resolvent matrix

The transfer function of the system $$Y\left( s \right)/U\left( s \right)$$ , whose state-space equations are given below is: $$\eqalign{ & \left[ {\matrix{ {\mathop {{x_1}}\limits...

For the system governed by the set of equations: $$$\eqalign{ & d{x_1}/dt = 2{x_1} + {x_2} + u \cr & d{x_2}/dt = - 2{x_1} + u \cr & \,\,\,\,\,\,y = 3{x_1} \cr} $$$ the transfer fun...

Consider the state equation $$\mathop X\limits^ \bullet \left( t \right) = Ax\left( t \right)$$ Given : $${e^{AT}} = \left[ {\matrix{ {{e^{ - t}} + t{e^{ - t}}} & {t{e^{ - t}}} \cr...

Determine the transfer function of the system having the following state variable representation: $$\eqalign{ & X = \left[ {\matrix{ 0 & 1 & 0 \cr 0 & 0 & 1 \cr { - 40} & { - 44} &...

A system is described by the state equation $$\mathop X\limits^ \bullet = AX + BU$$ , The output is given by $$Y=CX$$ Where $$A = \left( {\matrix{ { - 4} & { - 1} \cr 3 & { - 1} \c...