On zero-order hold equivalents of distributed parameter systems
- 1 April 1992
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 37 (4) , 488-491
- https://doi.org/10.1109/9.126582
Abstract
Various connections are established between linear time-invariant distributed parameter continuous-time systems and their zero-order hold discrete-time equivalents. These connections are established in both the time and frequency domains. The time-domain connections relate various growth constants and norm bounds of the continuous-time systems considered to those of their zero-order hold discrete-time equivalents. The frequency-domain connection provides an upper bound on the difference between the frequency response of a continuous-time system and that of its zero-order hold discrete-time equivalent.Keywords
This publication has 7 references indexed in Scilit:
- Control-Oriented Modeling of Distributed Parameter SystemsJournal of Dynamic Systems, Measurement, and Control, 1992
- Ill-posed distributed parameter systems: a control viewpointIEEE Transactions on Automatic Control, 1991
- Linear state-space systems in infinite-dimensional space: the role and characterization of joint stabilizability/detectabilityIEEE Transactions on Automatic Control, 1988
- Discrete time convolution control systemsInternational Journal of Control, 1982
- An algebra of transfer functions for distributed linear time-invariant systemsIEEE Transactions on Circuits and Systems, 1978
- The multivariable servomechanism problem from the input-output viewpointIEEE Transactions on Automatic Control, 1977
- Feedback Systems: Input-Output PropertiesJournal of Dynamic Systems, Measurement, and Control, 1975