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Showing 1 to 6 of 6 for “"Boundary Value Problem (BVP)"”.
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Development of a nonlinear predictive control algorithm and its application to flotation
… of a method of solving nonlinear optimal control problems. This method is then used to solve the underlying optimal control problems. This method is then used to solve the underlying optimal control problem in a nonliear model predictive control (NMPC) strategy. By way of a case study, and to …
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A new numerical method for the problem of nonlinear long-short wave interactions
… of a new numerical method to address the problem of nonlinear interactions of free-surface gravity waves. More specifically, this study addresses the case of wave interactions of short waves ridding on longer waves up to second order of nonlinearity M. The study of the nonlinear …
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Analytical and Computational Tools for the Study of Grazing Bifurcations of Periodic Orbits and Invariant Tori
… dynamical systems. Here, we present a general boundary value problem (BVP) approach to locate periodic trajectories corresponding to a hybrid dynamical system under parameter variations. A methodology to compute the eigenvalues of periodic trajectories when using the BVP formulation is …
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A mathematical model of wheelchair racing
… a second-order, nonlinear ordinary boundary value problem (BVP). Numerical methods are used to solve the BVPs independently, resulting in velocity discontinuities at the phase boundaries. These instantaneous velocity increases or decreases must be caused by impulsive forces. In turn, …
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Geometrical Investigation on Escape Dynamics in the Presence of Dissipative and Gyroscopic Forces
… on the linearized dynamics, we find that the boundary of the initial conditions of a given energy for the trajectories that transit from one side of a saddle to the other is a cylinder and ellipsoid in the conservative and dissipative systems, respectively. Compared to the linear systems, it …
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Modeling, Simulation, and Analysis of Micromechanical Filters Coupled with Capacitive Transducers
… of two beams coupled by a weak beam. We solve a boundary-value problem (BVP) composed of five equations and twenty boundary conditions for the natural frequencies and mode shapes. We reduce the problem to a set of three linear homogeneous algebraic equations for three constants and the …