as2+bs+c
We can classify the systems based on stability as follows. Absolutely stable system Conditionally stable system Marginally stable system Absolutely Stable System If the system is stable for all the range of system component values, then it is known as the absolutely stable system. The open loop control system is absolutely stable if all the poles of the open loop transfer function present in left half of ‘s’ plane. Similarly, the closed loop control system is absolutely stable if all the poles of the closed loop transfer function present in the left half of the ‘s’ plane. Conditionally Stable System If the system is stable for a certain range of system component values, then it is known as conditionally stable system. Marginally Stable System If the system is stable by producing an output signal with constant amplitude and constant frequency of oscillations for bounded input, then it is known as marginally stable system. The open loop control system is marginally stable if any two poles of the open loop transfer function is present on the imaginary axis. Similarly, the closed loop control system is marginally stable if any two poles of the closed loop transfer function is present on the imaginary axis.
An operating system (OS) is the software used to run a computer. Windows is an example for a operating system. Apple designed the Mac OS to run more stable.
At lower energy, a system is more stable. At a higher energy, the system will have a tendency to achieve a lower energy. For example, a ball tends to roll down a slope, a compressed (or extended) spring tends to relax.At lower energy, a system is more stable. At a higher energy, the system will have a tendency to achieve a lower energy. For example, a ball tends to roll down a slope, a compressed (or extended) spring tends to relax.At lower energy, a system is more stable. At a higher energy, the system will have a tendency to achieve a lower energy. For example, a ball tends to roll down a slope, a compressed (or extended) spring tends to relax.At lower energy, a system is more stable. At a higher energy, the system will have a tendency to achieve a lower energy. For example, a ball tends to roll down a slope, a compressed (or extended) spring tends to relax.
A stable system is one that holds stability and is dependable. An unstable system is just the opposite. You do not know what to expect from an unstable system; it is not close to being dependable.
For example titanium dioxide (TiO2) is a stable and nontoxic compound.
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Thermodynamically stable means that a system is in a state where its energy is at a minimum and it is in equilibrium. This state is achieved when the system has reached its lowest energy level and is not easily disturbed. A thermodynamically stable system is less likely to undergo spontaneous changes or reactions, making it more stable overall.
Saddle node bifurcation is a type of critical point in dynamical systems where two fixed points collide and disappear. An example of this can be seen in the logistic map, where the system transitions from having two stable fixed points to one stable fixed point as a parameter is varied. Another example is in the FitzHugh-Nagumo model, where the system switches from having one stable fixed point to none as a parameter changes.
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For example, xenon, a noble gas can form stable compounds.
In order to determine if equilibrium is stable or unstable, you can analyze the system's response to small disturbances. If the system returns to its original state after a disturbance, it is stable. If the system moves further away from equilibrium after a disturbance, it is unstable.
Hi from Panha at PUC.