A COMPLETE CHARACTERIZATION OF REACHABLE SETS FOR CONSTRAINED LINEAR TIME-VARYING SYSTEMS

被引:5
作者
LASSERRE, JB
机构
[1] UNIV CALIF BERKELEY,DEPT ELECT ENGN & COMP SCI,BERKELEY,CA 94720
[2] UNIV CALIF BERKELEY,ELECTR RES LAB,BERKELEY,CA 94720
关键词
CONTROL SYSTEMS; LINEAR - MATHEMATICAL TECHNIQUES - Set Theory - SYSTEMS SCIENCE AND CYBERNETICS - Constraint Theory;
D O I
10.1109/TAC.1987.1104715
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Linear time-varying systems with linear constraints on both control and state variables are considered. The reachable set is a convex polyhedron that is completely characterized in terms of its boundary hyperplanes. An illustrative example (the double integrator) is presented.
引用
收藏
页码:836 / 838
页数:3
相关论文
共 10 条
[1]  
BARMISH BR, 1979, IEEE T AUTOMAT CONTR, V23
[2]  
BERTSEKAS DP, 1971, AUTOMATICA, V7
[3]  
GUTMAN OL, 1986, IEEE T AUTOMAT CONTR, V31
[4]  
GUTMAN OL, UNPUB IEEE T AUTOMAT
[5]  
HAMZA MH, 1971, IEEE T AUTOMAT CONTR, V16
[6]  
LASSERRE JB, 1986, J OPTIMIZ THEORY APP, V49
[7]  
LIN JN, 1970, IEEE T AUTOMAT CONTR, V15
[8]  
SIMONNARD M, 1972, PROGRAMMATION LINEAI
[9]  
VANTIL RP, 1986, INT J CONTR, V43
[10]  
WING J, 1963, IEEE T AUTOMAT CONTR, V8