Robust stability of discrete time systems with jumps

E. K. Boukas; H. Yang

doi:10.1109/ccece.1994.405877

Robust stability of discrete time systems with jumps

E. K. Boukas^*, H. Yang

^*Corresponding author for this work

Ecole Polytechnique de Montreal

Research output: Contribution to journal › Conference article › peer-review

Abstract

This paper deals with the robustness of the class of discrete time linear systems with Markovian jumping parameters and unknown but bounded uncertainties. Under the assumption that the Markovian jump process (disturbance) is irreducible and the complete access to the system's state and its mode, we establish the necessary and sufficient conditions of stochastic stability for the autonomous nominal model. We also establish the sufficient condition for the robust stability result for this class of uncertain systems under matching conditions and the robust stability result under bounded uncertainties.

Original language	English
Pages (from-to)	821-824
Number of pages	4
Journal	Canadian Conference on Electrical and Computer Engineering
Volume	2
DOIs	https://doi.org/10.1109/ccece.1994.405877
Publication status	Published - 1994
Externally published	Yes
Event	Proceedings of the 1994 Canadian Conference on Electrical and Computer Engineering. Part 2 (of 2) - Halifax, Can Duration: 25 Sept 1994 → 28 Sept 1994

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10.1109/ccece.1994.405877

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title = "Robust stability of discrete time systems with jumps",

abstract = "This paper deals with the robustness of the class of discrete time linear systems with Markovian jumping parameters and unknown but bounded uncertainties. Under the assumption that the Markovian jump process (disturbance) is irreducible and the complete access to the system's state and its mode, we establish the necessary and sufficient conditions of stochastic stability for the autonomous nominal model. We also establish the sufficient condition for the robust stability result for this class of uncertain systems under matching conditions and the robust stability result under bounded uncertainties.",

author = "Boukas, {E. K.} and H. Yang",

year = "1994",

doi = "10.1109/ccece.1994.405877",

language = "English",

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pages = "821--824",

journal = "Canadian Conference on Electrical and Computer Engineering",

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note = "Proceedings of the 1994 Canadian Conference on Electrical and Computer Engineering. Part 2 (of 2) ; Conference date: 25-09-1994 Through 28-09-1994",

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AU - Boukas, E. K.

AU - Yang, H.

PY - 1994

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N2 - This paper deals with the robustness of the class of discrete time linear systems with Markovian jumping parameters and unknown but bounded uncertainties. Under the assumption that the Markovian jump process (disturbance) is irreducible and the complete access to the system's state and its mode, we establish the necessary and sufficient conditions of stochastic stability for the autonomous nominal model. We also establish the sufficient condition for the robust stability result for this class of uncertain systems under matching conditions and the robust stability result under bounded uncertainties.

AB - This paper deals with the robustness of the class of discrete time linear systems with Markovian jumping parameters and unknown but bounded uncertainties. Under the assumption that the Markovian jump process (disturbance) is irreducible and the complete access to the system's state and its mode, we establish the necessary and sufficient conditions of stochastic stability for the autonomous nominal model. We also establish the sufficient condition for the robust stability result for this class of uncertain systems under matching conditions and the robust stability result under bounded uncertainties.

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U2 - 10.1109/ccece.1994.405877

DO - 10.1109/ccece.1994.405877

M3 - Conference article

AN - SCOPUS:0028728428

SN - 0840-7789

VL - 2

SP - 821

EP - 824

JO - Canadian Conference on Electrical and Computer Engineering

JF - Canadian Conference on Electrical and Computer Engineering

T2 - Proceedings of the 1994 Canadian Conference on Electrical and Computer Engineering. Part 2 (of 2)

Y2 - 25 September 1994 through 28 September 1994

ER -

Robust stability of discrete time systems with jumps

Abstract

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