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Table 3 Allowable upper bound of \(\tau _{2}\) and d for different \(\tau _{1}\) and μ (\(\mu _{1}=\mu _{2}\))

From: Dissipative criteria for Takagi–Sugeno fuzzy Markovian jumping neural networks with impulsive perturbations using delay partitioning approach

\(\tau _{1}\) μ = 0.1 μ = 0.3 μ = 0.5 μ = 0.7 μ = 0.9
\(\tau _{1}=0\) \(\tau _{2}=0.5806\) \(\tau _{2}=0.5369\) \(\tau _{2}=0.5324\) \(\tau _{2}=0.5296\) \(\tau _{2}=0.5294\)
d = 0.5264 d = 0.5036 d = 0.5031 d = 0.5028 d = 0.5025
\(\tau _{1}=0.2\) \(\tau _{2}=0.6049\) \(\tau _{2}=0.5687\) \(\tau _{2}=0.5538\) \(\tau _{2}=0.5525\) \(\tau _{2}=0.5506\)
d = 0.6588 d = 0.6459 d = 0.6426 d = 0.6415 d = 0.6412
\(\tau _{1}=0.4\) \(\tau _{2}=0.7834\) \(\tau _{2}=0.7426\) \(\tau _{2}=0.7354\) \(\tau _{2}=0.7328\) \(\tau _{2}=0.7321\)
d = 0.6744 d = 0.6703 d = 0.6693 d = 0.6685 d = 0.6680