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SIAM Journal on Control and Optimization
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Well-posedness of boundary control systems

descriptionPublicationkeyboard_double_arrow_right Article , Conference object 01 Jan 2003 Canada Publisher:IEEEJournal:2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)
Authors: Cheng, Ada; Morris, Kirsten;

doi: 10.1109/cdc.2004.1428901 , 10.1137/s0363012902384916

handle: 10012/12859

Well-posedness of boundary control systems

Abstract

The authors study the continuity of the input/output map for boundary control systems through the system transfer function transporting the continuity to uniform boundedness of the solution to a related elliptic boundary value problem. The approach is used to obtain well-posedness of several large classes of boundary control systems.

Country
Canada
Related Organizations
Keywords

boundary control, parameters, Dependence of solutions on initial and boundary data, Control/observation systems governed by partial differential equations, input/output stability, Systems governed by partial differential equations, infinite-dimensional systems, Boundary value problems for second-order elliptic equations, well-posedness, PDE in connection with control problems, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs

  • BIP!
    Impact byBIP!
    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 48
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Top 10%
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
48
Top 10%
Top 10%
Top 10%
bronze