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E. Gryazina and B. Polyak, “Stability Regions in the Parameter Space: D-Decomposition Revisited,” Automatica, Vol. 42, No. 1, 2006, pp. 13-26. doi:10.1016/j.automatica.2005.08.010

has been cited by the following article:

• TITLE: Randomized Algorithm for Determining Stabilizing Parameter Regions for General Delay Control Systems

  AUTHORS: Chao Yu, Binh-Nguyen Le, Xian Li, Qing-Guo Wang

  KEYWORDS: Stabilizing Parameter Regions; Delay Control Systems; Randomized Sampling; LMI Stability Criterion; Support Vector Machines

  JOURNAL NAME: Journal of Intelligent Learning Systems and Applications, Vol.5 No.2, May 22, 2013

  ABSTRACT: This paper proposes a method for determining the stabilizing parameter regions for general delay control systems based on randomized sampling. A delay control system is converted into a unified state-space form. The numerical stability condition is developed and checked for sample points in the parameter space. These points are separated into stable and unstable regions by the decision function obtained from some learning method. The proposed method is very general and applied to a much wider range of systems than the existing methods in the literature. The proposed method is illustrated with examples.