wˌɛn ænd ðə nˈɔɪz ɪntˈɛnsᵻɾi mˈeɪtɹɪsˌiːz ,  duːnˌɑːt dᵻpˈɛnd ˌɔn ænd wɛn tˈɛndz tʊ ɪnfˈɪnᵻɾi ðɪ ˌɛlkjˌuːdʒˈiː kəntɹˈoʊlɚ bɪkˌʌmz ɐ tˈaɪmɪnvˈɛɹiənt daɪnˈæmɪk sˈɪstəm.
When  and the noise intensity matrices ,  do not depend on  and when  tends to infinity the LQG controller becomes a time-invariant dynamic system.