1. What are the contributions mentioned in the paper "A gradient-based parameter identification method for time-delay chaotic systems" ?
In this paper, the parameter identification problem for a general class of time-delay chaotic systems is considered.. The authors propose a gradient-based optimization algorithm to solve this problem, where accurate values for the partial derivatives of the error function are obtained by solving a set of auxiliary time-delay systems.
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![Fig. 3: Solution of system (17)-(18) with parameter values (20) and past state x(t) = 0.5, t ≤ 0 (the dashed line is the state trajectory on [0, 350]; the solid line is the state trajectory on [350, 400]).](/figures/fig-3-solution-of-system-17-18-with-parameter-values-20-and-2aa9kcdw.webp)
![Fig. 1: Solution of system (12)-(13) with parameter values (15) and past state x(t) = 1, t ≤ 0 (the dashed line is the state trajectory on [0, 2]; the solid line is the state trajectory on [2, 4]).](/figures/fig-1-solution-of-system-12-13-with-parameter-values-15-and-2o558fun.webp)