Controllability of nonlinear systems to affine manifolds |
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| Authors: | K Balachandran J P Dauer |
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| Institution: | (1) Department of Mathematics, Madras University PG Center, Salem, Tamil Nadu, India;(2) Department of Mathematics and Statistics, University of Nebraska, Lincoln, Nebraska;(3) Present address: Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, Tennessee |
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| Abstract: | Controllability to an affine manifold involves controlling a system to a target defined by the generalized boundary condition  x=r, where :C
n
 R
n
is a bounded linear operator on the continuous functions, as defined for ordinary differential equations by Kartsatos. In this paper, sufficient conditions are obtained for such controllability for linear systems and for a class of nonlinear perturbations of linear systems. |
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| Keywords: | Controllability affine manifolds Leray-Schauder fixedpoint theorem generalized boundary conditions |
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