On the stabilizability of imperfectly known nonlinear delay systems of the neutral type

被引:22
作者
Clarkson, ID [1 ]
Goodall, DP
机构
[1] Def Evaluat Res Agcy, Winfrith Technol Ctr, Dorchester DT2 8XJ, England
[2] Coventry Univ, Control Theory & Applicat Ctr, Coventry CV1 5FB, W Midlands, England
关键词
feedback stabilization; neutral functional differential systems; uncertain systems;
D O I
10.1109/9.895567
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 investigation addresses the problem of stabilizing a class of imperfectly known nonlinear neutral-type time-delay systems. Invoking delay independent stability criteria and a deterministic methodology based on Lyapunov-Krasovskii functionals, a class of stabilizing controls is designed to ensure global uniform asymptotic stability of the zero state for the prescribed class of systems. An application of the results to a specific sub-class is provided with a simulation example included to illustrate the practical applicability.
引用
收藏
页码:2326 / 2331
页数:6
相关论文
共 14 条
[1]  
[Anonymous], 1995, QUALITATIVE THEORY D
[2]   A SEVERAL COMPLEX-VARIABLES APPROACH TO FEEDBACK STABILIZATION OF LINEAR NEUTRAL DELAY-DIFFERENTIAL SYSTEMS [J].
BYRNES, CI ;
SPONG, MW ;
TARN, TJ .
MATHEMATICAL SYSTEMS THEORY, 1984, 17 (02) :97-133
[3]   MEMORYLESS STABILIZATION OF UNCERTAIN DYNAMIC-SYSTEMS WITH TIME-VARYING DELAYED STATES AND CONTROLS [J].
CHOI, HH ;
CHUNG, MJ .
AUTOMATICA, 1995, 31 (09) :1349-1351
[4]  
Clarkson ID, 1998, UKACC INTERNATIONAL CONFERENCE ON CONTROL '98, VOLS I&II, P561, DOI 10.1049/cp:19980290
[5]  
FLEISS M, 1995, P 34 IEEE C DEC CONT, P2046
[6]   Stability criteria for feedback-controlled, imperfectly known, bilinear systems with time-varying delay [J].
Goodall, DP .
MATHEMATICS AND COMPUTERS IN SIMULATION, 1998, 45 (3-4) :279-289
[7]   COMPARISON-THEOREMS OF LIAPUNOV-RAZUMIKHIN TYPE FOR NFDES WITH INFINITE DELAY [J].
HADDOCK, JR ;
RUAN, SG ;
WU, JH ;
XIA, HX .
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1995, 47 (03) :500-526
[8]  
HALE J. K., 2013, Introduction to functional differential equations
[9]   Simple criteria for stability of neutral systems with multiple delays [J].
Hui, GD ;
Hu, GD .
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 1997, 28 (12) :1325-1328
[10]  
KOLMANOSVSKII VB, 1992, APPL THEORY FUNCTION