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Stability | A Wisdom Archive on Stability |  | Stability A selection of articles related to Stability |  |
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stability, Stability, Homeostasis, Equilibrium, Balance, Instability
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ARTICLES RELATED TO Stability | |
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 |  |  | Stability: Encyclopedia II - Control theory - Stability(It seems that here the author assumes that the transfer function of the system is rational. Can someone confirm if this is true also for nonrational transfer functions? References?)
Stability (in control theory) often means that for any bounded input over any amount of time, the output will also be bounded. This is known as BIBO stability (see also Lyapunov stability). If a system is BIBO stable then the output cannot "blow up" if the input remains finite. Mathematically, this means that for a linear continuous-time system to ...
See also:Control theory, Control theory - An example, Control theory - History, Control theory - Classical control theory, Control theory - Stability, Control theory - Controllability and observability, Control theory - Control specifications, Control theory - Model identification and robustness, Control theory - Main control strategies, Control theory - PID controllers, Control theory - Direct pole placement, Control theory - Optimal control, Control theory - Adaptive control, Control theory - Non-linear control systems, Control theory - Appendix A Read more here: » Control theory: Encyclopedia II - Control theory - Stability |
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 |  |  | Stability: Encyclopedia II - Optical cavity - StabilityOnly a narrow range of possible values for R1, R2, and L produce stable resonators in which periodic refocussing of the intracavity beam is produced. If the cavity is unstable, the beam size will grow without limit, eventually growing larger than the size of the cavity mirrors and being lost. By using methods such as ray transfer matrix analysis, it is possible to calculate a stability criterion:
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Values which satisfy the inequality correspond to stable resonators.
The stability can be shown graphically by defining a stability parameter, ...
See also:Optical cavity, Optical cavity - Resonator modes, Optical cavity - Resonator types, Optical cavity - Stability, Optical cavity - Practical resonators, Optical cavity - Optical Delay Line Read more here: » Optical cavity: Encyclopedia II - Optical cavity - Stability |
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 |  |  | Stability: Encyclopedia II - Control theory - StabilityStability (in control theory) often means that for any bounded input over any amount of time, the output will also be bounded. This is known as BIBO stability (see also Lyapunov stability). If a system is BIBO stable then the output cannot "blow up" if the input remains finite. Mathematically, this means that for a linear continuous-time system to be stable all of the poles of its transfer function must
lie in the closed left half of the complex plane if the Laplace transform is used (i.e. its rea ...
See also:Control theory, Control theory - An example, Control theory - History, Control theory - Classical control theory, Control theory - Stability, Control theory - Controllability and observability, Control theory - Control specifications, Control theory - Model identification and robustness, Control theory - Main control strategies, Control theory - PID controllers, Control theory - Direct pole placement, Control theory - Optimal control, Control theory - Adaptive control, Control theory - Non-linear control systems, Control theory - Appendix A Read more here: » Control theory: Encyclopedia II - Control theory - Stability |
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 |  |  | Stability: Encyclopedia II - Helicopter - StabilityFixed wing aircraft are designed to be inherently stable. If a gust of wind or a nudge to one of the controls causes a fixed wing aircraft to pitch, roll, or yaw, the aerodynamic design of the aircraft will tend to correct the motion, and the aircraft will return to its original attitude. A small, fixed wing aircraft can be stable enough that a pilot can let go of the controls while looking at a map or dealing with a radio, and ...
See also:Helicopter, Helicopter - Applications, Helicopter - History, Helicopter - Generating lift, Helicopter - Conventional layout, Helicopter - Alternative layouts, Helicopter - Controlling flight, Helicopter - Stability, Helicopter - Limitations, Helicopter - Landing, Helicopter - On a ship, Helicopter - Hazards of helicopter flight, Helicopter - Helicopter models and identification Read more here: » Helicopter: Encyclopedia II - Helicopter - Stability |
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 |  |  | Stability: Encyclopedia II - Helicopter - StabilityFixed wing aircraft are usually inherently stable. If a gust of wind or a nudge to one of the controls causes a fixed wing aircraft to pitch, roll, or yaw, the aerodynamic design of the aircraft will tend to correct the motion, and the aircraft will return to its original attitude. Many small, fixed wing aircraft are stable enough that a pilot can let go of the controls while looking at a map or dealing with a radio, and ...
See also:Helicopter, Helicopter - Applications, Helicopter - History, Helicopter - Generating lift, Helicopter - Conventional layout, Helicopter - Alternative layouts, Helicopter - Controlling flight, Helicopter - Stability, Helicopter - Limitations, Helicopter - Landing, Helicopter - On a ship, Helicopter - Hazards of helicopter flight, Helicopter - Helicopter models and identification Read more here: » Helicopter: Encyclopedia II - Helicopter - Stability |
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 |  |  | Stability: Encyclopedia II - Nash equilibrium - StabilityThe concept of stability, useful in the analysis of many kinds of equilibrium can also be applied to Nash equilibria.
A Nash equilibrium for a mixed strategy game is stable if a small change (specifically a infinitesimal change) in probabilities for one player leads to a situation where two conditions hold:
the player who did not change has no better strategy in the new circumstance
the player who did change is now ...
See also:Nash equilibrium, Nash equilibrium - Formal definition and existence of Nash equilibria, Nash equilibrium - Proof sketch, Nash equilibrium - Examples, Nash equilibrium - Competition game, Nash equilibrium - Coordination game, Nash equilibrium - Prisoner's dilemma, Nash equilibrium - NE in Payoff Matrix, Nash equilibrium - Stability, Nash equilibrium - Occurrence, Nash equilibrium - Where the conditions are not met, Nash equilibrium - Where the conditions are met, Nash equilibrium - Notes Read more here: » Nash equilibrium: Encyclopedia II - Nash equilibrium - Stability |
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 |  |  | Stability: Encyclopedia II - Nash equilibrium - StabilityThe concept of stability, useful in the analysis of many kinds of equilibrium can also be applied to Nash equilibria.
A Nash equilibrium for a mixed strategy game is stable if a small change (specifically a infinitesimal change) in probabilities for one player leads to a situation where two conditions hold:
the player who did not change has no better strategy in the new circumstance
the player who did change is now ...
See also:Nash equilibrium, Nash equilibrium - Formal definition and existence of Nash equilibria, Nash equilibrium - Proof sketch, Nash equilibrium - Examples, Nash equilibrium - Competition game, Nash equilibrium - Coordination game, Nash equilibrium - Prisoner's dilemma, Nash equilibrium - Nash Equilibria in a Payoff Matrix, Nash equilibrium - Stability, Nash equilibrium - Occurrence, Nash equilibrium - Where the conditions are not met, Nash equilibrium - Where the conditions are met, Nash equilibrium - Notes Read more here: » Nash equilibrium: Encyclopedia II - Nash equilibrium - Stability |
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 |  |  | Stability: Encyclopedia II - Nash equilibrium - StabilityThe concept of stability, useful in the analysis of many kinds of equilibrium, can also be applied to Nash equilibria.
A Nash equilibrium for a mixed strategy game is stable if a small change (specifically, an infinitesimal change) in probabilities for one player leads to a situation where two conditions hold:
the player who did not change has no better strategy in the new circumstance
the player who did change is now ...
See also:Nash equilibrium, Nash equilibrium - Formal definition and existence of Nash equilibria, Nash equilibrium - Proof sketch, Nash equilibrium - Examples, Nash equilibrium - Competition game, Nash equilibrium - Coordination game, Nash equilibrium - Prisoner's dilemma, Nash equilibrium - Nash Equilibria in a Payoff Matrix, Nash equilibrium - Stability, Nash equilibrium - Occurrence, Nash equilibrium - Where the conditions are not met, Nash equilibrium - Where the conditions are met, Nash equilibrium - Notes Read more here: » Nash equilibrium: Encyclopedia II - Nash equilibrium - Stability |
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 |  |  | Stability: Encyclopedia II - Lagrangian point - StabilityThe first three Lagrangian points are technically stable only in the plane perpendicular to the line between the two bodies. This can be seen most easily by considering the L1 point. A test mass displaced perpendicularly from the central line would feel a force pulling it back towards the equilibrium point. This is because the lateral components of the two masses' gravity would add to produce this force, whereas the components along the axis between them would balance out. However, if an object located at the L1 point d ...
See also:Lagrangian point, Lagrangian point - History and concepts, Lagrangian point - The Lagrangian points, Lagrangian point - L1, Lagrangian point - L2, Lagrangian point - L3, Lagrangian point - L4 and L5, Lagrangian point - Stability, Lagrangian point - Other examples in the solar system, Lagrangian point - Other co-orbitals Read more here: » Lagrangian point: Encyclopedia II - Lagrangian point - Stability |
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 |  |  | Stability: Encyclopedia II - Game development - StabilityDespite the popularity of video games, work in this area is very volatile. Scores of game development studios crop up, work on one game, and then quickly go under. This may be one reason why game developers tend to congregate in one geographic area—once their current studio goes under, they flock to an adjacent one or start another from the ground up.
In an industry where only the top 5% of products make a profit, it's easy to understand this fluctuation. Numerous games go into development and are either canceled or completed, but n ...
See also:Game development, Game development - Overview, Game development - Roles, Game development - The development process, Game development - Pre-production, Game development - Production, Game development - Milestones, Game development - Nearing completion, Game development - Maintenance, Game development - Culture, Game development - Duration, Game development - Locales, Game development - Stability, Game development - Indie game development, Game development - Making your own games, Game development - 3D games Read more here: » Game development: Encyclopedia II - Game development - Stability |
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 |  |  | Stability: Encyclopedia II - Lagrangian point - StabilityThe first three Lagrangian points are technically stable only in the plane perpendicular to the line between the two bodies. This can be seen most easily by considering the L1 point. A test mass displaced perpendicularly from the central line would feel a force pulling it back towards the equilibrium point. This is because the lateral components of the two masses' gravity would add to produce this force, whereas the components along the axis between them would balance out. However, if an object located at the L1 point d ...
See also:Lagrangian point, Lagrangian point - History and concepts, Lagrangian point - The Lagrangian points, Lagrangian point - L1, Lagrangian point - L2, Lagrangian point - L3, Lagrangian point - L4 and L5, Lagrangian point - Stability, Lagrangian point - Libration point missions, Lagrangian point - Natural examples, Lagrangian point - Other co-orbitals Read more here: » Lagrangian point: Encyclopedia II - Lagrangian point - Stability |
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