![]() From these, we obtain the new definition of the instantaneous velocity which is pseudo-translation symmetry in both time and position and formulate the mechanics which are pseudo-linear and pseudo-translation invariant. The intent of this paper is to show that first integrals of the discrete Euler equation can be deter- mined explicitly by investigating the invariance. Calculus of Variations in Discrete Space for Constrained Nonlinear Dynamic Optimization ICTAI '02: Proceedings of the 14th IEEE International Conference on Tools with Artificial Intelligence In this paper, we propose new dominance relations that can speed up significantly the solution process of nonlinear constrained dynamic optimization. Besides, we demand that the displacement should be invariant under the pseudo-translation. Using this we consider a special type of the non-uniform discrete times with the pseudo-translation symmetry. Speci cally,Cadzow1970 developed a discrete calculus of variations theory in the following way: A function is introduced which depends on a sequence of numbers, e.g. ![]() ![]() Journal of Applied Mathematics and Physics,ĪBSTRACT: In this paper, we will consider the simplest pseudo-addition where pseudo-multiplication and pseudo-division are the same as the ordinary ones and distributivity hold. Pseudo-Multiplication, Pseudo-Addition, Pseudo-Translation Symmetry, Pseudo-Linear Then, we deduce the discrete Euler-Lagrange equations for critical points of. A., Discrete calculus of variations, International Journal of Control, vol. ![]() We introduce first the generalized scale derivatives, study their regularity and state some Leibniz formulas. Pseudo-Linear Mechanics with Pseudo-Translation SymmetryĪUTHORS: Wonsang Chung, Yeounju Kim, Seohyeon Kim, Jeongmin Kwon The intent of this paper is to develop a framework for discrete calculus of variations with action densities involving a new class of discretization operators. Cadzow5 motivated and discussed discrete calculus of variations and obtained the discrete EulerLagrange equations. International Journal of Control, 11, 393-407. ![]()
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |