Four Algorithms for Boundary Control with Breaking in Space and Time  

作　　者：Vladimir Arabadzhi 

机构地区：[1]Division of Geophysical Research, Institute of Applied Physics, Nizhny Novgorod, Russian

出　　处：《Journal of Applied Mathematics and Physics》2019年第11期2891-2901,共11页应用数学与应用物理（英文）

摘　　要：Typically, active control systems either have a priori complete information about the boundary-value problem and damped waves before switching on, or get it during the measurement process or accumulate and update information online (identification process in adaptive systems). In this case, the boundary problem is completely imprinted in the information arrays of the control system. However, very often complete information about a boundary-value problem is not available in principle or this info is changing in time faster than the process of its accumulation. The article considers examples of boundary control algorithms based almost without any information. The algorithms presented in the article cannot be obtained within the framework of the harmonic representation of the problem by complex amplitudes. And these algorithms carry out fast control in microstructured boundary problems. It is shown that in some cases it is possible to find simple solutions if we remove restrictions: 1) on the spatio-temporal resolution of controlling elements of a boundary-value problem;2) on the high-frequency radiation of the controlled boundary.Typically, active control systems either have a priori complete information about the boundary-value problem and damped waves before switching on, or get it during the measurement process or accumulate and update information online (identification process in adaptive systems). In this case, the boundary problem is completely imprinted in the information arrays of the control system. However, very often complete information about a boundary-value problem is not available in principle or this info is changing in time faster than the process of its accumulation. The article considers examples of boundary control algorithms based almost without any information. The algorithms presented in the article cannot be obtained within the framework of the harmonic representation of the problem by complex amplitudes. And these algorithms carry out fast control in microstructured boundary problems. It is shown that in some cases it is possible to find simple solutions if we remove restrictions: 1) on the spatio-temporal resolution of controlling elements of a boundary-value problem;2) on the high-frequency radiation of the controlled boundary.

关 键 词：INCIDENT Low FREQUENCY Wave High FREQUENCY Technological Radiation Fast Control in Microstructured Boundary Problems Binary BREAKER Breaker-Inverter Length of Damping SPINNING Acoustic BLADES Gas Stream SEICHE Waves 

分 类 号：O17[理学—数学]