Non-Lyapunov stability robustness consideration for discrete linear descriptor systems

V. B. Bajić; D. Lj Debeljković; B. B. Bogićevic; M. B. Jovanovic

doi:10.1093/imamci/15.2.105

Non-Lyapunov stability robustness consideration for discrete linear descriptor systems

V. B. Bajić^*, D. Lj Debeljković, B. B. Bogićevic, M. B. Jovanovic

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

Boundedness properties of dynamic response are particularly significant from the viewpoint of engineering applications. This paper examines some practically important properties of boundedness and unboundedness of regular and irregular discrete linear descriptor systems. The existence of specifically bounded solutions, as well as practical instability of these systems, are investigated. A development and simple application of Lyapunov's direct method for this analysis is presented. A potential (weak) domain of practical stability, consisting of points of the phase space which generate at least one solution with specific practical stability constraints, is underestimated. Also, it has been shown that the same theoretical results can be efficiently used in determining quantitative measures of robustness for a class of perturbed discrete linear descriptor systems.

Original language	English (US)
Pages (from-to)	105-115
Number of pages	11
Journal	IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION
Volume	15
Issue number	2
DOIs	https://doi.org/10.1093/imamci/15.2.105
State	Published - Jun 1998
Externally published	Yes

ASJC Scopus subject areas

Control and Systems Engineering
Control and Optimization
Applied Mathematics

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abstract = "Boundedness properties of dynamic response are particularly significant from the viewpoint of engineering applications. This paper examines some practically important properties of boundedness and unboundedness of regular and irregular discrete linear descriptor systems. The existence of specifically bounded solutions, as well as practical instability of these systems, are investigated. A development and simple application of Lyapunov's direct method for this analysis is presented. A potential (weak) domain of practical stability, consisting of points of the phase space which generate at least one solution with specific practical stability constraints, is underestimated. Also, it has been shown that the same theoretical results can be efficiently used in determining quantitative measures of robustness for a class of perturbed discrete linear descriptor systems.",

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AU - Bajić, V. B.

AU - Debeljković, D. Lj

AU - Bogićevic, B. B.

AU - Jovanovic, M. B.

PY - 1998/6

Y1 - 1998/6

N2 - Boundedness properties of dynamic response are particularly significant from the viewpoint of engineering applications. This paper examines some practically important properties of boundedness and unboundedness of regular and irregular discrete linear descriptor systems. The existence of specifically bounded solutions, as well as practical instability of these systems, are investigated. A development and simple application of Lyapunov's direct method for this analysis is presented. A potential (weak) domain of practical stability, consisting of points of the phase space which generate at least one solution with specific practical stability constraints, is underestimated. Also, it has been shown that the same theoretical results can be efficiently used in determining quantitative measures of robustness for a class of perturbed discrete linear descriptor systems.

AB - Boundedness properties of dynamic response are particularly significant from the viewpoint of engineering applications. This paper examines some practically important properties of boundedness and unboundedness of regular and irregular discrete linear descriptor systems. The existence of specifically bounded solutions, as well as practical instability of these systems, are investigated. A development and simple application of Lyapunov's direct method for this analysis is presented. A potential (weak) domain of practical stability, consisting of points of the phase space which generate at least one solution with specific practical stability constraints, is underestimated. Also, it has been shown that the same theoretical results can be efficiently used in determining quantitative measures of robustness for a class of perturbed discrete linear descriptor systems.

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Non-Lyapunov stability robustness consideration for discrete linear descriptor systems

Abstract

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