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1.
We find the following necessary and sufficient conditions for Q (:=C(I+PC)−1) to
-stabilize the standard linear time-invariant unity feedback system S(P, C) where P has the l.c.f. (Dpl, Npl) and the r.c.f. (Npr, Dpr); and
is a principal ideal domain. (i) Q must have elements in
(ii) (resp. (iii)) Q must factorize in
with Dpr, (resp. Dpl) as a left (resp. right) factor and (iv) (I – QP) must factor in
with Dpr, as a left factor. 相似文献
2.
This paper is concerned with the nonlinear partial difference equation with continuous variables,where a, σi, τi are positive numbers, hi(x, y, u) ε C(R+ × R+ × R, R), uhi(x, y, u) > 0 for u ≠ 0, hi is nondecreasing in u, i = 1, …, m. Some oscillation criteria of this equation are obtained. 相似文献
3.
Tadeusz Banek 《Systems & Control Letters》1988,11(4)
Under some regularity assumptions and the following generalization of the well-known Bene
condition [1]:
, where F(t,z) = g−2(t)∫f(t,z)dz, Ft, Fz, Fzz, are partial derivatives of F, we obtain explicit formulas for the unnormalized conditional density qt(z, x) α Pxt ε dz| ys, 0 st, where diffusion xt on R1 solves x0 = x, dxt = [β(t) + α(t)xt + f(t, xt] dt + g(t) dw1, and observation yt = ∫oth(s)xs ds + ∫ot(s) dw2t, with w = (w1, w2) a two-dimensional Wiener process. 相似文献
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4.
In this paper the quasilinear heat equation with the nonlinear boundary condition is studied. The blow-up rate and existence of a self-similar solution are obtained. It is proved that the rescaled function
v(y,t)=(T−t)1/(2p+α−2)u((T−t)(p−1)/(2p+α−2)y,t),