NULL-CONTROLABILITY CRITERIA FOR NONLINEAR CONTROL SYSTEM
DOI:
https://doi.org/10.4314/njt.71.375Keywords:
stabilityAbstract
This paper is concerned with the establishment of null controllability in Euclidean pace, of a nonlinear control system. Sufficient conditions for a nonlinear system to be steered to a zero target are developed by means of Brouwer's Fixed Point Theorem.
This method involves the prescription of an appropriate transformation on the solution of the system, which in the first place is assumed to exist.
An appropriate mapping of a suitable subset of the Euclidean space into itself is given. Subsequently, this mapping is proved to be continuous. Thus on the application of Brouwer's Fixed Point Theorem it is proved that the nonlinear control system
x(t) = A(t)x(t) + f(t ,x(t), u(t), x(o) = Xo
is Euclidean null controllable.
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