Stability analysis of random nonlinear systems with time-varying delay and its application

• Autores: Liqiang Cao, Weihai Zhang, Xue-Jun Xie-
• Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Nº. 117, 2020
• Idioma: inglés
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• Resumen

  • This paper studies a class of random nonlinear systems with time-varying delay, in which the r-order moment of the random disturbance is finite. Firstly, some general conditions are proposed to guarantee the existence and uniqueness of the global solution to random nonlinear time-delay systems. Secondly, some criteria on noise-to-state stability in the moment sense and in probability sense are given by Lyapunov method respectively. Finally, an adaptive output feedback regulation controller is constructed for a class of random nonlinear time-delay systems and the effectiveness of the proposed recursive procedure is demonstrated by a simulation example.