Mathematical Problems in Engineering

Research Article

Multiobjective Optimal Control of HIV Dynamics

Table 2

Considered ranges for states and controls and corresponding number of partitions.
StateRangeNumber of partitions
𝜉 1 (Healthy C D 4 + 𝑇 cells) 𝐴 1 = [ 2 0 0 , 1 0 0 0 ] 𝑛 1 = 5
𝜉 2 (Infected C D 4 + 𝑇 cells) 𝐴 2 = [ 5 , 3 0 ] 𝑛 2 = 3
𝜉 3 (CTLp) 𝐴 3 = [ 0 , 1 . 6 ] 𝑛 3 = 2
𝜉 4 (CTLe) 𝐴 4 = [ 0 , 1 . 3 ] 𝑛 4 = 2
𝜉 5 (Viral load) 𝐴 5 = [ 5 0 0 , 3 5 0 0 0 ] 𝑛 5 = 1 0
𝜉 6 (aggressiveness of the virus) 𝐴 6 = [ 0 , 2 × 1 0 − 7 ] 𝑛 6 = 1
𝑢 𝑃 (PI Control) 𝑈 1 = [ 0 , 0 . 7 ] 𝑠 1 = 3
𝑢 𝑅 (RTI Control) 𝑈 2 = [ 0 . 9 × 1 0 − 1 0 ] 𝑠 2 = 3