PROJECTS Project 1 Eigenvalue-Placement Design of a Satellite Attitude Control System

    Projects 199 ᭤ When A has real eigenvalues λ 1 = λ 2 with corresponding eigenvectors v 1 and v 2 , ᭤ a general solution of x = Ax is x = c 1 e λ 1 t v 1 + c 2 e λ 2 t v 2 , ᭤ if det(A) = 0, the only critical point (the origin) is (i) a node if the eigenvalues have the same algebraic sign, or (ii) a saddle point if the eigenvalues are of opposite sign. ᭤ If… CONTINUE READING