Improved results on delay-range-dependent robust stability criteria of uncertain neutral systems with mixed interval time-varying delays
In this paper, we consider the delay-range- dependent robust stability problem for uncertain neutral sys- tems with mixed interval time-varying delays. The uncertainties under consideration are nonlinear time-varying parameter perturbations and norm-bounded uncertainties, respectively. The restricti...
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| Main Authors: | , , |
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| Format: | Journal |
| Published: |
2018
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| Subjects: | |
| Online Access: | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85019875847&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/57517 |
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| Institution: | Chiang Mai University |
| Summary: | In this paper, we consider the delay-range- dependent robust stability problem for uncertain neutral sys- tems with mixed interval time-varying delays. The uncertainties under consideration are nonlinear time-varying parameter perturbations and norm-bounded uncertainties, respectively. The restriction on the derivative of the discrete interval time- varying delay is removed, which means that a fast interval time- varying delay is allowed. By constructing a suitable augmented Lyapunov-Krasovskii functional, mixed model transformation, new improved integral inequalities, Leibniz-Newton formula and utilization of zero equation, new delay-range-dependent robust stability criteria are derived in terms of linear matrix inequalities (LMIs) for the systems. Moreover, we present new delay-range-dependent stability criteria for linear system with non-differentiable interval time-varying delay and nonlinear perturbations. Numerical examples are given to show the effectiveness and less conservativeness of the proposed methods. |
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