5 papers
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…