Open Access
2014 Singular LQ Problem for Irregular Singular Systems
Qingxiang Fang, Baolin Zhang, Jun-e Feng
J. Appl. Math. 2014: 1-9 (2014). DOI: 10.1155/2014/853415


This paper is concerned with the singular LQ problem for irregular singular systems with persistent disturbances. The full information feedback control method is employed to achieve the optimal control. By restricted system equivalence transformation, the system state is decomposed into free state and restricted state and the input is decomposed into free input and forced input. Some sufficient conditions for the unique existence of optimal control-state pair are derived and these conditions are all described unitedly with matrix rank equalities. The optimal control-state pair can be explicitly formulated via solving an algebraic Riccati equation and a Sylvester equation. Moreover, under the optimal control-state pair, the resulting system has no free state.


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Qingxiang Fang. Baolin Zhang. Jun-e Feng. "Singular LQ Problem for Irregular Singular Systems." J. Appl. Math. 2014 1 - 9, 2014.


Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131927
MathSciNet: MR3232935
Digital Object Identifier: 10.1155/2014/853415

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
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