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Nonlinear Control Sy.. - Free

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2.12. EXERCISES 63<br />

Notes and References<br />

J r1 = X2<br />

Sl 22 = m21 - 12<br />

J ±1 = X2<br />

ll k,22<br />

There are many good references for the material in this chapter. For a complete,<br />

remarkably well-written account of vector spaces, see Halmos [33]. For general background<br />

in mathematical analysis, we refer to Bartle [7], Maddox [51], and Rudin [62]. Section 2.9,<br />

including Theorem 2.10, is based on Hirsch [32]. The material on existence and uniqueness of<br />

the solution of differential equations can be found on most textbooks on ordinary differential<br />

equations. We have followed References [32], [88] and [41]. See also References [59] and<br />

[55].

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