Exercise 6.2 Let t <ti be an arbitrary time at which the solution P(t) of the RDE (6.14) with the boundary condition (6.11) exists. a) Prove that P(t) is a symmetric matrix. b) Prove that P(t) > 0 (positive semidefinite). c) Can you prove that P(t) > 0 (positive definite)? If not, can you prove this by strengthening one of the standing assumptions?
P(t) = -P(t) A(t) – AT (t)P(t) - Q(t) + P(t)B(t)R-(+) BT (t)P() (6.14)
P(ti) = M. (6.11)
Exercise 6.2 Let t
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Exercise 6.2 Let t
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