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Article
Output-Feedback Stochastic Nonlinear Stabilization and Inverse Optimality

Authors: Radhi A. Zaboon --- Auras K. Hameed --- Jehad R. Khider
Journal: Engineering and Technology Journal مجلة الهندسة والتكنولوجيا ISSN: 16816900 24120758 Year: 2011 Volume: 29 Issue: 7 Pages: 1251-1264
Publisher: University of Technology الجامعة التكنولوجية

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Abstract

Output-feedback (observer-based) robust and optimal control law which guaranteesglobal (local) asymptotic stability in probability for nonlinear stochastic dynamicsystem are stated, developed and proved with the help of stochastic Lyapunov functionapproach supported by necessary theorems and an illustrative example. The inverseoptimal stabilization in probability with suitable performance index has also beenstated and developed.


Article
The Generalized Backstepping Control Method for Stabilizing and Solving Systems of Multiple Delay Differential Equations

Authors: Saja F. Noaman --- Fadhel S. Fadhel
Journal: Al-Nahrain Journal of Science مجلة النهرين للعلوم ISSN: (print)26635453,(online)26635461 Year: 2018 Volume: 00 Issue: 1 Pages: 150-156
Publisher: Al-Nahrain University جامعة النهرين

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Abstract

In this paper, a generalized approach of the backstepping method for stabilizing and solving system of ordinary differential equations will be applied for systems of differential equations with multiple delay by transforming the non-linear system of delay differential equations into a system of ordinary differential equations with cooperation of the method of steps. The basic idea of this approach is to find Lyapunov function for stabilizing the system of different time steps which is chosen as the definitions of the present approach.

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