Concept

Steady state

Summary
In systems theory, a system or a process is in a steady state if the variables (called state variables) which define the behavior of the system or the process are unchanging in time. In continuous time, this means that for those properties p of the system, the partial derivative with respect to time is zero and remains so: : \frac{\partial p}{\partial t} = 0 \quad \text{for all present and future } t. In discrete time, it means that the first difference of each property is zero and remains so: :p_t-p_{t-1}=0 \quad \text{for all present and future } t. The concept of a steady state has relevance in many fields, in particular thermodynamics, economics, and engineering. If a system is in a steady state, then the recently observed behavior of the system will continue into the future. In stochastic systems, the probabilities that various states will be repeated will remain constant. See for example Linear difference equation#Conversion to homog
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