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Data-driven control of linear systems using quantized data
Zhenghao Li, Guosong Yang
This paper studies data-driven stabilization of unknown discrete-time linear systems using only quantized state measurements that take values in finite sets. The proposed approach…
Topological entropy of nonlinear time-varying systems
Guosong Yang, Daniel Liberzon
We study the topological entropy of nonlinear time-varying systems. We establish conditions under which entropy is independent of the initial time and derive two general upper boun…
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…
Lyapunov small-gain theorems for networks of not necessarily ISS hybrid systems
Andrii Mironchenko, Guosong Yang, Daniel Liberzon
We prove a novel Lyapunov-based small-gain theorem for networks of hybrid systems which are not necessarily input-to-state stable. This result unifies and extends seve…