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. Key words: controllability and observability, descriptor linear systems, state feedback, state derivative feedback, standard linear system
BT - Acta Mechanica et Automatica DA - 2024 LA - eng N2 -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. Key words: controllability and observability, descriptor linear systems, state feedback, state derivative feedback, standard linear system
PY - 2024 SE - 119 T2 - Acta Mechanica et Automatica TI - CONTROLLABILITY AND OBSERVABILITY OF THE DESCRIPTOR LINEAR SYSTEMS REDUCED TO THE STANDARD ONES BY FEEDBACKS VL - 18/1 ER -