7 papers
Elementwise Positivity of the Solution to Lyapunov Equation for Hurwitz Companion Matrices
Miaomiao Wang, Patrizio Colaneri, Jie Chen
We prove, with the aid of AI, that for every real symmetric forcing matrix , the unique solution of a continuous-time Lyapunov equation is entrywise nonnegative whenever…
Perron--Frobenius Operator Matching for Generative Modeling
Shiqi Zhang, Wuwei Wu, Jaemin Oh +2
We introduce Perron--Frobenius Operator Matching (PFOM), a generative framework that matches density evolution via the integral PF operator, subsuming flow, diffusion, and jump mod…
Identification with Orthogonal Basis Functions: Convergence Speed, Asymptotic Bias, and Rate-Optimal Pole Selection
Jiayun Li, Yiwen Lu, Yilin Mo +1
This paper is concerned with performance analysis and pole selection problem in identifying linear time-invariant (LTI) systems using orthogonal basis functions (OBFs), a system id…
Automated algorithm design for convex optimization problems with linear equality constraints
Ibrahim K. Ozaslan, Wuwei Wu, Jie Chen +2
Synthesis of optimization algorithms typically follows a {\em design-then-analyze\/} approach, which can obscure fundamental performance limits and hinder the systematic developmen…
Tannenbaum's gain-margin optimization meets Polyak's heavy-ball algorithm
Wuwei Wu, Jie Chen, Mihailo R. Jovanović +1
This paper highlights an apparent, yet relatively unknown link between algorithm design in optimization theory and controller synthesis in robust control. Specifically, quadratic o…
Classical Stability Margins by PID Control
Qi Mao, Yong Xu, Jianqi Chen +2
Proportional-Integral-Derivative (PID) control has been the workhorse of control technology for about a century. Yet to this day, designing and tuning PID controllers relies mostly…