GATE Questions & Answers of State Space Model, State Transition Matrix

What is the Weightage of State Space Model, State Transition Matrix in GATE Exam?

Total 2 Questions have been asked from State Space Model, State Transition Matrix topic of Control Systems subject in previous GATE papers. Average marks 1.50.

In the signal flow diagram given in the figure, u1 and u2 are possible inputs whereas y1 and y2 are possible outputs. When would the SISO system derived from this diagram be controllable and observable?

The state transition matrix for the system

x1.x2.=1011x1x2+11u

is