(a) The model of a continuous-time system with algebraic loops is given as x(t)=2x(t) + 0.5x(t) +...

(a) The model of a continuous-time system with algebraic loops is given as

Transcribed Image Text:

x(t)=2x(t) + 0.5x(t) + 3u(t) y(t) = x(t) + 4u(t) Derive the state equations for this system. (b) Repeat part (a) for the system described by xi(t) =xi(t) + 2x(t) + x(t) x(t)=x (t) x (1)- x (t) + x(t) + u(t) y(t) = x(t) Use the matrix technique of Section 4.9. (c) Verify the results of part (b) by solving the given equations for * (t) state-variable format. and x (1) in the standard