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Technical Stability of an Automatic Control System with a Changing Structure in the Neutral Case

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Abstract

We obtain conditions for the technical stability, with respect to a given measure, of autonomous dynamical systems with a discontinuous control for all possible initial conditions ranging over a given region of admissible initial perturbations of the processes under consideration. The formulated criteria depend on properties of roots of the secular equation of a given quadratic form corresponding to the control system under investigation.

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Matviichuk, K.S. Technical Stability of an Automatic Control System with a Changing Structure in the Neutral Case. Journal of Mathematical Sciences 107, 3776–3786 (2001). https://doi.org/10.1023/A:1012362418267

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  • DOI: https://doi.org/10.1023/A:1012362418267

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