共查询到20条相似文献,搜索用时 109 毫秒
1.
2.
3.
4.
5.
Dong Zhang Zhenwei Guo Gang Wang Tongsong Jiang 《Mathematical Methods in the Applied Sciences》2020,43(6):3513-3523
Due to the rise of commutative quaternion in Hopfield neural networks, digital signal, and image processing, one encounters the approximate solution problems of the commutative quaternion linear equations and . This paper, by means of real representation and complex representation of commutative quaternion matrices, introduces concepts of norms of commutative quaternion matrices and derives two algebraic techniques for finding solutions of least squares problems in commutative quaternionic theory. 相似文献
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
Zvonko Iljazović 《Mathematical Logic Quarterly》2020,66(1):51-64
We consider topological pairs , , which have computable type, which means that they have the following property: if X is a computable topological space and a topological imbedding such that and are semicomputable sets in X, then is a computable set in X. It is known, e.g., that has computable type if M is a compact manifold with boundary. In this paper we examine topological spaces called graphs and we show that we can in a natural way associate to each graph G a discrete subspace E so that has computable type. Furthermore, we use this result to conclude that certain noncompact semicomputable graphs in computable metric spaces are computable. 相似文献
17.
Marianna A. Shubov 《Mathematische Nachrichten》2020,293(3):585-610
Three control problems for the system of two coupled differential equations governing the dynamics of an energy harvesting model are studied. The system consists of the equation of an Euler–Bernoulli beam model and the equation representing the Kirchhoff's electric circuit law. Both equations contain coupling terms representing the inverse and direct piezoelectric effects. The system is reformulated as a single evolution equation in the state space of 3-component functions. The control is introduced as a separable forcing term on the right-hand side of the operator equation. The first control problem deals with an explicit construction of that steers an initial state to zero on a time interval [0, T]. The second control problem deals with the construction of such that the voltage output is equal to some given function (with being given as well). The third control problem deals with an explicit construction of both the force profile, , and the control, , which generate the desired voltage output . Interpolation theory in the Hardy space of analytic functions is used in the solution of the second and third problems. 相似文献
18.
19.