In this paper,the GH-congruence canonical forms of positive semidefinite and definte inite and definite(need not be self-conjugate)quaternion matrices are given,and a neccessary and sufficientcondition of GH-congruenc...In this paper,the GH-congruence canonical forms of positive semidefinite and definte inite and definite(need not be self-conjugate)quaternion matrices are given,and a neccessary and sufficientcondition of GH-congruence for two positive semidifinite(definite)quaternion matrices isgiven also.Then simultaneous GH-congruence reduced forms for two self-conjugate matri-ces and some result about the simultaneous GH-congruence diagonalization of quaternionmatrices are obtained.展开更多
Adaptive dwell scheduling is essential to achieve full performance for a simultaneous multi-beam radar system.The dwell scheduling for such a radar system considering desired execution time criterion is studied in thi...Adaptive dwell scheduling is essential to achieve full performance for a simultaneous multi-beam radar system.The dwell scheduling for such a radar system considering desired execution time criterion is studied in this paper.The primary objective of this model is to achieve maximum scheduling gain and minimum scheduling cost while adhering to not only time,aperture,and frequency constraints,but also electromagnetic compatibility(EMC)constraint.The dwell scheduling algorithm is proposed to solve the above optimization problem,where several separation points are set on the timeline,so that each separator divides the scheduling interval into two sides.For the two sides,the dual-side time pointers are introduced,which move from the separator to both ends of the scheduling interval.The dwell tasks are analyzed in sequence at each analysis point based on their two-level synthetical priority.These tasks are then executed simultaneously by sharing the whole aperture under various constraints to accomplish multiple tasks concurrently.The above process is respectively conducted at each separator,and the final scheduling result is the one with the minimal cost among all.Simulation results prove that the proposed algorithm can achieve real-time dwell scheduling and outperform the existing algorithms in terms of scheduling performance.展开更多
文摘In this paper,the GH-congruence canonical forms of positive semidefinite and definte inite and definite(need not be self-conjugate)quaternion matrices are given,and a neccessary and sufficientcondition of GH-congruence for two positive semidifinite(definite)quaternion matrices isgiven also.Then simultaneous GH-congruence reduced forms for two self-conjugate matri-ces and some result about the simultaneous GH-congruence diagonalization of quaternionmatrices are obtained.
基金supported in part by the National Natural Science Foundation of China(Nos.61771095 and 62031007).
文摘Adaptive dwell scheduling is essential to achieve full performance for a simultaneous multi-beam radar system.The dwell scheduling for such a radar system considering desired execution time criterion is studied in this paper.The primary objective of this model is to achieve maximum scheduling gain and minimum scheduling cost while adhering to not only time,aperture,and frequency constraints,but also electromagnetic compatibility(EMC)constraint.The dwell scheduling algorithm is proposed to solve the above optimization problem,where several separation points are set on the timeline,so that each separator divides the scheduling interval into two sides.For the two sides,the dual-side time pointers are introduced,which move from the separator to both ends of the scheduling interval.The dwell tasks are analyzed in sequence at each analysis point based on their two-level synthetical priority.These tasks are then executed simultaneously by sharing the whole aperture under various constraints to accomplish multiple tasks concurrently.The above process is respectively conducted at each separator,and the final scheduling result is the one with the minimal cost among all.Simulation results prove that the proposed algorithm can achieve real-time dwell scheduling and outperform the existing algorithms in terms of scheduling performance.
