Stability analysis of uncertain systems based on interval analysis

Shao, Junwei; Hou, Xiaorong

doi:10.1109/iciss.2010.5656107

Cited by 4 publications

(2 citation statements)

References 11 publications

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“…On the other hand, all the elements in the interval matrices of (30) can independently vary with different direction and magnitude. That is, the interval matrices in (30) do not satisfy the assumption that all the elements in the interval matrices must have the same variations. So, the result of Chen and Chou [19,20,31] cannot be used in this example.…”

Section: Illustrative Examplesmentioning

confidence: 99%

“…Recently, the robustness issues of interval multiple-inputmultiple-output (MIMO) systems without state delay have been studied by many researchers (see, e.g., [16,17,[21][22][23][24][25][26][27][28][29][30][31] and references therein). But, till now, only a few researchers studied the controllability issue of the interval MIMO systems without state delay [16,[19][20][21][22][23][24][25]31].…”

Section: Introductionmentioning

confidence: 99%

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Controllability Robustness of Linear Interval Systems with/without State Delay and with Unstructured Parametric Uncertainties

Chen

Chou

2013

Abstract and Applied Analysis

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The robust controllability problem for the linear interval systems with/without state delay and with unstructured parametric uncertainties is studied in this paper. The rank preservation problem is converted to the nonsingularity analysis problem of the minors of the matrix under discussion. Based on some essential properties of matrix measures, two new sufficient algebraically elegant criteria for the robust controllability of linear interval systems with/without state delay and with unstructured parametric uncertainties are established. Two numerical examples are given to illustrate the applications of the proposed sufficient algebraic criteria, where one example is also presented to show that the proposed sufficient condition for the linear interval systems having no state delay and no unstructured parametric uncertainties can obtain less conservative results than the existing ones reported recently in the literature.

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