Stability theory

idea that small causes can have large effects in complex or nonlinear dynamic systems

stationary point that is not a local extremum

constant solution to a differential equation

Nyquist stability criterion in control systems

thumb|A ball on the top of a hill is an unstable situation. In dynamical systems, instability means that some of the outputs or internal states increase with time, without bounds. Not all systems that are not stable are unstable; systems can also be marginally stable or exhibit limit cycle behavior.

part of mathematics

property of a dynamical system where solutions near an equilibrium point remain so

Mathematic test in control system theory

concept in the analysis of dynamical systems

concept in mathematics

process control theorem

concept in theory of differential equations, with applications in control theory

fixed point that does not have any center manifolds

method of determining the stability of a discrete-time linear system

continuous-time linear system with only negative real parts

characteristic polynomial whose associated linear system is stable

concept in stability theory