Transitory Behavior of Uncertain Systems

作者: Anthony J. Pritchard

DOI: 10.1007/978-1-4612-0179-3_1

关键词:

摘要: The notion of a transitory excursion is introduced as measure the distance stable semigroup (generated by matrix A) moves away from origin. Various estimates for are obtained via A normal matrices properties spectral value sets and time-varying Lyapunov equations. It shown how can be improved state feedback. Finally radius uncertain systems obtained.

参考文章(15)
L. N. Trefethen, Approximation theory and numerical linear algebra Springer US. pp. 336- 360 ,(1990) , 10.1007/978-1-4899-3442-0_30
Kathryn M. Butler, Brian F. Farrell, Three‐dimensional optimal perturbations in viscous shear flow Physics of Fluids. ,vol. 4, pp. 1637- 1650 ,(1992) , 10.1063/1.858386
M. G. Cox, J. C. Mason, Algorithms for Approximation ,(1987)
Satish C. Reddy, Peter J. Schmid, Dan S. Henningson, Pseudospectra of the Orr-Sommerfeld operator Siam Journal on Applied Mathematics. ,vol. 53, pp. 15- 47 ,(1993) , 10.1137/0153002
Elias Wegert, Lloyd N. Trefethen, From the Buffon Needle Problem to the Kreiss Matrix Theorem American Mathematical Monthly. ,vol. 101, pp. 132- 139 ,(1994) , 10.1080/00029890.1994.11996919
Satish C. Reddy, Dan S. Henningson, Energy growth in viscous channel flows Journal of Fluid Mechanics. ,vol. 252, pp. 209- 238 ,(1993) , 10.1017/S0022112093003738
L. N. Trefethen, A. E. Trefethen, S. C. Reddy, T. A. Driscoll, Hydrodynamic Stability Without Eigenvalues Science. ,vol. 261, pp. 578- 584 ,(1993) , 10.1126/SCIENCE.261.5121.578
Lloyd N. Trefethen, Pseudospectra of Linear Operators SIAM Review. ,vol. 39, pp. 383- 406 ,(1997) , 10.1137/S0036144595295284
D. Hinrichsen, B. Kelb, Spectral value sets: a graphical tool for robustness analysis Systems & Control Letters. ,vol. 21, pp. 127- 136 ,(1993) , 10.1016/0167-6911(93)90115-M