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need Matlab implementation of a dynamical system with sensitivity at certain points
Posted:
Jul 24, 2009 12:54 PM


I have an AItype of algorithm that I'm trying to teach to find the "right" time to do things. I think a reasonable model system for it to train on would be something that bounces around in some sort of space as a function of time, such that at certain times, a push would do nothing (leave it on the same trajectory), while at other (rare) times, a push would send it towards a different stable point. I want it to discover those important points with feedback. For example, if I had a model of a swinging pendulum, then adding a "kick" to get it going faster would be best at an edges of the trajectory, while pushing it in the middle might actually slow it down (like pushing a kid on the swings, you learn to push at the very end of the upswing). Or, one of those magnetic "make a decision" novelty toys: it's a magnet on a string, and it's hanging over a field of a few other magnets. When you let it go, it starts to bounce around and eventually settles into one of several, very hard to predict, positions (kind of like the old 8ball toy). Seems to me that ought to have the property I'm looking for. I'd like something (in Matlab ideally) that would graphically show the evolution of a dynamical system, and make it easy to implement giving it an external kick at various times, and also to read out its position at any time. So, I need a simulation that evolves in time, not an analytic solution of the pure system. Any ideas?
thanks!!
Mike



