The steady state gain of a system is the ratio of the output to the input when the system has reached a constant output value for a constant input signal. It indicates how the system responds to a steady-state input, regardless of transient behavior. Mathematically, it is calculated as the ratio of the output to the input when the system has reached steady state.
In transient heat transfer, the rate of heat transfer is changing with time. By definition, in steady-state heat transfer, the rate of heat transfer does NOT change with time. In the real world, heat transfer starts out as transient and then approaches steady-state with time until the difference between the actual and the ideal becomes negligible or until thermal equilibrium is approached.
Transient time refers to the period it takes for a system to reach a stable state after a change or disturbance. It is the time it takes for a system to settle down and for its outputs to stabilize after a varying input. In electrical engineering, transient time can refer to the time it takes for a signal to reach a steady state after a change in inputs or conditions.
In circuit analysis, there is steady state and transient conditions. transient conditions are how the circuit acts immediately following some action (such as turning on power, closing a switch, losing power, etc.). Steady state conditions is everything else.
Please consult some book.
Environment is the set of physical conditions surrounding a given object. It can be steady-state or transient.
A transient voltage is a time varying voltage value. Transient says that the voltage value changes, especially from a steady state, to a new value, then back again.
Peak overshoot in control systems refers to the maximum amount by which a system's response exceeds its steady-state value during a transient response. It is expressed as a percentage of the steady-state value. Peak overshoot is an important parameter as it indicates the system's stability and performance.
A resistor or an inductor. The inductor limits transient current, not steady state current.
Mean transient stability is referring to a synchronous power system's ability to overcome a large disturbance. The transient stability represents the synchronous power system stabilizing and maintain it's synchronous balance.
In steady state analysis, you assume anything that changes with time is 0. ie: d*rho/dt = 0. In transient, you keep all your d/dt terms. Steady state simplification is a handy tool to make many differential equations solvable, by reducing their "dimension", as x-direction, y-direction, z-direction, and time are each dimensions.
The time it takes for a system to reach steady state can vary depending on the system and its characteristics. In general, it can take anywhere from a few seconds to several hours for a system to reach steady state.