dynamical systems

It is asymptotically stable if and only if the eigenvalues of A have strictly negative real part. Theorem 1.1 If the eigenvalues A have strictly negative real ...

Definition: A system is unstable if it is neither asymptotically stable nor marginally stable. ... The refinement of “not asymptotically stable” into marginal ...

2018年1月30日 — It definitely looks as if being asymptotically stable implies being stable. However my confusion is if the same can be said about the other way ...

2006年10月11日 — Asymptotic stability additionally characterizes attraction of nearby orbits to this orbit in the long-time limit. The distinct concept of ...

The fixed point a is stable if the absolute value of the derivative of f at a is strictly less than 1, and unstable if it is strictly greater than 1. This is ...

Definition (neutrally stable). A steady state solution y⇤ of the system ˙y = F(y) is called neutrally stable if it is not locally asymptotically stable and if.

2018年10月6日 — Means if you give some finite or bounded input to a system the system output is also finite/bounded, or not continously growing.

2002年10月23日 — Essentially, this means that not only do initial conditions close to the origin stay close to the origin (stable), they also approach the origin ...