References
- Ackermann , J , Blee , P , Bünte , T , Güvenc , L , Kaesbauer , D , Kordt , M , Muhler , M and Odenthal , D . 2002 . Robust Control. The Parameter Space Approach , London : Springer .
- Ahlfors , LV . 1979 . Complex Analysis, , 3rd , New York : McGraw-Hill Book Company .
- Al-Hammouri , AT , Liberatore , V , Branicky , MS and Phillips , SM . 2006 . Complete Stability Region Characterisation for PI-AQM . ACM SIGBED Review , 3 : 1 – 6 .
- Astrom , KJ and Hagglund , T . PID Controllers: Theory, Design and Tuning . Research Triangle Park, North Carolina: Instrument Society of America ,
- Bhattacharyya , SP , Chapellat , H and Keel , LH . 1995 . Robust Control. The Parametric Approach , Upper Saddle River : Prentice Hall .
- Hale , JK and Verduyn-Lunel , SM . 1993 . Introduction to Functional Differential Equations, Applied Mathematics Science , Vol. 99 , New York : Springer-Verlag .
- Hollot , CV , Misra , V , Towsley , D and Gong , WB . 2002 . Analysis and Design of Controllers for AQM Routers Supporting TCP Flows . IEEE Transactions on Automatic Control , 47 : 945 – 946 .
- Keel , LH and Bhattacharyya , SP . 1997 . Robust, Fragile or Optimal? . IEEE Transactions on Automatic Control , 42 : 1098 – 1105 .
- Kharitonov , V and Hinrichsen , D . 2004 . Exponential Estimates for Time-delay Systems . Systems & Control Letters , 53 : 395 – 405 .
- Kharitonov , V and Plichke , E . 2006 . Lyapunov Matrices for Time-delay Systems . Systems & Control Letters , 55 : 697 – 706 .
- Mäkilä , PM , Keel , LH and Bhattacharyya , SP . 1998 . Comments on Robust Fragile or Optimal? . and Author's reply, IEEE Transactions on Automatic Control , 43 : 1265 – 1268 .
- Melchor-Aguilar , D and Niculescu , S-I . 2007 . Estimates of the Attraction Region for a Class of Non-linear Time-delay Systems . IMA Journal of Mathematical and Control Information , 24 : 523 – 550 .
- Melchor-Aguilar , D . 2007 . “ On the Asymptotic Stability of Proportional-integral AQM Controllers Supporting TCP ” . In Proceedings of the 7th IFAC Workshop on Time-Delay Systems , 2845 – 2850 . Nantes : France .
- Melchor-Aguilar , D and Castillo-Torres , V . 2007 . Stability Analysis of Proportional-integral AQM Controllers Supporting TCP Flows . Revista Computación y Systemas , 10 : 401 – 414 .
- Michiels , W , Melchor-Aguilar , D and Niculescu , S-I . 2006 . Stability Analysis of Some Classes of TCP/AQM Networks . International Journal of Control , 79 : 1136 – 1144 .
- Mori , T , Fukuma , N and Kuwahara , M . 1982 . On an Estimate of the Decay Rate for Stable Linear Delay Systems . International Journal of Control , 36 : 95 – 97 .
- Neimark , J . 1949 . D-subdivisions and Spaces of Quasi-polynomials . Prikladnaya Matematika i Mekhanika , 13 : 349 – 380 .
- Niculescu , S-I . 1998 . Memoryless Control with an α-stability Constraint for Time-delay Systems: An LMI Approach . IEEE Transactions on Automatic Control , 43 : 739 – 743 .
- Niculescu , S-I . June 2008 . “ Delay Effects on Stability of Interconnected Systems. A Control Perspective ” . In Proceedings of the 16th IEEE Mediterranean Conference on Control and Automation (MED'08) , June , 1320 – 1329 . Ajaccio, Corse : France .
- Quet , P-F and Özbay , H . 2004 . On the Design of AQM Supporting TCP Flows using Robust Control Theory . IEEE Transactions on Automatic Control , 49 : 1031 – 1036 .
- Silva , GJ , Datta , A and Bhattacharyya , SP . 2005 . PID Controllers for Time-delay Systems , Boston : Birkhäuser .
- Üstebay , D and Özbay , H . 2007 . “ Switching Resilient PI Controllers for Active Queue Management of TCP Flows ” . In Proceedings of the 2007 IEEE International Conference on Networking, Sensing and Control , 175 – 180 . London : UK .