Finite-time $H_{\infty }$ bounded control of networked control systems with mixed delays and stochastic nonlinearities

Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 1 Optimal values for different time-delay upper bound $d_{M}$ when $\bar{\mu }=0$

$d_{M}$	4	6	8	12
Theorem 3 in [29]	$\gamma _{\min}=0.4243$	$\gamma _{\min}=0.5901 $	$\gamma _{\min}=0.7751 $	$\gamma _{\min}=1.2997 $
Theorem 3 in [29]	$c_{2\min}=2.3383$	$c_{2\min}=3.2000$	$c_{2\min}=4.2679$	$c_{2\min}=6.8833 $
Theorem 3	$\gamma _{\min}=0.2208$	$\gamma _{\min}=0.2636$	$\gamma _{\min}=0.3072$	$\gamma _{\min}=0.3131$
Theorem 3	$c_{2\min}=1.5068$	$c_{2\min}=1.8734$	$c_{2\min}=2.2580$	$c_{2\min}=2.7284$

\(d_{M}\)	4	6	8	12
Theorem 3 in [29]	\(\gamma _{\min}=0.4243\)	\(\gamma _{\min}=0.5901 \)	\(\gamma _{\min}=0.7751 \)	\(\gamma _{\min}=1.2997 \)
Theorem 3 in [29]	\(c_{2\min}=2.3383\)	\(c_{2\min}=3.2000\)	\(c_{2\min}=4.2679\)	\(c_{2\min}=6.8833 \)
Theorem 3	\(\gamma _{\min}=0.2208\)	\(\gamma _{\min}=0.2636\)	\(\gamma _{\min}=0.3072\)	\(\gamma _{\min}=0.3131\)
Theorem 3	\(c_{2\min}=1.5068\)	\(c_{2\min}=1.8734\)	\(c_{2\min}=2.2580\)	\(c_{2\min}=2.7284\)