Finite-time stability of delayed systems

Lazarević, Mihailo P.; Debeljković, Dragutin Lj.; Nenadić, Z. Lj.; Milinković, S.A.

doi:10.1093/imamci/17.2.101

Cited by 53 publications

(32 citation statements)

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“…Luo et al extend to 1 linear to nonlinear cases, where Gronwall inequality approach is used. Liang et al extend the study of Lazarević et al and Luo et al to study a second order–delayed system based on the notation of delayed matrix cosine/sine of a polynomial of degree. For more recent contributions, we refer the reader to several previous studies .…”

Section: Introductionmentioning

confidence: 99%

Finite‐time stability of a class of oscillating systems with two delays

Cao

Wang

2018

Math Methods in App Sciences

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In this paper, we study finite‐time stability of an oscillating system with 2 delays. To derive a bounded of state vector, we use a representation of explicit solution involving 2‐delayed matrix polynomial of 2 indices after deriving some fundamental estimates for such delayed matrix polynomial of 2 indices. A sufficient condition is given. Finally, an example is given to demonstrate the application of the main result.

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Section: Introductionmentioning

confidence: 99%

Finite‐time stability of a class of oscillating systems with two delays

Cao

Wang

2018

Math Methods in App Sciences

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“…Here, system stability analysis from the non‐Lyapunov point of view is studied . In addition, the linear time‐delay systems stability in the context of finite‐time stability was described and considered . In another context, the finite‐time stability of neural network systems was investigated in related works …”

Section: Introductionmentioning

confidence: 99%

Finite‐time stability of linear fractional‐order time‐delay systems

Naifar

Nagy

Makhlouf

et al. 2018

Intl J Robust & Nonlinear

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Summary In this paper, a finite‐time stability results of linear delay fractional‐order systems is investigated based on the generalized Gronwall inequality and the Caputo fractional derivative. Sufficient conditions are proposed to the finite‐time stability of the system with the fractional order. Numerical results are given and compared with other published data in the literature to demonstrate the validity of the proposed theoretical results.

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“…There are few results on FTS of time-delay systems. Some early results on FTS of time-delay systems can be found in [12][13][14][15][16][17][18]. The results of these investigations are conservative because they use boundedness proprieties of the system response, i.e., of the solution of system models.…”

Section: Introductionmentioning

confidence: 99%

Finite time stability of continuous time delay systems: Jensen's inequality-based approach

Debeljković

Buzurović

Dimitrijevic³

et al. 2014

2014 9th IEEE Conference on Industrial Electronics and Applications

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In this study, finite-time stability of the linear continuous time-delay systems was investigated. A novel formulation of the Lyapunov-like function was used to develop a new sufficient delay-dependent condition for finite-time stability. The proposed function does not need to be positive-definite in the whole state space, and it does not need to have negative derivatives along the system trajectories. The proposed method was compared with the previously developed and reported methodologies. It was concluded that the stability investigation using the novel condition for stability investigation was less complicated for numerical calculations. Furthermore, it gives comparable results in comparison with the ones obtained with other analyzed conditions, and it provides superior results for some systems.

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Finite-time stability of delayed systems

Cited by 53 publications

References 0 publications

Finite‐time stability of a class of oscillating systems with two delays

Finite‐time stability of a class of oscillating systems with two delays

Finite‐time stability of linear fractional‐order time‐delay systems

Finite time stability of continuous time delay systems: Jensen's inequality-based approach

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