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The stability of distributed neutral delay differential systems with Markovian switching

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  • Ravi Kumar, R.
  • Chong, Kil To

Abstract

This paper is concerned with the stability analysis of neutral-type stochastic distributed delay differential systems described by Markovian switching. This system has some special kind of neutral behaviour with uncertain distributed time delays occurring in the state variables. Based on the Lyapunov function, novel methodologies for analyzing stability criteria, and the design of an uncertain distributed delay model are presented. The proposed method is an alternative way to study the robustness and stability of uncertain distributed delays with neutral systems. In order to demonstrate the applicability of the results, the investigation considers two specific examples.

Suggested Citation

  • Ravi Kumar, R. & Chong, Kil To, 2012. "The stability of distributed neutral delay differential systems with Markovian switching," Chaos, Solitons & Fractals, Elsevier, vol. 45(4), pages 416-425.
    • Handle: RePEc:eee:chsofr:v:45:y:2012:i:4:p:416-425
    DOI: 10.1016/j.chaos.2011.12.015
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    References listed on IDEAS

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    1. Ambika, G. & Amritkar, R.E., 2011. "Synchronizing time delay systems using variable delay in coupling," Chaos, Solitons & Fractals, Elsevier, vol. 44(11), pages 1035-1042.
    2. Yang, Kailiang & Lu, Jun Guo, 2009. "Robust variance-constrained control for a class of continuous time-delay systems with parameter uncertainties," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2179-2187.
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    Cited by:

    1. Ye, Zhiyong & Zhang, He & Zhang, Hongyu & Zhang, Hua & Lu, Guichen, 2015. "Mean square stabilization and mean square exponential stabilization of stochastic BAM neural networks with Markovian jumping parameters," Chaos, Solitons & Fractals, Elsevier, vol. 73(C), pages 156-165.

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