共查询到20条相似文献,搜索用时 250 毫秒
1.
基于微分同胚的非线性系统解耦线性化 总被引:1,自引:0,他引:1
利用现代微分几何方法研究了非线性系统,通过构造适当的微分同胚,给出了非线性系统解耦线性化的充分必要条件。最后,用数值例子说明了本文所得的结论。 相似文献
2.
该文应用双Bell多项式,系统研究了一类广义浅水波KdV方程的可积性.先构造出双线性表达式、B?klund变换,再通过B?klund变换线性化得到孤子解与Lax对.最后通过级数展开式代入得到无穷守恒律,从而证明此方程具有可积性. 相似文献
3.
时变仿射非线性系统的动态补偿线性化 总被引:2,自引:0,他引:2
张仁忠 《纯粹数学与应用数学》1998,14(2):38-42
用微分几何方法讨论了时变仿射非线性系统的动态补偿线性化问题,给出了系统动态的反馈线性化的条件,它是状态反馈线性化的推广。 相似文献
4.
本文基于Bell多项式研究了一类(3+1)维变系数广义浅水波方程的可积性问题.首先,引入变量变换,借助Bell多项式与Hirota双线性算子之间的关系,导出方程的Hirota双线性形式,求出方程的N-孤子解,并对单孤子、双孤子和三孤子在不同情形下的传播进行图像模拟;其次,基于双线性方程,结合Bell多项式获得方程的双线性B?cklund变换;然后,通过Hopf-Cole变换,将双线性Backlund变换线性化,求出方程的Lax对;最后,利用级数展开法得到方程的无穷守恒律.从而证明该方程具有可积性. 相似文献
5.
凝析气井经过压裂产生垂直裂缝,流体在地层与裂缝中往往形成双线性流.根据凝析气形成的双线性流渗流特点,通过凝析油气不稳定渗流的基本微分方程,经过线性化处理,考虑裂缝传导能力和表皮效应,应用拉普拉斯变换,建立了垂直裂缝气藏中凝析油气渗流的双线性流的新模型,求出了模型的解.并绘出了凝析气藏试井理论曲线,通过试井测试资料解释,可计算凝析气井的地层渗透率,气藏压力,裂缝传导能力和裂缝表皮系数等相应的地层参数,可为气藏开发提供动态参数和理论依据. 相似文献
6.
线性奇异系统的解耦问题 总被引:4,自引:0,他引:4
本文讨论在状态反馈下的线性奇异系统的解耦问题,利用奇异系统的受限等价变换,给出了输出,输入维数相同的方线性奇异系统解耦问题有解的充分必要条件。 相似文献
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8.
本文用微分几何方法讨论了一类时变仿射非线性系统(即n=m+1)的动态状态反馈线性化与系统的线性近似的关系,得出了系统可动态状态反馈线性化的条件。 相似文献
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10.
用精确线性化控制Lorenz混沌 总被引:12,自引:1,他引:11
本文采用状态空间精确线性化方法研究Rayleigh数可控的Lorenz系统中混沌的控制问题·在证明系统可以精确线性化的基础上,借助非线性反馈构造出变换关系使原系统转化为线性可控系统而实现控制,并给出了控制算例 相似文献
11.
V. A. Zaitsev 《Differential Equations》2012,48(1):120-135
We study the consistency property of a linear time-invariant control system with incomplete feedback and of a bilinear time-invariant
control system in connection with the pole assignment problem. We show that consistency is a sufficient and, in some cases,
necessary condition for the arbitrary pole assignability of systems with coefficients of a special form. 相似文献
12.
Jin Quanqin 《代数通讯》2013,41(9):4131-4135
In this note, we give a necessary and sufficient condition for a real irreducible representation of a real simple Lie algebra to admit an invariant bilinear form. We also determine when the invariant bilinear form is symmetric or skew-symmetric. 相似文献
13.
《Quaestiones Mathematicae》2013,36(1-3):211-226
ABSTRACT A generalized rank condition is used to deduce necessary and sufficient conditions for the reachability and observability of a system in a category. A duality principle between reachability and observability is established. These results generalize those known previously for bilinear and linear systems over rings. 相似文献
14.
V. A. Zaitsev 《Differential Equations》2012,48(6):857-866
We obtain sufficient conditions for the consistency of a bilinear time-invariant control system. For systems with coefficients
of special form, we prove the equivalence of the consistency of the bilinear system and the arbitrary pole assignability. 相似文献
15.
Richard Datko 《Journal of Mathematical Analysis and Applications》1977,58(3):510-526
In this paper we give a necessary and sufficient condition for a general class of neutral differential-difference equations to be exponentially stable. This condition is expressed in terms of certain bilinear functionals which are the equivalent of quadratic Liapunov functions for finite-dimensional systems. 相似文献
16.
《Applied Mathematics Letters》2003,16(6):847-851
Necessary and sufficient condition are given for state feedback stabilization of distributed control bilinear systems. The results are based on the theory of linear and nonlinear contraction semigroups. 相似文献
17.
本研究了一类带有马尔可夫姚跃参数的双线性离散随机系统的稳定性,获得了该系统的稳定性和能稳定性的充分条件。 相似文献
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19.
M. Bordemann has studied non-associative algebras with nondegenerate associative bilinear forms. In this paper, we focus on
pseudo-Riemannian bilinear forms and study pseudo-Riemannian Leibniz algebras, i.e., Leibniz algebras with pseudo-Riemannian
non-degenerate symmetric bilinear forms. We give the notion and some properties of T*-extensions of Leibniz algebras. In addition, we introduce the definition of equivalence and isometrical equivalence for
two T*-extensions of a Leibniz algebra, and give a sufficient and necessary condition for the equivalence and isometrical equivalence. 相似文献
20.
This paper deals with asymptotical
stability in probability in the large for stochastic bilinear
systems. Some new criteria for asymptotical stability of such
systems have been established in the inequality of mathematic
expectation. A sufficient condition for bilinear stochastic jump
systems to be asymptotically stable in probability in the large in
Markovian switching laws is derived in a couple of Riccati-like
inequalities by introducing a nonlinear state feedback controller.
An illustrative example shows the effectiveness of the method. 相似文献