Abstract
The purpose of this paper is to discuss bifurcation problems for control systems viewing them as dynamical systems, i.e., as control flows. Here open loop control systems are considered as skew product flows where the shift along the control functions is part of the dynamics. Basic results from this point of view are contained in the monograph [8]. In the present paper we survey recent results on bifurcation problems-some new results are included and a number of open problems is indicated. Pertinent results from [8] are cited if necessary for an understanding.
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Colonius, F., Kliemann, W. Bifurcations of Control Systems: A View from Control Flows. In: Kang, W., Borges, C., Xiao, M. (eds) New Trends in Nonlinear Dynamics and Control and their Applications. Lecture Notes in Control and Information Science, vol 295. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45056-6_2
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DOI: https://doi.org/10.1007/978-3-540-45056-6_2
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Publisher Name: Springer, Berlin, Heidelberg
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Online ISBN: 978-3-540-45056-6
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