On the generalized Cayley-Hamilton theorem
B.G. Mertzios, M.A. Christodoulou · IEEE Transactions on Automatic Control · 1986
The Cayley-Hamilton theorem is extended to the case where twoAandB n \times nmatrices are involved. Results similar to the regular case are presented. The results are useful for problems that concern the analysis as well as the synthesis of singular systems, for the definition of a function of two matricesf(A, B)and in various other problems in linear algebra.