Sufficient stability conditions and stabilizing control design for delay differential systems of a special type
作者： N. O. Sedova
DOI: 10.1134/S1990478912010127
关键词:
摘要: This paper introduces some sufficient conditions for uniform and asymptotic global stability as well the algorithms design of stabilizing control special systems like cascaded (triangular) integrator chains. The results are presented in terms semidefinite Lyapunov functions, they hold nonlinear nonautonomous systems. Application proposed is illustrated by classical examples.
springer.com
sci-hub.se 参考文章(17)
Carlos Aguilar Ibañez, O. Gutiérrez Frias, Controlling the inverted pendulum by means of a nested saturation function Nonlinear Dynamics. ,vol. 53, pp. 273- 280 ,(2008) , 10.1007/S11071-007-9224-3
Claus Müller, Horst Niemeyer, Greensche Tensoren und asymptotische Gesetze der elektromagnetischen Hohlraumschwingungen Archive for Rational Mechanics and Analysis. ,vol. 7, pp. 305- 348 ,(1961) , 10.1007/BF00250767
N. O. Sedova, Degenerate Functions in the Analysis of Asymptotic Stability of Solutions of Functional Differential Equations Mathematical Notes. ,vol. 78, pp. 427- 431 ,(2005) , 10.1007/S11006-005-0141-9
Elena Panteley, Antonio Loria, On global uniform asymptotic stability of nonlinear time-varying systems in cascade Systems & Control Letters. ,vol. 33, pp. 131- 138 ,(1998) , 10.1016/S0167-6911(97)00119-9
Saul Jimenez, Wen Yu, Stable synchronization control for two ball and bearn systerns international conference on electrical and electronics engineering. pp. 290- 293 ,(2007) , 10.1109/ICEEE.2007.4345025
A. Iggidr, B. Kalitine, R. Outbib, Semidefinite Lyapunov functions stability and stabilization Mathematics of Control, Signals, and Systems. ,vol. 9, pp. 95- 106 ,(1996) , 10.1007/BF01211748
Natalya Sedova, On employment of semidefinite functions in stability of delayed equations Journal of Mathematical Analysis and Applications. ,vol. 281, pp. 307- 319 ,(2003) , 10.1016/S0022-247X(03)00101-X
Jack K. Hale, Theory of Functional Differential Equations ,(1977)
Carlos Aguilar Ibañez, O. Gutiérrez Frias, M. Suárez Castañón, Lyapunov-Based Controller for the Inverted Pendulum Cart System Nonlinear Dynamics. ,vol. 40, pp. 367- 374 ,(2005) , 10.1007/S11071-005-7290-Y
W. Michiels, R. Sepulchre, D. Roose, L. Moreau, A perturbation approach to the stabilization of nonlinear cascade systems with time-delay conference on decision and control. ,vol. 2, pp. 1898- 1903 ,(2002) , 10.1109/CDC.2002.1184803