Mathematical Problems in Engineering

Research Article

Multiobjective Optimal Control of HIV Dynamics

Table 3

The values of the objective functionals and corresponding values of the membership functions.
𝐼 1 ( 𝑢 ) / 𝜇 1 ( 𝐼 1 ( 𝑢 ) ) 𝐼 2 ( 𝑢 ) / 𝜇 2 ( 𝐼 2 ( 𝑢 ) ) 𝐼 3 ( 𝑢 ) / 𝜇 3 ( 𝐼 3 ( 𝑢 ) ) 𝐼 4 ( 𝑢 ) / 𝜇 4 ( 𝐼 4 ( 𝑢 ) )
Continuous control 2 . 4 5 5 0 × 1 0 5 / 0 . 3 4 7 8 − 1 . 3 5 9 2 × 1 0 7 / 0 . 7 5 1 3 − 3 7 . 5 2 3 8 / 0 . 8 9 7 9 − 3 . 4 1 4 7 × 1 0 − 1 6 / 0 . 4 3 7 9
Piecewise constant control 3 . 0 9 2 9 × 1 0 5 / 0 . 5 0 2 2 − 2 . 5 8 8 2 × 1 0 7 / 0 . 4 8 3 7 − 1 3 8 . 3 1 5 2 / 0 . 6 2 3 6 − 3 . 7 2 6 1 × 1 0 − 1 6 / 0 . 3 8 6 7
𝑢 𝑃 = 0 . 7 , 𝑢 𝑅 = 9 × 1 0 − 1 0 𝑀 1 = 5 . 1 4 9 6 × 1 0 5 / 1 𝑀 2 = − 2 . 1 6 7 9 × 1 0 6 / 1 𝑚 3 = − 3 6 7 . 5 0 0 0 / 0 𝑚 4 = − 6 . 0 7 5 0 × 1 0 − 1 6 / 0
𝑢 𝑃 = 0 , 𝑢 𝑅 = 0 𝑚 1 = 1 . 0 1 8 1 × 1 0 5 / 0 𝑚 2 = − 4 . 8 1 0 1 × 1 0 7 / 0 𝑀 3 = 0 / 1 𝑀 4 = 0 / 1