4 papers
A Common Lyapunov Matrix Approach to the Exponential Stability of Augmented Primal-Dual Gradient Flow as LPV Systems
Mengmou Li, Lijun Zhu, Masaaki Nagahara
We show that a common Lyapunov matrix exists for the convex combination of two Hurwitz matrices if and only if the intersection of the set of strict Lyapunov matrices for one matri…
A Canonical Structure for Constructing Projected First-Order Algorithms With Delayed Feedback
Mengmou Li, Yu Zhou, Xun Shen +1
This work introduces a canonical structure for a broad class of unconstrained first-order algorithms that admit a Lur'e representation, including systems with relative degree great…
Sparse optimal control for infinite-dimensional linear systems with applications to graphon control
Takuya Ikeda, Masaaki Nagahara
Large-scale networked systems typically operate under resource constraints, and it is also difficult to exactly obtain the network structure between nodes. To address these issues,…
Switched Systems Control via Discreteness-Promoting Regularization
Masaaki Nagahara, Takuya Ikeda, Ritsuki Hoshimoto
This paper proposes a novel method for designing finite-horizon discrete-valued switching signals in linear switched systems based on discreteness-promoting regularization. The inh…