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An algebraic approach to the synthesis of control for linear discrete meromorphic systems. (English) Zbl 0679.93005

Summary: The polynomial approach, successfully used for the synthesis of control of finite-dimensional linear systems, is generalized to the class of meromorphic systems. It is shown that many properties carry over without changes but some have no analogy in the new class, and there are also some new properties emerging.

MSC:

93B50 Synthesis problems
93C05 Linear systems in control theory
93B25 Algebraic methods
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References:

[1] V. Kučera: Discrete Linear Control – The Polynomial Equation Approach. John Wiley & Sons, Chichester 1979.
[2] L. Pernebo: An algebraic theory for the design of controllers for linear multivariable systems. IEEE Trans. Automat. Control AC-26 (1981), 171-194. · Zbl 0467.93041 · doi:10.1109/TAC.1981.1102553
[3] A. V. Bicadze: Osnovi teorii analitičeskich funkcij kompleksnogo peremennogo. Izdatelstvo Nauka, Moscow 1972. In Russian.
[4] A. E. Taylor: Introduction into Functional Analysis. John Wiley & Sons, New York 1967.
[5] J. Ježek: Discrete Transfer Functions of Systems with Transport Delay in Feedback Loop. Research Report ÚTIA, No. 481, Prague 1973. In Czech.
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