Electronic Resource
Springer
Journal of optimization theory and applications
50 (1986), S. 69-82
ISSN:
1573-2878
Keywords:
Linear autonomous systems
;
constraints
;
controllability
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract A linear autonomous control system in ℝ n is said to be completely controllable iff there existsT〉0 such that eachx ∈ ℝ n can be steered to anyy ∈ ℝ n in timeT. This paper presents a geometric characterization of this property in the case in which there are constraints on the values which the control maps can assume. A necessary and sufficient condition to get instant controllability (i.e., complete controllability for anyT〉0) is also derived. This condition generalizes the well-known Kalman condition to the constrained case.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00938478
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