Title :
Solving two-point boundary value problems in trajectory formation
Author :
Li, Hua ; Chen, Ching-Ho ; Lakhani, Gopal
Author_Institution :
Coll. of Eng., Texas Tech. Univ., Lubbock, TX, USA
Abstract :
An analog network which computes an optimal motion trajectory in real time under a two-point boundary condition is developed. The authors first describe a mathematical formulation using the theorems from the calculus of variation, then develop a method for mapping the problem to the spatial domain. Based on the mapping, building blocks and an analog network are developed. The network has many interconnected nodes operating concurrently in an asynchronous fashion. The energy equilibrium state of the network provides a solution to the boundary value problem
Keywords :
analogue simulation; boundary-value problems; neural nets; real-time systems; analog network; asynchronous concurrently operating interconnected nodes; building blocks; calculus of variation; energy equilibrium state; optimal motion trajectory; real-time computation; spatial domain; trajectory formation; two-point boundary value problems; Analog computers; Boundary conditions; Boundary value problems; Calculus; Computer networks; Differential equations; Distributed computing; Force; Fuels; Neural networks;
Conference_Titel :
Neural Networks, 1991., IJCNN-91-Seattle International Joint Conference on
Conference_Location :
Seattle, WA
Print_ISBN :
0-7803-0164-1
DOI :
10.1109/IJCNN.1991.155169