Lei Guo's research while affiliated with Chinese Academy of Sciences and other places
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Publications (3)
In this note we show that for a given controllable pair (A, B) and any λ > 0, a gain matrix K can be chosen so that the transition matrix e
{(A+BK)t}
of the system x = (A + BK) x decays at the exponential rate e
−λt
and the overshoot of the transition matrix can be bounded by Mλ
L
for some constants M and L that are independent of λ. As a consequen...
Feedback is a most important concept in control systems, its main purpose is to deal with internal and/or external uncertainties in dynamical systems, by using the on-line observed information. Thus, a fundamental problem in control theory is to understand the maximum capability and potential limits of the feedback mechanism. This paper gives a sur...
It is well known that the transient behaviors of the traditional adaptive control may be very poor in general, and that the adaptive control designed based on switching between multiple models is an intuitively appealing and practically feasible approach to improve the transient performances. In this paper, we prove that for a typical class of line...
Citations
... and for λ ∈ Ω 1 , we define a (n + 1) × (n + 1) matrix P = P (λ) as follows (see [3]): ...