Formal Development of Non-recursive Algorithm for L-system Based Koch Curve

2012 ◽  
Author(s):  
Zhu Wei ◽  
Liu Run-Jie ◽  
Shen Jin-Yuan ◽  
Mu Wei-Xin
Keyword(s):  
Recursive Algorithm ◽  
Koch Curve ◽  
Formal Development ◽  
L System

scholarly journals The construction of the Koch curve (n,c) using L-system

2019 ◽  
Author(s):  
Kosala Dwidja Purnomo ◽  
Nanda Puspa Winda Sari ◽  
Firdaus Ubaidillah ◽  
Ika Hesti Agustin
Keyword(s):  
Koch Curve ◽  
L System

Optimal Land Use Analysis Using Lindenmayer Grammars

2013 ◽  
Vol 8 (2) ◽  
pp. 163-175
Author(s):  
Urszula Żukowska ◽  
Grażyna Kalewska
Keyword(s):  
Land Use ◽  
Urban Development ◽  
Computer Program ◽  
L System ◽  
L Systems ◽  
The City

In today's world, when it is so important to use every piece of land for a particular purpose, both economically and ecologically, identifying optimal land use is a key issue. For this reason, an analysis of the optimal land use in a section of the city of Olsztyn, using the L-system Urban Development computer program, was chosen as the aim of this paper. The program uses the theories of L-systems and the cartographic method to obtain results in the form of sequences of productions or maps. For this reason, the first chapters outline both theories, i.e. the cartographic method to identify optimal land use and Lindenmayer grammars (called L-systems). An analysis based on a fragment of the map of Olsztyn was then carried out. Two functions were selected for the analysis: agricultural and forest-industrial. The results are presented as maps and sequences in individual steps.

LMI-based hybrid temporal-spatial differential control design for a class of Euler-Bernoulli beam system

2021 ◽  
pp. 095440622110036
Author(s):  
Jiaqi Zhong ◽  
Xiaolei Chen ◽  
Yupeng Yuan ◽  
Jiajia Tan
Keyword(s):  
Vibration Suppression ◽  
Direct Method ◽  
Recursive Algorithm ◽  
Linear Matrix ◽  
Bernoulli Beam ◽  
Hybrid Controller ◽  
Beam System ◽  
Active Vibration ◽  
Differential Control ◽  
Euler Bernoulli Beam

This paper addresses the problem of active vibration suppression for a class of Euler-Bernoulli beam system. The objective of this paper is to design a hybrid temporal-spatial differential controller, which is involved with the in-domain and boundary actuators, such that the closed-loop system is stable. The Lyapunov’s direct method is employed to derive the sufficient condition, which not only can guarantee the stabilization of system, but also can improve the spatial cooperation of actuators. In the framework of the linear matrix inequalities (LMIs) technology, the gain matrices of hybrid controller can obtained by developing a recursive algorithm. Finally, the effectiveness of the proposed methodology is demonstrated by applying a numerical simulation.

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