New Delay-Range-Dependent Robust Exponential Stability Criteria of Uncertain Impulsive Switched Linear Systems with Mixed Interval Nondifferentiable Time-Varying Delays and Nonlinear Perturbations
Joint Authors
Yotha, Narongsak
Niamsup, Piyapong
Mukdasai, Kanit
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-10-05
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We investigate the problem of robust exponential stability analysis foruncertain impulsive switched linear systems with time-varying delays and nonlinear perturbations.
The time delays are continuous functions belonging to the given interval delays,which mean that the lower and upper bounds for the time-varying delays are available, butthe delay functions are not necessary to be differentiable.
The uncertainties under considerationare nonlinear time-varying parameter uncertainties and norm-bounded uncertainties,respectively.
Based on the combination of mixed model transformation, Halanay inequality,utilization of zero equations, decomposition technique of coefficient matrices, and a commonLyapunov functional, new delay-range-dependent robust exponential stability criteria are establishedfor the systems in terms of linear matrix inequalities (LMIs).
A numerical exampleis presented to illustrate the effectiveness of the proposed method.
American Psychological Association (APA)
Niamsup, Piyapong& Yotha, Narongsak& Mukdasai, Kanit. 2015. New Delay-Range-Dependent Robust Exponential Stability Criteria of Uncertain Impulsive Switched Linear Systems with Mixed Interval Nondifferentiable Time-Varying Delays and Nonlinear Perturbations. Discrete Dynamics in Nature and Society،Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1060495
Modern Language Association (MLA)
Niamsup, Piyapong…[et al.]. New Delay-Range-Dependent Robust Exponential Stability Criteria of Uncertain Impulsive Switched Linear Systems with Mixed Interval Nondifferentiable Time-Varying Delays and Nonlinear Perturbations. Discrete Dynamics in Nature and Society No. 2015 (2015), pp.1-10.
https://search.emarefa.net/detail/BIM-1060495
American Medical Association (AMA)
Niamsup, Piyapong& Yotha, Narongsak& Mukdasai, Kanit. New Delay-Range-Dependent Robust Exponential Stability Criteria of Uncertain Impulsive Switched Linear Systems with Mixed Interval Nondifferentiable Time-Varying Delays and Nonlinear Perturbations. Discrete Dynamics in Nature and Society. 2015. Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1060495
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1060495
