Problem of pursuit of a group of coordinated evaders in linear recurrent differential games

被引:0
作者
N. N. Petrov
N. A. Solov’eva
机构
[1] Udmurt State University,
来源
Journal of Computer and Systems Sciences International | 2012年 / 51卷
关键词
System Science International; Differential Game; Fundamental Matrix; Cauchy Formula; Positive Basis;
D O I
暂无
中图分类号
学科分类号
摘要
For a linear nonstationary problem of pursuit of a group of evaders by a group of pursuers under the condition that the fundamental matrix of the homogeneous system is a recurrent function and all the evaders use the same control, sufficient conditions for capturing at least one evader are found.
引用
收藏
页码:770 / 778
页数:8
相关论文
共 15 条
[1]  
Ivanov R. P.(1978)Simple Pursuit on a Compact Set Dokl. Akad. Nauk SSSR 254 1318-1321
[2]  
Chernous’ko F. L.(1976)A problem of evasion from many pursuers J. Appl. Math. Mech. 40 14-24
[3]  
Petrov N. N.(2010)On the Nonstationary Group Pursuit Problem subject to Phase Constraints Mat. Teor. Igr Ee Prilozh. 2 74-83
[4]  
Bannikov A. S.(2010)On the Nonstationary Group Pursuit Problem Tr. Instituta Matematiki I Mekhaniki UrO RAN 16 40-51
[5]  
Petrov N. N.(1983)About the Differential Cops and Robbers Game Differ. Uravn. Ikh Primen. 19 1366-1374
[6]  
Petrov N. N.(1987)On a Problem of Pursuit of a Group of Evaders Differ. Uravn. Ikh Primen. 23 724-726
[7]  
Petrov N. Nikandr.(1994)A Linear Evasion Problem for Interacting Groups of Objects J. Appl. Math. Mech. 58 583-591
[8]  
Petrov N. N.(2001)A Problem of the Pursuit of a Group of Rigidly Connected Evaders J. Comput. Syst. Sci. Int. 40 749-753
[9]  
Prokopenko V. A.(2007)Almost Periodic Processes with Conflict Control with Many Participants J. Comput. Syst. Sci. Int. 46 244-247
[10]  
Chikrii A. A.(1968)On the Controllability of Autonomous Systems Differ. Uravn. Ikh Primen. 4 606-617