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Regularization and pole assignment of linear discrete-time periodic descriptor systems by derivative and proportional state feedback. (English) Zbl 1083.93033
Simos, T. E. (ed.) et al., ICNAAM 2004. International conference on numerical analysis and applied mathematics 2004, Chalkis, Greece, September 10–14, 2004. Official conference of the European Society of Computational Methods in Science and Engineering (ESCMSE). Weinheim: Wiley-VCH (ISBN 3-527-40563-1/hbk). 221-223 (2004).
Summary: We consider the regularization problem for the linear time-varying discrete-time periodic descriptor systems by derivative and proportional state feedback controls. Sufficient conditions are given under which derivative and proportional state feedback controls can be constructed so that the periodic closed-loop systems are regular and of index at most one. The construction procedures used to establish the theory are based on orthogonal and elementary matrix transformations and can, therefore, be developed to a numerically efficient algorithm. The problem of finite pole assignment of periodic descriptor systems is also studied.
For the entire collection see [Zbl 1056.65002].

MSC:
93C55 Discrete-time control/observation systems
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