activity
20152021
most citedElongation of Curvature-Bounded Path

17 citations · 33 across the 8 of their papers we have counts for

collaborators

8 papers

math.OC2021★ 17 cited

Elongation of Curvature-Bounded Path

Zheng Chen, Kun Wang, Yang Lu

The paper is concerned with elongating the shortest curvature-bounded path between two oriented points to an expected length. The elongation of curvature-bounded paths to an expect…

math.OC2021★ 1 cited

Time-Optimal Guidance for Intercepting Moving Targets with Impact-Angle Constraints

Yuan Zheng, Zheng Chen

The minimum-time path for intercepting a moving target with a prescribed impact angle is studied in the paper. The candidate paths from Pontryagin's maximum principle are analyzed,…

math.OC2020★ 3 cited

Time-Optimal Guidance to Intercept Moving Targets by Dubins Vehicles

Yuan Zheng, Xueming Shao, Zheng Chen +1

This paper is concerned with a Minimum-Time Intercept Problem (MTIP), for which a Dubins vehicle is guided from a position with a prescribed initial orientation angle to intercept…

math.OC2016★ 1 cited

Optimality conditions applied to free-time multi-burn optimal orbital transfers

Zheng Chen

While the Pontryagin Maximum Principle can be used to calculate candidate extremals for optimal orbital transfer problems, these candidates cannot be guaranteed to be at least loca…

math.OC2015★ 6 cited

-optimality conditions for circular restricted three-body problems

Zheng Chen

In this paper, the L1-minimization for the translational motion of a spacecraft in a circular restricted three-body problem (CRTBP) is considered. Necessary con- ditions are derive…

math.OC2015

Neighboring Optimal Guidance for Low-Thrust Multi-Burn Orbital Transfers

Zheng Chen

This paper presents a novel neighboring extremal approach to establish the neighboring optimal guidance (NOG) strategy for fixed-time low-thrust multi-burn orbital transfer problem…

math.OC2015★ 5 cited

-Minimization for Mechanical Systems

Zheng Chen, Jean-Baptiste Caillau, Yacine Chitour

Second order systems whose drift is defined by the gradient of a given potential are considered, and minimization of the -norm of the control is addressed. An analysis of the…

math.OC2015

Controllability of Keplerian Motion with Low-Thrust Control Systems

Zheng Chen, Yacine Chitour

In this paper, we present the controllability properties of Keplerian motion controlled by low-thrust control systems. The low-thrust control system, compared with high or even imp…