| Robustness of Finite State Automata (2007) | |||||||||||||||
Abstract | |||||||||||||||
| The classical robust control deals with systems which can be approximated by nite order linear time-invariant (LTI) models, uses integral constraints, such as induced gain bounds, to assess robustness with respect to the error of such approximation, and employs H-In nity optimization to design robust linear controllers. In this paper , a parallel approach is developed, in which nite state stochastic automata play the role of LTI models. Analogs of the KalmanYakubovich -Popov Lemma, the S-procedure losslessness theorem, and H-In nity design are derived. | |||||||||||||||
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