Homework Help: System memory/Causality Question

1. Aug 9, 2008

Schniz2

1. The problem statement, all variables and given/known data

I need to state the Causality and whether it is a system with memory or a memory-less system and give reasons. The system is defined by:
(see 2.jpg below)... how do people type equations in message boards? :P

3. The attempt at a solution

Ok, so i have reasoned that the system is causal because if the input x(lambda) is zero, then the output will be the definite integral of zero which is equal to zero (i hope this is right). But then with the memory part im having a bit of trouble... im not sure i understand what the significance of the lambda variable is... is it an arbitrary point in time? because if so this would mean that it is a system with memory as the point in time could be less than t=0. Is it also assumed that lambda is only allowed to be less than or equal to t=0 because of the systems causality?
i hope this makes sense... i may be on the wrong track...

thanks

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2. Aug 18, 2008