2 Prove That If One Of The Roots Of 9 17 Has Positive Real Part Then The Solutions Of The Equation Of 9 16 Correspo 1 (10.29 KiB) Viewed 26 times
2 Prove That If One Of The Roots Of 9 17 Has Positive Real Part Then The Solutions Of The Equation Of 9 16 Correspo 2 (16.16 KiB) Viewed 26 times
2. Prove that if one of the roots of (9.17) has positive real part then the solutions of the equation of (9.16) corresponding this root are unstable. What is the nature of the general solution z(t)?
Proof The characteristic equation of (9.16) is given by pa+am-' +...+a,=0. (9.17) Let 2...., am bem distinct roots repeated 9.....9 times respectively (9, +...+9 = n). Let 2; = Q,+ iß, j = 1,..., m. It is known that (refer to Chapter 2) x;(1) = f exp (j), OSP54,-1.
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