Order of Difference Equation

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The order of a dynamcial system or difference equation is the difference between the largest and the smallest arguments k appearing in it.

Example:

• y(k+1) = a(k)y(k)+b(k)            has order 1
• y(k-3)-3y(k-4) = 0                   has order 1
• y(k+3)+ay(k+1) = by(k-1)+c   has order 4

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