On Stability Delay Bounds of Simple Input-delayed Linear and Non-linear Systems: Computational Results

doi:10.1007/s11633-013-0728-7

On Stability Delay Bounds of Simple Input-delayed Linear and Non-linear Systems: Computational Results

doi: 10.1007/s11633-013-0728-7

1.
Istanbul Technical University, Faculty of Aeronautics and Astronautics, 34469, Maslak, Sariyer, Istanbul, Turkey

On Stability Delay Bounds of Simple Input-delayed Linear and Non-linear Systems: Computational Results

摘要: This paper deals with the problem of delay size stability analysis of single input-delayed linear and nonlinear systems. Conventional reduction, reduction linked by sliding mode, and linear memoryless control approaches are used for simple input-delayed systems to obtain the stability conditions. Several first order examples are investigated systematically to demonstrate the capabilities and limitations of the advanced stability analysis techniques including Lyapunov-Krasovskii functionals, Newton-Leibniz formula, and a newly addressed Lagrange mean value theorem. Numerical comparative results show the usefulness and effectiveness of the advanced delay size analysis techniques proposed in this paper.
- Input-delayed systems /
- reduction method /
- Lagrange mean value theorem /
- sliding mode control /
- Lyapunov-Krasovskii functional
Abstract: This paper deals with the problem of delay size stability analysis of single input-delayed linear and nonlinear systems. Conventional reduction, reduction linked by sliding mode, and linear memoryless control approaches are used for simple input-delayed systems to obtain the stability conditions. Several first order examples are investigated systematically to demonstrate the capabilities and limitations of the advanced stability analysis techniques including Lyapunov-Krasovskii functionals, Newton-Leibniz formula, and a newly addressed Lagrange mean value theorem. Numerical comparative results show the usefulness and effectiveness of the advanced delay size analysis techniques proposed in this paper.
- Input-delayed systems /
- reduction method /
- Lagrange mean value theorem /
- sliding mode control /
- Lyapunov-Krasovskii functional
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On Stability Delay Bounds of Simple Input-delayed Linear and Non-linear Systems: Computational Results

1. Istanbul Technical University, Faculty of Aeronautics and Astronautics, 34469, Maslak, Sariyer, Istanbul, Turkey

收稿日期: 2013-01-11

修回日期: 2013-07-01

刊出日期: 2013-08-20

关键词:

摘要: This paper deals with the problem of delay size stability analysis of single input-delayed linear and nonlinear systems. Conventional reduction, reduction linked by sliding mode, and linear memoryless control approaches are used for simple input-delayed systems to obtain the stability conditions. Several first order examples are investigated systematically to demonstrate the capabilities and limitations of the advanced stability analysis techniques including Lyapunov-Krasovskii functionals, Newton-Leibniz formula, and a newly addressed Lagrange mean value theorem. Numerical comparative results show the usefulness and effectiveness of the advanced delay size analysis techniques proposed in this paper.

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On Stability Delay Bounds of Simple Input-delayed Linear and Non-linear Systems: Computational Results

doi: 10.1007/s11633-013-0728-7

On Stability Delay Bounds of Simple Input-delayed Linear and Non-linear Systems: Computational Results

计量

On Stability Delay Bounds of Simple Input-delayed Linear and Non-linear Systems: Computational Results

doi: 10.1007/s11633-013-0728-7

1. Istanbul Technical University, Faculty of Aeronautics and Astronautics, 34469, Maslak, Sariyer, Istanbul, Turkey

English Abstract

On Stability Delay Bounds of Simple Input-delayed Linear and Non-linear Systems: Computational Results

1. Istanbul Technical University, Faculty of Aeronautics and Astronautics, 34469, Maslak, Sariyer, Istanbul, Turkey

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目录

On Stability Delay Bounds of Simple Input-delayed Linear and Non-linear Systems: Computational Results

doi: 10.1007/s11633-013-0728-7

On Stability Delay Bounds of Simple Input-delayed Linear and Non-linear Systems: Computational Results

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出版历程

On Stability Delay Bounds of Simple Input-delayed Linear and Non-linear Systems: Computational Results

doi: 10.1007/s11633-013-0728-7

1. Istanbul Technical University, Faculty of Aeronautics and Astronautics, 34469, Maslak, Sariyer, Istanbul, Turkey

English Abstract

On Stability Delay Bounds of Simple Input-delayed Linear and Non-linear Systems: Computational Results

1. Istanbul Technical University, Faculty of Aeronautics and Astronautics, 34469, Maslak, Sariyer, Istanbul, Turkey

全文HTML

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