System Dynamics & Causal Feedback Loops

Industrial & Systems Engineering

How It Works

System dynamics investigates complex non-linear macroscopic systems using feedback loops, stocks, and flows. Reinforcing feedback loops drive exponential growth or collapse, whereas balancing feedback loops with time delays act as self-correcting governors, producing stable oscillatory equilibrium or limit-cycle dynamics.

Governing Equation
dx / dt = f(x(t), t) - g(x(t - τ), t) , G(s) = (K / (1 + s · τ)) / (1 + G_{ol}(s))