ɪf ðə stˈeɪt ᵻkwˈeɪʒən ɪz pˌɑːlɪnˈoʊmɪəl ðˈɛn ðə pɹˈɑːbləm ɪz nˈoʊn æz ðə pˌɑːlɪnˈoʊmɪəlkwɑːdɹˈæɾɪk ɹˈɛɡjʊlˌeɪɾɚ pˌiːkjˌuːˈɑːɹ.
If the state equation is polynomial then the problem is known as the polynomial-quadratic regulator (PQR).