We study the smoothing method for the solution of generalized semi-infinite optimization problems from (O. Stein, G. Still: Solving semi-infinite optimization problems with interior point techniques, SIAM J. Control Optim., 42(2003), pp. 769–788). It is shown that Karush-Kuhn-Tucker points of the smoothed problems do not necessarily converge to a Karush-Kuhn-Tucker point of the original problem...

Smart home is composed of several controllers with different plants in control. If each controller works independently, without considering the mutual effect of the others in the control process, the whole system could definitely not converge to an optimum desired status and may not ever reach the demanded condition. The function of different controller system may has conflict In some condition...

Let X and Y be two closed subspaces of a Hilbert space. If we send a point back and forth between them by orthogonal projections, the iterates converge to the projection of the point onto the intersection of X and Y by a theorem of von Neumann. Any sequence of orthoprojections of a point in a Hilbert space on a finite family of closed subspaces converges weakly, according to Amemiya and Ando. T...

Autonomous underwater vehicle (AUV) path planning in complex marine environments meets many chanllenges, such as influencing factors, models and the performance of optimization algorithm to be improved. To find a with minimum cost actual environmental threats, navigation height changes energy consumption AUV, an improved sparrow search is designed under impact time-varying characteristics curre...

Eigenvectors and eigenvalues of discrete graph Laplacians are often used for manifold learning and nonlinear dimensionality reduction. It was previously proved by Belkin and Niyogi [3] that the eigenvectors and eigenvalues of the graph Laplacian converge to the eigenfunctions and eigenvalues of the Laplace-Beltrami operator of the manifold in the limit of infinitely many data points sampled ind...

The impact of international trade on domestic growth is revisited in a model with dynamic externalities and static increasing returns to scale. The model embraces features of both classical and new growth and trade theories, allows for learning by doing, and integrates several strains of thought in a general equilibrium with two regions. In contrast to previous work, the model shows that intern...

Recent advances in wireless communication and solid-state circuits together with the enormous demands of sensing ability have given rise to a new enabling technology, integrated (radar) (ISAC). ISAC captures two main advantages over dedicated functionalities: integration gain efficiently utilize congested wireless/hardware resources, even more interesting, coordination balance dual-functional p...