Nope. Every single system like that will misbehave if given a bad set of weights, or even a random set of weights. I'd go as far as saying that even with "good"

Nope. Every single system like that will misbehave if given a bad set of weights, or even a random set of weights. I'd go as far as saying that even with "good" weights, it's likely to have some sigma of misbehavior.