Abstract

AbstractThis work is allocated to investigate the problem of stabilization and fault tracking of fractional‐order (FO) fuzzy financial time‐delay system. And some situations that affect or collapse the whole system are taken into account as faults in system states. Precisely, an observer‐based controller that incorporates the estimated‐fault is introduced into the addressed system to handle these kinds of faults, and is called fuzzy fault‐tolerant controller. Moreover, a novel class of linear‐matrix‐inequality (LMI) constrains are derived forasymptotic stability of addressed system by using Lyapunov–Krasovskii (LK) functional employee. At last, a numerical example part includes two samples are given to assist the derived theoretical results.

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