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On design of time optimal systems via the second method of Lyapunov

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1 Author(s)
Nahi, N.E. ; University of Southern California, Los Angeles, CA

Two theorems with applications are presented in this paper. It is shown that a particular application of the second method of Lyapunov yields the time optimal solution to the feedback design problem for a class of systems satisfying conditions of Theorem 1. Theorem 2 can be used to design a class of feedback systems satisfying any given settling time in terms of initial perturbations of the plant.

Published in:

Automatic Control, IEEE Transactions on  (Volume:9 ,  Issue: 3 )