Global analysis of a continuous-time flow which computes time-optimal switchings
(2001) Proceedings of 40th Conference on Decision and Control — Location: Orlando, FL, USA (4.December.2001)
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- Abstract
- The minimum-time bounded control of linear systems is generically bang-bang and the number of switchings does not exceed the dimension of the system if the eigenvalues of the system matrix are real. This paper proposes a synthesis method for such problems based on dynamical systems that 'compute' the optimal sequence of switching times.
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Grognard, F., & Sepulchre, R. (2001). Global analysis of a continuous-time flow which computes time-optimal switchings. Proceedings of the 40th IEEE Conference on Decision and Control (Cat.No.01CH37228), Vol. 4, p. 3826-31. https://doi.org/10.1109/CDC.2001.980460