Journal ArticleDOI
Nonlinear Controllability via Lie Theory
G. W. Haynes,Henry Hermes +1 more
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In this paper, the authors discuss trajectories uniform approximation and nonlinear controllability conditions based on linear partial differential equation (LPDE) for complete system associated with given control.Abstract:
Complete system associated with given control, discussing trajectories uniform approximation and nonlinear controllability conditions based on linear partial differential equationread more
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Journal ArticleDOI
Necessary and Sufficient Condition for Global Controllability of a Class of Affine Nonlinear Systems
Yimin Sun,Shengwei Mei,Qiang Lu +2 more
TL;DR: A necessary and sufficient condition for its global controllability has been obtained by using the methods recently developed and the result is generalized to a class of affine nonlinear systems with a block-triangular-like structure.
Proceedings ArticleDOI
A Novel Airplane Roll Mechanism: Nonlinear Motion Planning Approach
Ahmed M. Hassan,Haitham E. Taha +1 more
Journal ArticleDOI
A note on Poisson stability and controllability
TL;DR: The connection between Poisson stability and controllability is revisited in this paper, where it is shown that two natural assumptions about the set of input values are necessary for strictness.
Journal ArticleDOI
The Time Optimal Control Problem for a class of Nonholonomic Systems: A Case Study
Z. Retchkiman,Farshad Khorrami +1 more
TL;DR: In this paper, the minimum time control problem for a class of nonholonomic controllable nonlinear systems is considered, and a case study is presented where the proposed solution is compared with other methodologies which solve the point to point motion planning problem, showing that indeed is the best, one can obtain.