INPUT TO STATE STABILIZABILITY FOR PARAMETRIZED FAMILIES OF SYSTEMS

被引:45
作者
LIN, YD [1 ]
SONTAG, ED [1 ]
WANG, Y [1 ]
机构
[1] RUTGERS STATE UNIV,DEPT MATH,NEW BRUNSWICK,NJ 08903
关键词
NONLINEAR STABILITY; ROBUST CONTROL; STABILIZATION WITH RESPECT TO SETS; BOUNDED-INPUT BOUNDED-STATE; LYAPUNOV FUNCTION TECHNIQUES;
D O I
10.1002/rnc.4590050304
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper studies various stability issues for parametrized families of systems, including problems of stabilization with respect to sets. The study of such families is motivated by robust control applications. A Lyapunov-theoretic necessary and sufficient characterization is obtained for a natural notion of robust uniform set stability; this characterization allows replacing ad hoc conditions found in the literature by more conceptual stability notions. We then use these techniques to establish a result linking state-space stability to 'input to state' (bounded-input bounded-state) stability. In addition, the preservation of stabilizability under certain types of cascade interconnections is analysed.
引用
收藏
页码:187 / 205
页数:19
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