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Symmetric singular linear control systems

โœ Scribed by R. Bru; C. Coll; N. Thome


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
407 KB
Volume
15
Category
Article
ISSN
0893-9659

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โœฆ Synopsis


the group inverse, an explicit solution to a symmetric singular system is described. The general explicit solution is derived when the symmetric singular system satisfies the regularity condition.

Certain special properties of these singular systems are presented. Finally, a symmetric balanced realization is obtained from an equivalent standard control system.


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## Abstract A method for finding the optimal control of linear singular systems with a quadratic cost functional using piecewise linear polynomial functions is discussed. The state variable, state rate, and the control vector are expanded in piecewise linear polynomial functions with unknown coeffi