Electronic Resource
Springer
Journal of optimization theory and applications
67 (1990), S. 463-485
ISSN:
1573-2878
Keywords:
Perturbed linear control processes
;
Nielsen fixed-point theory
;
local controllability
;
Leray-Schauder condition
;
retractability
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract We use the topological tool of Nielsen fixed-point theory to study the controllability of perturbed linear control processes whose control space can be reduced to a finite-dimensional one. These methods produce a lower bound on the number of controls that achieve a given target. We concentrate particularly on the case where the perturbation has sublinear growth, and we exhibit examples of multiple controls of various types that are detected by the Nielsen theory method.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00939645
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