stability equation

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• Stability derivatives — are a means of linearising the equations of motion of an atmospheric flight vehicle so that conventional control engineering methods may be applied to assess their stability.The dynamics of atmospheric flight vehicles is potentially very… …   Wikipedia

• stability — /steuh bil i tee/, n., pl. stabilities. 1. the state or quality of being stable. 2. firmness in position. 3. continuance without change; permanence. 4. Chem. resistance or the degree of resistance to chemical change or disintegration. 5.… …   Universalium

• Stability theory — In mathematics, stability theory deals with the stability of solutions (or sets of solutions) for differential equations and dynamical systems. Definition Let (R, X, Φ) be a real dynamical system with R the real numbers, X a locally compact… …   Wikipedia

• Orr–Sommerfeld equation — The Orr–Sommerfeld equation, in fluid dynamics, is an eigenvalue equation describing the linear two dimensional modes of disturbance to a viscous parallel flow. The solution to the Navier–Stokes equations for a parallel, laminar flow can become… …   Wikipedia

• Stiff equation — In mathematics, a stiff equation is a differential equation for which certain numerical methods for solving the equation are numerically unstable, unless the step size is taken to be extremely small. It has proven difficult to formulate a precise …   Wikipedia

• Matrix difference equation — A matrix difference equation[1][2] is a difference equation in which the value of a vector (or sometimes, a matrix) of variables at one point in time is related to its own value at one or more previous points in time, using matrices. Occasionally …   Wikipedia

• Directional stability — is stability of a moving body or vehicle about an axis which is perpendicular to its direction of motion. Stability of a vehicle concerns itself with the tendency of a vehicle to return to its original direction in relation to the oncoming medium …   Wikipedia

• Nyquist stability criterion — The Nyquist plot for . When designing a feedback control system, it is generally necessary to determine whether the closed loop system will be stable. An example of a destabilizing feedback control system would be a car steering system that… …   Wikipedia

• Differential equation — Not to be confused with Difference equation. Visualization of heat transfer in a pump casing, created by solving the heat equation. Heat is being generated internally in the casing and being cooled at the boundary, providing a steady state… …   Wikipedia

• Longitudinal static stability — is important in determining whether an aircraft will be able to fly as intended. Static stability As any vehicle moves it will be subjected to minor changes in the forces that act on it, and in its speed. * If such a change causes further changes …   Wikipedia

• Numerical stability — In the mathematical subfield of numerical analysis, numerical stability is a desirable property of numerical algorithms. The precise definition of stability depends on the context, but it is related to the accuracy of the algorithm. A related… …   Wikipedia