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Stability analysis of hybrid jump linear systems with Markov inputs

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3 Author(s)
Tejada, A. ; Old Dominion Univ., Norfolk ; Gonzalez, O.R. ; Gray, W.S.

Hybrid jump linear systems (HJLS's) were introduced to study the properties of supervisory control systems. In a recent publication, a mean square (MS) stability test was introduced for HJLS's with Moore output maps and i.i.d. inputs. In this paper, a similar test is developed for HJLS's of this type but with Markov inputs. The test requires one to first construct an auxiliary HJLS with equivalent stability properties. Then, a particular matrix, A, is constructed taking into consideration the auxiliary system's structure and associated Markov kernel. Finally, the spectral radius of A is compared against 1 to determine the stability of the original HJLS.

Published in:

Decision and Control, 2007 46th IEEE Conference on

Date of Conference:

12-14 Dec. 2007