A Constructing Method of Quadratic System Decoupling

Solving the quadratic system decoupling problem is critical in several applications in control and systems theory. Based on lancaster structure and nonsingular leading coefficient, a new constructing method of quadratic system decoupling is proposed in this paper, discussing necessary and sufficient condition of diagonalizable quadratic isospectral system and its corresponding proof, and amplified the whole computational details. The constructing method is convenient and, most importantly, the decoupled system is isospectral with original one. Finally numerical experiment show the feasibility and efficiency of the proposed method.