Global stability of a continuous-time flow which computes time-optimal
switchings
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AUTHORS: F. Grognard, R. Sepulchre.
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ABSTRACT:
The minimum time bounded control of linear systems is generically bang-bang
and that the number of switchings does not exceed the dimension of the
system if the eigenvalues of the system matrix are real. We propose and
analyze the convergence of a synthesis method for such problems based on
dynamical systems that 'compute' the optimal sequence of switching times.
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STATUS: Proceedings of the 40th IEEE Conference on Decision and Control,
Orlando (December 2001), pp. 3826-3831.
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DATE OF ENTRY: January 2002.