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math.OC2025
Topological Entropy of Nonlinear Time-Varying Systems
Guosong Yang, Daniel Liberzon
Two general upper bounds on the topological entropy of nonlinear time-varying systems are established: one using the matrix measure of the system Jacobian, the other using the larg…
math.OC2024
Newton and interior-point methods for (constrained) nonconvex-nonconcave minmax optimization with stability and instability guarantees
Raphael Chinchilla, Guosong Yang, Joao P. Hespanha
We address the problem of finding a local solution to a nonconvex-nonconcave minmax optimization using Newton type methods, including interior-point ones. We modify the Hessian mat…