Generic classification of time-optimal planar stabilizing feedbacks

被引:30
作者
Bressan, A [1 ]
Piccoli, B [1 ]
机构
[1] SISSA, ISAS, I-34014 Trieste, Italy
关键词
time-optimal control; two-dimensional system; regular synthesis;
D O I
10.1137/S0363012995291117
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Consider the problem of stabilization at the origin in minimum time for a planar control system affine with respect to the control. For a family of generic vector fields, a topological equivalence relation on the corresponding time-optimal feedback synthesis was introduced in a previous paper [Dynamics of Continuous, Discrete and Impulsive Systems, 3 (1997), pp. 335-371]. The set of equivalence classes can be put in a one-to-one correspondence with a discrete family of graphs. This provides a classification of the global structure of generic time-optimal stabilizing feedbacks in the plane, analogous to the classification of smooth dynamical systems developed by Peixoto.
引用
收藏
页码:12 / 32
页数:21
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