Geometric local controllability: second-order conditions∗
نویسندگان
چکیده
In a geometric point of view, a nonlinear control system, affine in the controls, is thought of as an affine subbundle of the tangent bundle of the state space. In deriving conditions for local controllability from this point of view, one should describe those properties of the affine subbundle that either ensure or prohibit local controllability. In this paper, second-order conditions of this nature are provided. The techniques involve a fusion of well-established analytical methods with differential geometric ideas.
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*Institute of Control Engineering, Silesian University of Technology, street Akademicka 16, 44-100 Gliwice, Poland, (e-mail: [email protected]) _____________________________________________________________________________________ Abstract: In the paper finite-dimensional dynamical control systems described by second order semilinear stationary ordinary differential state equations are consi...
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