Kotta, U., Kotta, P., Tonso, M. and Zinober, A.S.I. (2009) On classical state space realisability of quadratic input-output differential equations. International Journal of Control, 82 (7). pp. 1212-1218. ISSN 0020-7179
This article studies the realisability property of continuous-time quadratic input-output (i/o) equations in the classical state space form. Constraints on the parameters of the quadratic i/o model are suggested that lead to realisable models. The complete list of second- and third-order realisable i/o quadratic models is given and two subclasses of the n-th order realisable i/o quadratic systems are suggested. Our conditions rely basically upon the property that certain combinations of coefficients of the i/o equations are zero or not zero. We provide explicit state equations for realisable second-order quadratic i/o equations, and for one realisable subclass of quadratic i/o equations of arbitrary order.
|Institution:||The University of Sheffield|
|Academic Units:||The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield)|
|Depositing User:||Mrs Megan Hobbs|
|Date Deposited:||09 Mar 2010 15:29|
|Last Modified:||16 Nov 2015 11:48|
|Publisher:||Taylor & Francis|