Robust exponential stability criteria of LPD systems with mixed time-varying delays and nonlinear perturbations
This paper investigates the problem of robust exponential stability for linear parameter-dependent (LPD) systems with discrete and distributed time-varying delays and nonlinear perturbations. Parameter dependent Lyapunov-Krasovskii functional, Leibniz-Newton formula, and linear matrix inequality are...
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| Main Authors: | , , |
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| Format: | Article |
| Published: |
Hindawi Publishing Corporation
2015
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| Subjects: | |
| Online Access: | http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84872814039&origin=inward http://cmuir.cmu.ac.th/handle/6653943832/38678 |
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| Institution: | Chiang Mai University |
| Summary: | This paper investigates the problem of robust exponential stability for linear parameter-dependent (LPD) systems with discrete and distributed time-varying delays and nonlinear perturbations. Parameter dependent Lyapunov-Krasovskii functional, Leibniz-Newton formula, and linear matrix inequality are proposed to analyze the stability. On the basis of the estimation and by utilizing free-weighting matrices, new delay-dependent exponential stability criteria are established in terms of linear matrix inequalities (LMIs). Numerical examples are given to demonstrate the effectiveness and less conservativeness of the proposed methods. © 2012 Kanit Mukdasai et al. |
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