2 citations · 2 across the 6 of their papers we have counts for
10 papers
Computational complexity of static output feedback stabilization
Zhaobo Liu
We study the computational complexity of static output feedback (SOF) stabilization for continuous-time linear systems. For rational plant data, we prove that this problem is compl…
Controller Identifiability: The Boundary Between Logarithmic and Square-Root Local Minimax Regret in Structured Adaptive LQR
Zhaobo Liu
We study when logarithmic regret is attainable in structured adaptive linear-quadratic regulation. The state and input matrices depend affinely on a common unknown parameter. We co…
Global Output Lifting and Surjectivity in Invertible Nonlinear MIMO Systems
Zhaobo Liu
Global inversion of nonlinear multivariable systems raises the question of whether every target value of the selected output derivatives can be realized by a plant state. We prove…
Strong Consistency, Optimal Tracking and Sharp Rates for the Åström-Wittenmark Self-Tuning Regulator with Unknown Input Gain
Zhaobo Liu
We study strong consistency and optimal tracking of the Astrom-Wittenmark self-tuning regulator with unknown input gain. Existing results establish consistency of all parameter est…
Fundamental Limits of Adaptive Stabilization with an Unknown Growth Exponent
Zhaobo Liu
A basic question in adaptive control is how rapidly a discrete-time nonlinear plant with unknown parameters may grow while remaining stabilizable. When the nonlinear growth exponen…
Stabilizability Theorems on Discrete-time Nonlinear Uncertain Systems
Zhaobo Liu, Chanying Li
This paper derives two stabilizability theorems for a basic class of discrete-time nonlinear systems with multiple unknown parameters. First, we claim that a discrete-time multi-pa…
Inverse Eigenvalue Problem For Mass-Spring-Inerter Systems
Zhaobo Liu, Qida Xie, Chanying Li
This paper has solved the inverse eigenvalue problem for "fixed-free" mass-chain systems with inerters. It is well known that for a spring-mass system wherein the adjacent masses a…
Asymptotic Behavior of Least Squares Estimator for Nonlinear Autoregressive Models
Zhaobo Liu, Chanying Li
This paper is concerned with the least squares estimator for a basic class of nonlinear autoregressive models, whose outputs are not necessarily to be ergodic. Several asymptotic p…
Is It Possible to Stabilize Disrete-time Parameterized Uncertain Systems Growing Exponentially Fast?
Zhaobo Liu, Chanying Li
This paper derives a somewhat surprising but interesting enough result on the stabilizability of discrete-time parameterized uncertain systems. Contrary to an intuition, it shows t…
When Adaptive Diffusion Algorithm Converges to True Parameter?
Zhaobo Liu, Chanying Li
We attempt to answer the question what data brings adaptive diffusion algorithms converging to true parameters. The discussion begins with the diffusion recursive least squares (RL…