section_path: Applications/In applied mathematics/Control theory
section_name: Control theory
paragraph_text: Control theory
  
  In control theory, systems are often transformed from the time domain to the complex frequency domain using the Laplace transform. The system's zeros and poles are then analyzed in the complex plane. The root locus, Nyquist plot, and Nichols plot techniques all make use of the complex plane.
  
  In the root locus method, it is important whether zeros and poles are in the left or right half planes, that is, have real part greater than or less than zero. If a linear, time-invariant (LTI) system has poles that are
  
  If a system has zeros in the right half plane, it is a nonminimum phase system.