# Technical Document Extraction: Control Value Analysis ## Chart Description This image presents a line graph comparing control values over time for three different control strategies. The graph is titled with constant parameters: **CI = 1e-1, Cu = 1e-1** ### Axes - **X-axis (Time, t):** - Range: 0 to 5 (unitless) - Markers: Integer ticks at 0, 1, 2, 3, 4, 5 - **Y-axis (Control value, u_opt):** - Range: 0.0 to 0.7 (unitless) - Markers: Ticks at 0.0, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7 ### Legend - **ODE:** Blue line - **KOL-δ:** Red line - **KOL-m:** Purple line ### Data Trends All three control strategies (ODE, KOL-δ, KOL-m) exhibit **flat, constant control values** throughout the observed time period (t = 0 to t = 5). - **Control value:** 0.0 for all strategies - **Time duration:** No variation observed ### Key Observations 1. All control strategies maintain identical performance (u_opt = 0.0) across the entire time window. 2. No dynamic behavior or time-dependent changes are evident in any strategy. 3. The graph suggests a static system or equilibrium state under the given parameters (CI = 1e-1, Cu = 1e-1). ### Technical Notes - The absence of vertical displacement in any line indicates no sensitivity to time for the control value under the tested conditions. - The flat lines imply perfect stability or a null control input requirement for the system modeled.