Explore: Systems Stability

Various types of stability may be discussed for the solutions of differential equations or difference equations describing dynamical systems. The most important

The stability of the Solar System is a subject of much inquiry in astronomy. Though the planets have historically been stable as observed, and will be

Electronic stability control (ESC), also referred to as electronic stability program (ESP) or dynamic stability control (DSC), is a computerized technology

In mathematics, stability theory addresses the stability of solutions of differential equations and of trajectories of dynamical systems under small perturbations

generalization to more complex systems with multiple inputs and multiple outputs, such as control systems for airplanes. The Nyquist stability criterion is widely

Structural stability of the system provides a justification for applying the qualitative theory of dynamical systems to analysis of concrete physical systems. The

discrete time systems respectively) for a system to be marginally stable, this situation is unlikely to occur in practice unless marginal stability is an inherent

guidance system. Inertial guidance systems accumulate errors over time. They will incorporate error reduction systems such as the carousel system that rotates

dynamical systems Asymptotic stability Exponential stability Linear stability Lyapunov stability Marginal stability Orbital stability Structural stability Stability

Exponential stability is a form of asymptotic stability, valid for more general dynamical systems. Consider the system x ˙ = f ( t , x ) ,   x ( t 0 ) = x 0