Tree-Search-Based Any-Time Time-Optimal Path-Constrained Trajectory Planning With Inadmissible Island Constraints

Autor: Peiyao Shen, Xuebo Zhang, Yongchun Fang

Publikováno v: IEEE Access, Vol 7, Pp 1040-1051 (2019)

Time-optimal path-constrained trajectory planning is of significant importance for enhancing the work efficiency of robotic systems. In particular, when inadmissible island constraints are considered, existing approaches are typically offline. In ord

Externí odkaz: https://doaj.org/article/556ef51d17e34660a7914f335f0bc5ee

Явний розв'язок задачі швидкодії для одної нелінійної тривимірної системи

Autor: С. Ю. Ігнатович

Publikováno v: Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, Vol 83, Pp 21-46 (2016)

The time-optimal control problem for the system $\dot x_1=u$, $\dot x_2=x_1$, $\dot x_3=x_1^3$ is considered. Explicit formulas for finding optimal controls are given. The explicit solution of the optimal synthesis problem is obtained.

Externí odkaz: https://doaj.org/article/672cc3247b7247fb9b2b736c8358c891

A Time-Optimal Schedule for Processing Jobs with Possible Operation Preemptions as an Optimal Mixed Graph Coloring

Autor: Sotskov, Y.N.

This paper establishes a relationship between optimal scheduling problems with the minimum schedule length and the problems of finding optimal (strict) colorings of mixed graph vertices, i.e., assigning a minimal set of ordered colors to the vertices

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::bdb1272e2cbe7d8c24538a3663453038

Approximation of autonomous affine control systems in the sense of time optimality and algebraic approximation

Autor: S. Yu. Ignatovich

Publikováno v: Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, Vol 84, Pp 9–21-9–21 (2016)

In the paper conditions are given under which, for autonomous affine control systems, approximation in the sense of time optimality implies the algebraic approximation.

Externí odkaz: https://doaj.org/article/37f34a41bbac4fb1b7dd2c3dab0864f8

Tree-Search-Based Any-Time Time-Optimal Path-Constrained Trajectory Planning With Inadmissible Island Constraints

Autor: Xuebo Zhang, Peiyao Shen, Yongchun Fang

Publikováno v: IEEE Access, Vol 7, Pp 1040-1051 (2019)

Time-optimal path-constrained trajectory planning is of significant importance for enhancing the work efficiency of robotic systems. In particular, when inadmissible island constraints are considered, existing approaches are typically offline. In ord

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dd549f60a07d2ec782300f0022c74df1
https://ieeexplore.ieee.org/document/8572769/