01009nas a2200133   4500000000100000008004100001260000900042100002100051700001700072700002400089245011400113490000900227520063900236       2024                            d  c20241 aTadeusz Kaczorek1 aJerzy Klamka1 aAndrzej Dzieliński00aCONTROLLABILITY AND OBSERVABILITY OF THE DESCRIPTOR LINEAR SYSTEMS  REDUCED TO THE STANDARD ONES BY FEEDBACKS0 v18/13 a<p>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</p>