activity
20152023
most citedOn stabilizability and exact observability of stochastic systems with their applications

264 citations · 265 across the 8 of their papers we have counts for

collaborators

8 papers

math.OC2023★ 264 cited

On stabilizability and exact observability of stochastic systems with their applications

Weihai Zhang, Bor-Sen Chen

This paper discusses the stabilizability, weak stabilizability, exact observability and robust quadratic stabilizability of linear stochastic control systems. By means of the spect…

math.OC2022

Improved finite-time stability and instability theorems for stochastic nonlinear systems

Weihai Zhang, Liqiang Yao

This paper studies finite-time stability and instability theorems in probability sense for stochastic nonlinear systems. Firstly, a new sufficient condition is proposed to guarante…

math.OC2018

Mixed Fault Detection Filtering for Itô-Type Affine Nonlinear Stochastic Systems

Tianliang Zhang, Feiqi Deng, Weihai Zhang +1

This paper studies the mixed fault detection filtering of Itô-type nonlinear stochastic systems. Mixed filtering combines the system robustness to…

math.OC2018

Robust Filtering for Nonlinear Discrete-time Stochastic Systems

Tianliang Zhang, Feiqi Deng, Weihai Zhang

This paper mainly discusses the filtering of general nonlinear discrete time-varying stochastic systems. A nonlinear discrete-time stochastic bounded real lemma (SBRL)…

math.OC2018

Finite-time stability and stabilization of linear discrete time-varying stochastic systems

Tianliang Zhang, Feiqi Deng, Weihai Zhang

This paper studies the finite-time stability and stabilization of linear discrete time-varying stochastic systems with multiplicative noise. Firstly, necessary and sufficient condi…

math.OC2017

New Approach to General Nonlinear Discrete-Time Stochastic Control

Xiangyun Lin, Tianliang Zhang, Weihai Zhang +1

In this paper, a new approach based on convex analysis is introduced to solve the problem for discrete-time nonlinear stochastic systems. A stochastic version of bounded…

math.OC2015

Detectability, Observability and Lyapunov-Type Theorems of Linear Discrete Time-Varying Stochastic Systems with Multiplicative Noise

Weihai Zhang, Wei Xing Zheng, Bor-Sen Chen

The objective of this paper is to study detectability, observability and related Lyapunov-type theorems of linear discrete-time time-varying stochastic systems with multiplicative…

math.OC2015★ 1 cited

New Results on Stability of Singular Stochastic Markov Jump Systems with State-Dependent Noise

Yong Zhao, Weihai Zhang

This paper aims to develop the stability theory for singular stochastic Markov jump systems with state-dependent noise, including both continuous- and discrete-time cases. The suff…