Controllability and Observability of the Descriptor Linear Systems Reduced to the Standard Ones by Feedbacks
ACTA MECHANICA ET AUTOMATICA(2024)
Abstract
In this paper, a new method for the reduction of the descriptor linear systems to standards ones is presented and verified. The method uses a state and/or state derivative feedback of output and output derivative feedback in order to transform the descriptor system into a standard one. The controllability and observability properties of the original descriptor as well as transformed standard systems are proved. Simple numerical examples illustrate the theorems introduced.
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Key words
controllability and observability,descriptor linear systems,state feedback,state derivative feedback,standard linear systems
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