New results in single linear quadratic optimal control
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Open access
Authors
Ferrante, A.
Ntogramatzidis, Lorenzo
Date
2012Type
Conference Paper
Metadata
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Ferrante, Augusto and Ntogramatzidis, Lorenzo. 2012. New results in single linear quadratic optimal control, in Honglei, X. and Xinmin Y. and Yi, Z. (ed), Proceedings of the 5th International Conference on Optimization and Control with Applications (OCA2012), Dec 4-8 2012, pp. 331-336. Beijing, China: COC Publications, Curtin University.
Source Title
Proceedings of the 5th International Conference on Optimization and Control with Applications
Source Conference
5th International Conference on Optimization and Control with Applications (OCA2012)
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Abstract
This paper focuses on the singular infinite-horizon linear quadratic (LQ) optimal control problem for continuous-time systems. In particular, we are interested in the stabilising impulse-free solutions to this problem that can be expressed as a static state feedback. In particular we establish a link between the geometric properties of the so-called Hamiltonian system associated with the optimal control problem at hand and the so-called proper deflating subspaces of the Hamiltonian matrix pencil.