Mathematics
Mathematics, 08.11.2019 06:31, Dracopaul03

Prove that the discrete time system x(k + 1) = a(k)x(k) x(0) = x0 (3) is stable if there exists a sequence of n×n matrices, denoted q(k), such that for all k q(k) is symmetric and satisfies ηi ≤ q(k) ≤ rhoi (4) a t (k)q(k + 1)a(k) − q(k) ≤ −νi (5)

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Prove that the discrete time system x(k + 1) = a(k)x(k) x(0) = x0 (3) is stable if there exists a se...

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