References
- Liaw , DC and Abed , EH . 1996 . Active control of compressor stall inception: a bifurcation theoretic approach . Automatica , 32 : 109 – 115 .
- Banaszuk , A , Hauksson , HA and Metrić , I . 1999 . A backstepping controller for a nonlinear partial differential equation model of compression system instabilities . SIAM Journal on Control and Optimization , 37 ( 5 ) : 1503 – 1537 .
- Birnir , B and Hauksson , H . 1999 . A finite dimensional attractor of the Moore–Greitzer PDE model . SIAM Journal of Applied Mathematics , 59 ( 2 ) : 636 – 650 .
- Crandall , M and Rabinowitz , P . 1977 . The Hopf bifurcation theorem in infinite dimensions . Archive for Rational Mechanics and Analysis , 67 : 53 – 72 .
- Crandall , M and Rabinowitz , P . 1980 . “ Mathematical theory of bifurcation ” . In Bifurcation Phenomena in Mathematical Physics and Related Topics , Edited by: Bardos , D and Bessis , D . Dordrecht: Reidel .
- Day , IJ , Greitzer , EM and Cumpsty , NA . 1978 . Prediction of compressor performance in rotating stall . Journal of Engineering for Power , 100 : 1 – 14 .
- Humber , JS and Krener , AJ . 1998 . Dynamics and control of entrained solutions in multi-mode Moore–Greitzer compressor models . International Journal of Control , 71 : 807 – 821 .
- McCaughan , F . 1990 . Bifurcation analysis of axial flow compressor stability . SIAM Journal of Applied Mathematics , 50 : 1232 – 1253 .
- Moore , FK and Greitzer , EM . 1986 . A theory of post-stall transients in axial compression systems: Part I – development of equations . ASME Journal of Engineering for Gas Turbines and Power , 108 : 68 – 76 .
- Pazy , A . 1983 . Semigroup of Linear Operators and Applications to Partial Differential Equations , New York : Springer-Verlag .
- Smoller , J . 1983 . Shock Waves and Reaction-diffusion Equations , New York : Springer-Verlag .
- Xiao , M . 1998 . Stabilization of the full model compression system . Proceedings of the 37th IEEE conference on Decision and Control , : 2575 – 2580 .
- Xiao , M and Başar , T . Proceedings of the IFAC Congress . Beijing. Rotating stall control of MG3 compressor models governed by partial differential equations , pp. 183 – 188 . China
- Xiao , M and Başar , T . 2000 . Analysis and control of multi-mode axial flow compression system models . ASME Journal of Dynamic Systems, Measurement and Control , 122 ( 3 ) : 393 – 401 .
- Xiao , M and Başar , T . 2001 . Center manifold of the viscous Moore–Greitzer PDE model . SIAM Journal of Applied Mathematics , 61 ( 3 ) : 855 – 869 .