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Journal of Automation and Information Sciences

Published 12 issues per year

ISSN Print: 1064-2315

ISSN Online: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

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Absolute Interval Stability of Indirect Regulating Systems of Neutral Type

Volume 42, Issue 6, 2010, pp. 43-54
DOI: 10.1615/JAutomatInfScien.v42.i6.30
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ABSTRACT

The Lyapunov direct method with the Lyapunov−Krasovskiy functional is under investigation. We proved sufficient criteria of stability, namely, absolute by nonlinearity and interval by parameters. Criteria of stability and estimates of convergence of solutions are given in the form of constructive algebraic inequalities.

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CITED BY
  1. Shatyrko Andriy, Khusainov Denys, On the Interval Stability of Weak-Nonlinear Control Systems with Aftereffect, The Scientific World Journal, 2016, 2016. Crossref

  2. Ren Jiaojiao, Zhu Hong, Zhong Shouming, Zhou Xia, Robust stability of uncertain Markovian jump neural networks with mode-dependent time-varying delays and nonlinear perturbations, Advances in Difference Equations, 2016, 1, 2016. Crossref

  3. Liao Fucheng, Yu Xiao, Deng Jiamei, Absolute stability of time-varying delay Lurie indirect control systems with unbounded coefficients, Advances in Difference Equations, 2017, 1, 2017. Crossref

  4. Domoshnitsky Alexander, Volinsky Irina, Levi Shai, Shemesh Shirel, Stability of third order neutral delay differential equations, RENEWABLE ENERGY SOURCES AND TECHNOLOGIES, 2161, 2019. Crossref

  5. Gasilov Nizami A., Emrah Amrahov Şahin, On differential equations with interval coefficients, Mathematical Methods in the Applied Sciences, 43, 4, 2020. Crossref

  6. Dong Yali, Liu Jinying, Exponential stabilization of uncertain nonlinear time-delay systems, Advances in Difference Equations, 2012, 1, 2012. Crossref

  7. Domoshnitsky Alexander, Gitman Michael, Shklyar Roman, Stability and estimate of solution to uncertain neutral delay systems, Boundary Value Problems, 2014, 1, 2014. Crossref

  8. Dong Yali, Li Tianrui, Zhang Xuehua, Stability analysis of nonlinear observer for neutral uncertain time-delay systems, Advances in Difference Equations, 2014, 1, 2014. Crossref

  9. Domoshnitsky Alexander, Levi Shai, Kappel Ron Hay, Litsyn Elena, Yavich Roman, Vougalter V., Volpert V., Stability of neutral delay differential equations with applications in a model of human balancing, Mathematical Modelling of Natural Phenomena, 16, 2021. Crossref

  10. Diblík Josef, Khusainov Denys Ya, Shatyrko Andriy, Baštinec Jaromír, Svoboda Zdeněk, Absolute Stability of Neutral Systems with Lurie Type Nonlinearity, Advances in Nonlinear Analysis, 11, 1, 2021. Crossref

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