most citedStability of Nonlinear Regime-switching Jump Diffusions

32 citations · 37 across the 5 of their papers we have counts for

collaborators

7 papers

math.OC2014

A Mean-Variance Control Framework for Platoon Control Problems: Weak Convergence Results and Applications on Reduction of Complexity

Zhixin Yang, G. Yin, Le Yi Wang +1

This paper introduces a new approach of treating platoon systems using mean-variance control formulation. The underlying system is a controlled switching diffusion in which the ran…

math.OC2014★ 1 cited

Mean-Variance Type Controls Involving a Hidden Markov Chain: Models and Numerical Approximation

Zhixin Yang, George Yin, Qing Zhang

Motivated by applications arising in networked systems, this work examines controlled regime-switching systems that stem from a mean-variance formulation. A main point is that the…

math.OC2014★ 4 cited

Near-Optimal Mean-Variance Controls under Two-time-scale Formulations and Applications

Zhixin Yang, G. Yin, Le Yi Wang +1

Although the mean-variance control was initially formulated for financial portfolio management problems in which one wants to maximize expected return and control the risk, our mot…

math.OC2014★ 32 cited

Stability of Nonlinear Regime-switching Jump Diffusions

Zhixin Yang, G. Yin

Motivated by networked systems, stochastic control, optimization, and a wide variety of applications, this work is devoted to systems of switching jump diffusions. Treating such no…

math.OC2014

Stability of Numerical Methods for Jump Diffusions and Markovian Switching Jump Diffusions

Zhixin Yang, G. Yin, Haibo Li

This work focuses on stability analysis of numerical solutions to jump diffusions and jump diffusions with Markovian switching. Due to the use of Poisson processes, using asymptoti…

cs.NE2013

On the performance of a hybrid genetic algorithm in dynamic environments

Quan Yuan, Zhixin Yang

The ability to track the optimum of dynamic environments is important in many practical applications. In this paper, the capability of a hybrid genetic algorithm (HGA) to track the…