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单词 Lyapunov's Second Theorem
释义

Lyapunov's Second Theorem

If all the Eigenvalues of a Real Matrix A have Real Parts, then to anarbitrary negative definite quadratic form with there corresponds a positivedefinite quadratic form such that if one takes


then and satisfy



References

Gradshteyn, I. S. and Ryzhik, I. M. Tables of Integrals, Series, and Products, 5th ed. San Diego, CA: Academic Press, p. 1122, 1979.


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