Asymptotic Lyapunov stability with probability one of quasi linear systems subject to multi-time-delayed feedback control and wide-band parametric random excitation

• Published in: Archive of applied mechanics (1991) Vol. 79; no. 11; pp. 1051 - 1061
• Main Authors: Li, Xue Ping, Liu, Zhong Hua, Huan, Rong Hua, Zhu, Wei Qiu
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer-Verlag 01.11.2009
• Subjects: Asymptotic properties; Classical Mechanics; Engineering; Feedback control; Linear systems; Lyapunov exponents; Mathematical analysis; Original; Stability; Stochasticity; Theoretical and Applied Mechanics; Time delay; Stochastic averaging; Wide-band random excitation; Multi-time-delayed feedback; Lyapunov exponent

The asymptotic Lyapunov stability with probability one of multi-degree-of-freedom quasi linear systems subject to multi-time-delayed feedback control and multiplicative (parametric) excitation of wide-band random process is studied. First, the multi-time-delayed feedback control forces are expressed...