1969Electronics LettersRequires access

Decoupling and determination of the inverse for time-varying multivariable systems

Ε. Freund

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Abstract

Decoupling by state-variable feedback and forming of the inverse has been done for multivariable systems with constant coefficients. In this letter, the theory is extended to linear time-varying systems. For this, general conditions are formulated when a time-varying multivariable systems can be decoupled. Further, the matrices are given for the decoupling. The inverse of a linear time-varying multivariable systems is also determined.

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What this paper is about

Decoupling by state-variable feedback and forming of the inverse has been done for multivariable systems with constant coefficients. In this letter, the theory is extended to linear time-varying systems. For this, general conditions are formulated when a time-varying multivariable systems can be decoupled. Further, the matrices are given for the decoupling. The inverse of a linear time-varying multivariable systems is also determined.

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Available abstract

Decoupling by state-variable feedback and forming of the inverse has been done for multivariable systems with constant coefficients. In this letter, the theory is extended to linear time-varying systems. For this, general conditions are formulated when a time-varying multivariable systems can be decoupled. Further, the matrices are given for the decoupling. The inverse of a linear time-varying multivariable systems is also determined.

Key concepts: Multivariable calculus, Decoupling (probability), Control theory (sociology), Inverse, Inverse system, Linear system, Mathematics, Computer science

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