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临界稳定 - 维基百科,自由的百科全书
WebIf any term in the partial fraction expansion is marginally stable, then the whole system is, at best, marginally stable. Hence, (for systems with proper rational transfer functions)wehavethe Stability Theorem: 1. A system is asymptotically stable if all its poles have negative real parts. 2. A system is unstable if any pole has a positive real ... Webbe stated in the form of the following discrete-time stability theorem valid for the case of distinct system eigenvalues. Theorem 7.7 A discrete-time linear time invariant systemwith distinct eigenval-ues is asymptotically stable if i.Itis stable (marginally stable) for i, and it is unstable if there exists an eigenvalue such that i. ewell grove primary
Section 3 Stability - College of Engineering
http://xue.woyoujk.com/x/120984.html In the theory of dynamical systems and control theory, a linear time-invariant system is marginally stable if it is neither asymptotically stable nor unstable. Roughly speaking, a system is stable if it always returns to and stays near a particular state (called the steady state), and is unstable if it goes farther and … See more A homogeneous continuous linear time-invariant system is marginally stable if and only if the real part of every pole (eigenvalue) in the system's transfer-function is non-positive, one or more poles have zero real part and non-zero … See more Marginal stability is also an important concept in the context of stochastic dynamics. For example, some processes may follow a random walk, given in discrete time as $${\displaystyle x_{t}=x_{t-1}+e_{t},}$$ where See more A homogeneous discrete time linear time-invariant system is marginally stable if and only if the greatest magnitude of any of the poles (eigenvalues) of the transfer function is 1, and … See more A marginally stable system is one that, if given an impulse of finite magnitude as input, will not "blow up" and give an unbounded output, but neither will the output return to … See more • Lyapunov stability • Exponential stability See more http://www.ichacha.net/marginally.html bruce wade clinton township