17 citations · 81 across the 44 of their papers we have counts for
8 papers · 1 filter
Over- and Under-Approximating Reachable Sets for Perturbed Delay Differential Equations
Bai Xue, Qiuye Wang, Shenghua Feng +1
This note explores reach set computations for perturbed delay differential equations (DDEs). The perturbed DDEs of interest in this note is a class of DDEs whose dynamics are subje…
Synthesizing Robust Domains of Attraction for State-Constrained Perturbed Polynomial Systems
Bai Xue, Qiuye Wang, Naijun Zhan +2
In this paper we propose a novel semi-definite programming based method to compute robust domains of attraction for state-constrained perturbed polynomial systems. A robust domain…
Robust Invariant Sets Computation for Switched Discrete-Time Polynomial Systems
Bai Xue, Naijun Zhan
In this paper we study the robust invariant sets generation problem for discrete-time switched polynomial systems subject to disturbance inputs within the optimal control framework…
Reach-Avoid Differential Games Based on Invariant Generation
Bai Xue, Qiuye Wang, Naijun Zhan +2
Reach-avoid differential games play an important role in collision avoidance, motion planning and control of aircrafts, and related applications. The central problem is the computa…
Inner-Approximating Reachable Sets for Polynomial Systems with Time-Varying Uncertainties
Bai Xue, Martin Fränzle, Naijun Zhan
In this paper we propose a convex programming based method to address a long-standing problem of inner-approximating backward reachable sets of state-constrained polynomial systems…
Robust Regions of Attraction Generation for State-Constrained Perturbed Discrete-Time Polynomial Systems
Bai Xue, Naijun Zhan, Yangjia Li
In this paper we propose a convex programming based method for computing robust regions of attraction for state-constrained perturbed discrete-time polynomial systems. The robust r…