NDLI: Regulation of linear systems with fixed noncommensurate point delays

Content Provider	IEEE Xplore Digital Library
Author	Emre, E. Knowles, G.
Copyright Year	1984
Description	Author affiliation: Texas Tech University, Lubbock, TX (Emre, E.; Knowles, G.)
Abstract	The first solution is given to the open problem of stabilizability and detectability (necessary sufficient conditions for internal stabilization by feedback) of retarded and a large class of linear neutral delay-differential systems with several fixed, noncommensurate point delays, using casual compensators (observers and state-feedback or dynamic output feedback) which are also the same type of neutral or retarded delay differential systems with fixed, point delays only. Our results are rank conditions on the system matrices [zI-F:G] and [zI-FT:HT] evaluated at points in the complex plane and are the weakest possible generally applicable sufficient such rank conditions for stabilization of neutral systems in the light of what is known on the stabilizability of such systems. These conditions are necessary for most practical purposes. The class of systems we consider include all retarded delay-differential systems with noncommensurate, fixed, point delays. In the case of retarded systems, these rank conditions are necessary and sufficient conditions for stabilization via compensators which are causal retarded delay-differential systems with fixed, point delays only.
Starting Page	859
Ending Page	863
File Size	412154
Page Count	5
File Format	PDF
DOI	10.1109/CDC.1984.272131
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1984-12-12
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Linear systems Delay systems Sufficient conditions State feedback Control systems Computer science Delay lines Linear feedback control systems Differential equations Output feedback
Content Type	Text
Resource Type	Article

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