A method for estimating upper and lower bounds of eigenvalues of closed-loop systems with uncertain parameters

✍ Scribed by S.H Chen; K.J Guo; Y.D Chen

• Publisher: Elsevier Science
• Year: 2004
• Tongue: English
• Weight: 242 KB
• Volume: 276
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1016/j.jsv.2003.08.011

✦ Synopsis

Using the convex model theory, the vibration control problem of structures with uncertain parameters is discussed, which is approximated by a deterministic one. A method for estimating the upper and lower bounds of eigenvalues of the closed-loop systems is presented by combining the matrix perturbation and optimization. The present method is applied to a vibration system to illustrate the application. The numerical results show that the present method is effective.