State space representation of the system

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Reference no: EM13889361

As in the discrete-time case, controllability  and  observability  of  a  continuous-time  LTI  system may be investigated by diagonalizing the system  matrix A. A system with  state space  representation v(t) = Av(t) + bx(y) y (t) = cv(t) where is a diagonal matrix, is controllable if the vector has  no  zero  elements  and  is observable  if  the  vector  c has  no  zero  elements.  Consider  the  continuous-time  system.

(a) Find a new state space representation of the system by diagonalizing the system matrix A.

(b) Is the system  controllable?

(c) Is the system observable?

Reference no: EM13889361

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