klamka J. (1992): Controllability of nonlinear 2-D systems. - Bull.Polish Acad. Sci. Tech. Sci., Vol. 40, No. 2, pp. 125-133. Zbl0767.93004
- Klamka J. (1993): Controllability of dynamical systems-A survey. - Arch.Contr. Sci., Vol. 2, No. 3, pp. 281-307. Zbl0818.93002
- Klamka J. (1994): Constrained controllability of discrete 2-D linear systems. - Proc. IMACS Int. Symp. Signal Processing, Robotics and Neural Networks, Lille, France, pp. 166-169.
- Klamka J. (1995): Constrained controllability of nonlinear systems. - IMA J. Math. Contr. Inf., Vol. 12, No. 2, pp. 245-252. Zbl0840.93014
- Klamka J. (1996): Controllability of 2-D nonlinear systems. - Proc.2-nd World Congress Nonlinear Analysis, Athens, Greece, pp. 196-199.
- Robinson S.M. (1986): Stability theory for systems of inequalities. Part II: Differentiable nonlinear systems. - SIAM J. Numer. Anal., Vol. 13, No. 4, pp. 1261-1275.

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