How do pole locations affect system response characteristics?

Pole locations in s-plane determine response: real part sigma affects decay rate (more negative = faster decay), imaginary part omega_d determines oscillation frequency. For dominant complex poles: damping ratio zeta = -sigma/|pole|, natural frequency omega_n = |pole|, settling time approx 4/|sigma|, overshoot depends on zeta. Poles further left give faster response but require more control effort. Zeros can cause undershoot or slow response. Design often targets specific s-plane regions for desired transient response.