Question: True or false: The system u = H n u, where H n is the n n Hilbert matrix (1.72), is asymptotically stable. n+

True or false: The system u̇ = −Hnu, where Hn is the n × n Hilbert matrix (1.72), is asymptotically stable.


n+ n+ 2 n- : ... ... H, = 111 111 |

n+ n+ 2 n- : ... ... H, = 111 111 | NT 11111161811 : : : (1.72) :

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