Invariant zeros of SISO infinite-dimensional systems

References

• Cheng , A and Morris , KA . 2003 . Accurate Approximation of Invariant Zeros for a Class of SISO Abstract Boundary Control Systems . 42nd IEEE Conference on Decision and Control, Vol. 2 . 2003 . pp. 1315 – 1320 .
   Google Scholar
• Clark , RL . 1997 . Accounting for Out-of-bandwidth Modes in the Assumed Modes Approach: Implications on Colocated Output Feedback Control . ASME Journal of Dynamic Systems Measurement and Control , 119 : 390 – 395 .
   Web of Science ®Google Scholar
• Curtain , RF . 1986 . Invariance Concepts in Infinite Dimensions . SIAM Journal on Control and Optimization , 24 : 1009 – 1031 .
   Web of Science ®Google Scholar
• Curtain , RF and Zwart , H . 1995 . An Introduction to Infinite-Dimensional Linear Systems Theory , New York : Springer-Verlag .
   Google Scholar
• Doyle , JC , Francis , BA and Tannenbaum , AR . 1992 . Feedback Control Theory , New York : MacMillan .
   Google Scholar
• J.R. Grad, and Morris, K.A. (2003), ‘Calculation of Achievable Broadband Noise Reduction using Approximations’, Engineering applications and computational algorithms (Guelph, ON, 2003), Dyn. Contin. Discrete Impuls. Syst. Ser. B Appl. Algor., Suppl. 3rd International DCSIS Conference on Engineering Applications and Computational Algorithms, pp. 438–443
   Google Scholar
• Jacob , B , Morris , KA and Trunk , C . 2007 . Minimum-phase Behaviour of Damped Second-order Systems with Position Measurements . IEEE Transactions on Automatic Control , 52 : 1654 – 1665 .
   Google Scholar
• Lindner , DK , Reichard , KM and Tarkenton , LM . 1993 . Zeros of Modal Models of Flexible Structures . IEEE Transactions on Automatic Control , 38 : 1384 – 1388 .
   Google Scholar
• Morris , KA . 2001 . Introduction to Feedback Control , Burlington, MA : Academic Press .
   Google Scholar
• Morris , KA and Rebarber , R . 2007 . Feedback Invariance of SISO Infinite-Dimensional Systems . Mathematics of Control, Signals and Systems , 19 : 313 – 335 .
   Web of Science ®Google Scholar
• Neubrander , F . 1988 . Integrated Semigroups and their Applications to the Abstract Cauchy Problem . Pacific Journal of Mathematics , 135 : 111 – 155 .
   Web of Science ®Google Scholar
• Pandolfi , L . 1986 . Disturbance Decoupling and Invariant Subspaces for Delay Systems . Applied Mathematics and Optimization , 14 : 55 – 72 .
   Web of Science ®Google Scholar
• Pohjolainen , S . 1981 . Computation of Transmission Zeros for Distributed Parameter Systems . International Journal of Control , 33 : 199 – 212 .
   Web of Science ®Google Scholar
• Weiss , G . 1994 . Transfer Functions of Regular Linear Systems. Part I . Transactions of the AMS , 342 : 827 – 854 .
   Web of Science ®Google Scholar
• Wonham , WM . 1985 . Linear Multivariable Control: A Geometric Approach , New York : Springer-Verlag .
   Google Scholar
• Zwart , H . 1989 . “ Geometric Theory for Infinite Dimensional Systems ” . In (Lecture Notes in Control and Information Sciences, Vol. 115), , Vol. 115 , Berlin : Springer Verlag .
   Google Scholar
• Zwart , H . 1990 . ‘On the Solution of the DDP in Infinite-Dimensional Systems’ Signal Processing, Scattering and Operator Theory and Numerical Methods, Progress Systems and Control Theory, Vol. 5, Boston: Birkhauser, pp. 363–372
   Google Scholar
• Zwart , H . 1999 . “ Where are the Zeros Located? ” . In Open Problems in Mathematical Systems and Control Theory , Edited by: Blondel , VD , Sontag , ED , Vidyasagar , M and Willems (Communications on Control Engineering Series) , JC . 285 – 288 . London : Springer .
   Google Scholar