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I was reading about Schmitt triggers and something is bothering me. Given that each component is memoryless- shouldn't the circuit be solvable(as in, for any input voltage it should always be immediately at a steady-state)?
Why can't it be described by a set of time independent algebraic equations since the V/I relationships of all components in the circuit are time independent?
A Schmitt trigger is not a memoryless circuit. It has positive feedback, which is one way of implementing state (or memory).
Similarly, a flip-flop can be made from only NAND gates, even though the individual gates would be considered "memoryless" when used individually. Again, it's feedback that gives the overall circuit its "memory".
