Closed kimukook closed 3 years ago
Is the violation example close to ||x||=0.5? The numerical relaxation can soften the constraints. Try strengthening the inequalities like setting ball_lb to 0.6 or something.
Is the violation example close to ||x||=0.5? The numerical relaxation can soften the constraints. Try strengthening the inequalities like setting ball_lb to 0.6 or something.
Dear prof. Gao,
Thank you so much for your info! I found points violating the constraints at [0.2185, 0.4662] which is somehow close to the lower bound 0.5. I will increase the lower bound and test it again.
It might be not appropriate to mention here, but I am also interested in generating Lyapunov function for a highly nonlinear system using neural network. (Apologize first if I bring this up in an improper situation.) I found two layers structure could not find a valid Lyapunov function in 2000 training iterations. I am trying up to 5 layers( 4 hidden layers + 1 output layer) with tanh as the activation function, still couldn't a valid one. I really appreciate any suggestion on this. Thank you so much again for your help!
email me and we can discuss
Hi all, I am trying to use dReal4 to check the requirements of Lyapunov stability. The Lyapunov function is generated by a Neural network. The region where I would like dReal4 to check for Lyapunov stability is
0.5<=||x||_2<=1.5
. However, dReal4 found the invalid box region that is inside||x||_2<=0.5
. I appreciate any feedback on how to modify this. Thank you for your help!The code I am using is appended below: