A system is described by the two differential equations dy/dt + y - 2u + aw =

Question:

A system is described by the two differential equations
dy/dt + y - 2u + aw = 0,
and
dw/dt - by + 4u = 0,
where w and y are functions of time, and u is an input u(t).
(a) Select a set of state variables,
(b) Write the matrix differential equation and specify the elements of the matrices,
(c) Find the characteristic roots of the system in terms of the parameters a and b.