Performance Comparison between Nonidentical Segmented Exponential Concave and Nonidentical Segmented Exponential Convex Serrated CATRs

Table 1

Nonidentical exponential serration functions.

	Nonidentical segmented concave	Nonidentical segmented convex
Defining equation	𝑓(𝑥^′)=𝑦1+𝑦2+𝑦3+𝑦4,	𝑓(𝑥^′)=𝑦1+𝑦2+𝑦3+𝑦4,
	𝑦1=𝑡𝑝2−𝑝1(𝑥^′+𝑝2),−𝑝2<𝑥^′<−𝑝1,	𝑦1=𝑡𝑝2−𝑝1(𝑥^′+𝑝2),−𝑝2<𝑥^′<−𝑝1,
	𝑦2=𝑡0𝑒^−𝑎𝑥′,−𝑝1<𝑥^′<0,	𝑦2=𝑡0+𝑡(1−𝑒^𝑎𝑥′),−𝑝1<𝑥^′<0
	𝑦3=𝑡0𝑒^𝑎𝑥′,0<𝑥^′<𝑝1,	𝑦3=𝑡0+𝑡(1−𝑒^−𝑎𝑥′),0<𝑥^′<𝑝1,
	𝑦4=𝑡𝑝1−𝑝2(𝑥^′−𝑝2),𝑝1<𝑥^′<𝑝2,	𝑦4=𝑡𝑝1−𝑝2(𝑥^′−𝑝2),𝑝1<𝑥^′<𝑝2,
	where 𝑡0=𝑡𝑒^−𝑎𝑝1.	where 𝑡0=𝑡𝑒^−𝑎𝑝1.