New Delay-Dependent Stability Criteria for Singular Systems with Time-Varying Delay in a Range

Alla, RamaKoteswara Rao; Lather, J. S.; Pahuja, G. L.

doi:10.1007/s13369-016-2395-9

Cited by 6 publications

(2 citation statements)

References 21 publications

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“…Singular systems are encountered in engineering systems (such as aerospace engineering, electrical circuit network and power systems), biological systems, network analysis. Due to this wide application areas, numerous books and articles have been published on linear and nonlinear singular systems, and numerous results related to the characteristic properties of these systems such as stability, instability, regular, impulse free and admissibility have been obtained (see, for example, [1][2][3][4][5][13][14][15][16][17][18]] and references therein).…”

Section: Introductionmentioning

confidence: 99%

On the Admissibility of Nonlinear Singular Systems With Time-Varying Delays Abdullah Yigit and Cemil Tunc

2022

Electronic Journal of Mathematical Analysis and Applications

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In this paper, using Jensen and Wirtinger inequalities and Lyapunov-Krasovskiȋ functionals (LKFs), we discuss the asymptotic admissibility, i.e., the concepts of asymptotic stability, regular and impulse-free, to a class of nonlinear singular systems of first order with two time-varying delays. Moreover, we give four examples with numerical simulations via MATLAB-Simulink to show applications of the obtained results. By this work, we extend some related results in the related literature.

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Section: Introductionmentioning

confidence: 99%

On the Admissibility of Nonlinear Singular Systems With Time-Varying Delays Abdullah Yigit and Cemil Tunc

2022

Electronic Journal of Mathematical Analysis and Applications

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“…Time delay is common in the process of information transmission [5], [6]. Time delay is a major factor leading to system instability [7]- [9]. To mention a few, time delay is still a very hot research topic now [10]- [12].…”

Section: Introductionmentioning

confidence: 99%

Robust Finite-Time H_∞ Filtering for Uncertain Switched Systems With State Constraints and Multiple Time Delays

et al. 2020

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In this paper, robust finite-time H ∞ filtering for uncertain switched systems with state constraints and multiple time delays is investigated. In this studied plant, there are nonlinear functions and exogenous disturbances. First, a filter is described for the switched systems. A closed-loop system is earned to acquire filtering error. Secondly, piecewise Lyapunov function is designed to gain sufficient stability conditions for the closed-loop system. Not only finite-time boundedness (FTB) but also input-output finitetime stability (IO-FTS) is studied. The attempt is the first time to research. In the end, an example is shown to demonstrate the availability of this method suggested in this study.INDEX TERMS Filtering, finite-time boundedness (FTB), finite-time stability (IO-FTS), piecewise Lyapunov function, switched systems.

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On the Asymptotic Stability of Solutions of Nonlinear Delay Differential Equations

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Yiğit

2022

J Math Sci

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New Delay-Dependent Stability Criteria for Singular Systems with Time-Varying Delay in a Range

Cited by 6 publications

References 21 publications

On the Admissibility of Nonlinear Singular Systems With Time-Varying Delays Abdullah Yigit and Cemil Tunc

On the Admissibility of Nonlinear Singular Systems With Time-Varying Delays Abdullah Yigit and Cemil Tunc

Robust Finite-Time H_∞ Filtering for Uncertain Switched Systems With State Constraints and Multiple Time Delays

On the Asymptotic Stability of Solutions of Nonlinear Delay Differential Equations

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New Delay-Dependent Stability Criteria for Singular Systems with Time-Varying Delay in a Range

Cited by 6 publications

References 21 publications

On the Admissibility of Nonlinear Singular Systems With Time-Varying Delays Abdullah Yigit and Cemil Tunc

On the Admissibility of Nonlinear Singular Systems With Time-Varying Delays Abdullah Yigit and Cemil Tunc

Robust Finite-Time H∞ Filtering for Uncertain Switched Systems With State Constraints and Multiple Time Delays

On the Asymptotic Stability of Solutions of Nonlinear Delay Differential Equations

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Robust Finite-Time H_∞ Filtering for Uncertain Switched Systems With State Constraints and Multiple Time Delays