11/22/2023 0 Comments Cadzow discrete calculus of variationsFrom 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. Department of Electrical and Computer Engineering and the Coordinated Science Laboratory, University of Illinois, Urbana. Automated planning and scheduling using calculus of variations in discrete space. These equations describe the dynamics of a constrained Lagrangian system when the Lagrangian function and the constraints depend on higher-order derivatives such as the acceleration, jerk or jounces. Besides, we demand that the displacement should be invariant under the pseudo-translation. Automated planning and scheduling using calculus of variations in discrete space Article. By introducing a discrete connection we are able to obtain the discrete constrained higher-order Lagrange-Poincaré equations. Using this we consider a special type of the non-uniform discrete times with the pseudo-translation symmetry. Discrete calculus of variations International Journal of Control. 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. Solution of an Optimization Problem for Linear Discrete Systems through Ordinary Calculus Ieee Transactions On Automatic Control. Pseudo-Multiplication, Pseudo-Addition, Pseudo-Translation Symmetry, Pseudo-Linear Pseudo-Linear Mechanics with Pseudo-Translation SymmetryĪUTHORS: Wonsang Chung, Yeounju Kim, Seohyeon Kim, Jeongmin Kwon International Journal of Control, 11, 393-407.
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