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The purpose of this paper is to present explicitly the solution curve for commutative affine control systems on Lie groups under the assumption that the automorphisms associated with the linear… Click to show full abstract
The purpose of this paper is to present explicitly the solution curve for commutative affine control systems on Lie groups under the assumption that the automorphisms associated with the linear vector fields commutes. If we assume that the derivations associated with the linear vector fields of the system are inner, we obtain a simpler solution and we show some results of controllability. To finish, we work with conjugation by homomorphism of Lie groups between affine systems.
Keywords:
affine control;
systems lie;
solution;
lie groups;
control systems
Journal Title: Journal of Dynamical and Control Systems
Year Published: 2022
Link to full text (if available)
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Journal Title: Journal of Dynamical and Control Systems
Year Published: 2022
Link to full text (if available)
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recommendations!