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On Criteria for Closedness of an Attainable Set of a Discrete Neutral Control System

✍ Scribed by Jerry Uche Onwuatu


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
114 KB
Volume
268
Category
Article
ISSN
0022-247X

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✦ Synopsis


This paper deals with the closedness of the attainable set in the function space W 1 2 Γ— L 2 of a linear neutral system with commensurate delays in state and control. Necessary and sufficient algebraic criteria expressed in terms of the system matrices for the closedness are derived. By the additional restriction that the control is a scalar control, another criterion for closedness, based on the transfer matrix, is indicated and used to verify the results.  2002 Elsevier Science (USA) Γ— L 2 of system (1). Our results, which are algebraic in nature, are generalized and extend the results of various authors. Colonius and Hinehsen [5] studied the optimal control of hereditary systems. As part of their results they


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