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General orthogonal sequences via a Routh-type stability array

General orthogonal sequences via a Routh-type stability array

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© The Institution of Electrical Engineers
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It is shown that orthogonal functions are easily extracted from a Routh-type array widely used for testing the stability of discrete systems. As an application, computation of the optimal numerator of a reduced discrete model without inverting a Gram matrix is presented.

Inspec keywords: discrete time systems; matrix algebra; control system analysis; stability

Other keywords: optimal numerator; Routh-type; orthogonal sequences; model order reduction; reduced discrete model; Gram matrix; stability array

Subjects: Algebra; Stability in control theory; Control system analysis and synthesis methods; Discrete control systems

References

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      • P. Vilbe , L.C. Calvez , M. Sevellec , C. Nouet . l2-optimal numerator via Routh table. Electron. Lett. , 14 , 1306 - 1308
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      • L.C. Calvez , P. Vilbe , M. Selvellec . Efficient evaluation of model-reduction related integrals via polynomial arithmetic. Eletron. Lett. , 7 , 659 - 661
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      • C.P. Therapos . Balanced minimal realisation of SISO systems. Electron. Lett. , 11 , 424 - 426
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      • T.N. Lucas . Evaluation of scalar products of repeated integrals by Routh algorithm. Electron. Lett. , 20 , 1290 - 1291
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      • R. Unnikrishnan , A. Gupta . Model reduction for discrete time systems. Electron. Lett. , 5 , 282 - 284
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      • K.J. Aström . (1970) , Introduction to stochastic control theory.
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      • L.C. Calvez , P. Vilbe , P. Glouannec . Orthonormal and nonorthonormal least squares approximation of a function subject to linear equality constraints. IEEE Trans. , 8 , 851 - 853
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