Geodesic
Constrained Controllability of Dynamic Systems
International Journal of Applied Mathematics and Computer Science, Tome 9 (1999) no. 2, pp. 231-244.

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The present paper is devoted to a study of constrained controllability and controllability for linear dynamic systems if the controls are taken to be non-negative. By analogy to the usual definition of controllability it is possible to introduce the concept of positive controllability. Weshall concentrate on approximate positive controllability for linear infinite-dimensional dynamic systems when the values of controls are taken from a positive closed convex cone and the operator of the system is normal and has pure discrete point spectrum. Special attention is paid to positive infinite-dimensional linear dynamic systems. General approximate constrained controllability results are then applied to distributed-parameter dynamic systems described by linear partial-differential equations of parabolic type with various kinds of boundary conditions. Several remarks and comments on the relationships between different concepts of controllability are given. Finally, a simple illustrative example is also presented.
Keywords: constrained controllability, infinite-dimensional systems, distributed-parameter systems, positive dynamic systems
Mots-clés : sterowność wymuszona, system nieskończenie wymiarowy, system z rozproszonymi parametrami, system dynamiczny dodatni 
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     author = {Klamka, J.},
     title = {Constrained {Controllability} of {Dynamic} {Systems}},
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Klamka, J. Constrained Controllability of Dynamic Systems. International Journal of Applied Mathematics and Computer Science, Tome 9 (1999) no. 2, pp. 231-244. http://geodesic.mathdoc.fr/item/IJAMCS_1999_9_2_a0/