Pole placement for singular systems
Systems & Control Letters
Singular Control Systems
Journal of Computational and Applied Mathematics
Design of QoS in Intelligent Communication Environments Based on Neural Network
Wireless Personal Communications: An International Journal
Data transmission rate control in computer networks using neural predictive networks
ISPA'04 Proceedings of the Second international conference on Parallel and Distributed Processing and Applications
Automatica (Journal of IFAC)
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This paper studies the structural properties of both finite poles and the infinite pole of linear time-invariant singular systems under output feedback. Three main problems are studied, namely, (1) the algebraic structures of both finite poles and the infinite pole; (2) the assignability of finite poles and the elimination of the infinite pole by output feedback; and (3) the controllability and observability of the system with minimal number of inputs and outputs. New generic solutions to these problems are presented in terms of some new concepts defined in this paper including the geometric multiplicity of the infinite pole, the finite and impulsive output feedback cycle indices of the system. Determination of these multiplicities and indices are discussed. An assignability equivalence is established between the variable finite poles and the poles of a controllable and observable non-singular system. The number of the independent infinite poles that can be reduced is given in terms of the system matrices. The minimal number of inputs and outputs that guarantee controllability and observability are shown to be the output feedback cycle indices.