NDLI: Exact null controllability of infinite dimensional linear systems via bounded control functions

Content Provider	IEEE Xplore Digital Library
Author	Pengnian Chen Huashu Qin Daizhzn Cheng Kangsheng Liu
Copyright Year	2004
Description	Author affiliation: Inst. of Autom., China Inst. of Metrol., Hangzhou, China (Pengnian Chen)
Abstract	This paper considers the problem of exact null controllability of linear control systems with compact semigroup in non-reflexive state spaces and control spaces. The weak convergence of bounded sequence of control functions with respect to the subspace of the dual space is studied and a lemma for the weak convergence is proved. Based on the lemma and the strong separation theorem, a necessary and sufficient condition for exact null controllability of compact semigroups with respect to the space consisting all essentially bounded measurable functions is obtained. An example of heat equation is presented to illustrate the utility of the result. Some related problems remaining for further study are addressed.
Sponsorship	Zhejian Univ. Nat. Lab. of Ind. Control Technol. IEEE Robotics and Automation Soc. Nat. Natural Sci. Found. of China Chinese Assoc. of Automation
Starting Page	101
Ending Page	104
File Size	354159
Page Count	4
File Format	PDF
ISBN	0780382730
DOI	10.1109/WCICA.2004.1340494
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2004-06-15
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Controllability Linear systems Control systems Temperature control Convergence Automatic control Differential equations Automation Mathematics Metrology
Content Type	Text
Resource Type	Article

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