| 单词 | stability conditions |
| 释义 | stability conditions The conditions for a system to tend to revert to its original condition after a disturbance. The process of convergence may involve fluctuations, and the equilibrium state to which a system reverts may itself be a stationary state, a steady-state growth path, or some form of limit cycle. Where a system can be described by a set of linear equations, the stability conditions for a linear difference equation system are that all roots be less than 1 in absolute value; in a linear differential equation system the stability conditions are that all roots be negative in their real part. In the linear difference equation system yt = a + byt -1, for example, the system is stable and will converge on the equilibrium level y = a/(1 - b) if and only if -1 < b < 1. Stability conditions can be found for any linear system; for most non-linear systems stability can only be tested by numerical simulation. |
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