Solving linear systems

In this paper, the authors present a method to solve these problems. Wherein, the motion of targets is represented in the mixed coordinate system 3D base on combining PHD (Probability Hypothesis Density) and JPDA (Joint Probability Data Association). This method can track multiple targets in the most general case, that is to change the target number, system model and measurement model which is non-linear as the noise is non-Gaussian.

9p viambani 18-06-2024 3 1   Download

This research is motivated by a linear equations system, which is the basis for studying necessary linear algebra materials, such as rank, range, linear independent/dependent, linear transformations, characteristic values and vectors. There are still prospective mathematics teachers who have difficulty solving linear equations system and understanding the form of row echelon and reduced row echelon forms.

14p viarnault 25-04-2024 2 1   Download

This paper concerns a problem of finite-time stability for a class of linear singular large-scale systems with delays. Based on matrix transformations, Lyapunov function method combined with new estimation techniques, we derive sufficient conditions for solving the finite-time stability of the system. A numerical example is given to illustrate the validity and effectiveness of the theoretical results.

11p vijaychest 24-04-2024 7 2   Download

Part 2 book "Nonlinear systems and optimization for the chemical engineer - Solving numerical problems" includes content: Nonlinear systems, underdimensioned nonlinear systems, constrained minimization, linear programming, quadratic programming, constrained minimization - penalty and barrier functions, constrained minimization - active set methods, parametric continuation in optimization and process control.

268p muasambanhan09 04-03-2024 3 0   Download

Part 1 book "Chemical and biomedical engineering calculations using python" includes content: Problem solving in engineering, programming with python, programming basics, external libraries for engineering, symbolic mathematics, linear systems.

130p muasambanhan08 01-03-2024 6 1   Download

Ebook 501 Algebra questions: Part 2 includes contents: Chapter 8 graphing linear equations, chapter 9 solving inequalities, chapter 10 graphing inequalities, chapter 11 graphing systems of linear equations and inequalities, chapter 12 solving systems of equations algebraically, chapter 13 working with exponents, chapter 14 multiplying polynomials, chapter 15 factoring polynomials, chapter 16 using factoring, chapter 17 solving quadratic equations, chapter 18 simplifying radicals, chapter 19 solving radical equations, chapter 20 solving equations with the quadratic formula.

191p haojiubujain03 09-08-2023 8 7   Download

Ebook "Numerical methods and optimization: A consumer guide" makes it possible for the reader to discover how to escape the dictatorship of those particular cases that are simple enough to receive a closed-form solution, and thus gain the ability to solve complex, real-life problems; understand the principles behind recognized algorithms used in state-of-the-art numerical software; learn the advantages and limitations of these algorithms, to facilitate the choice of which pre-existing bricks to assemble for solving a given problem; and acquire methods that allow a critical assessment of num...

485p tukhongthienlac 24-06-2023 8 2   Download

The nonlinear kinematic wave model is developed from the Saint Venant system of equations, which includes a nonlinear kinematic wave program that solves the system of equations by Newton's iterative method and a linear kinematic wave program for calculations initial flow value. The developed model is tested with sample problems and compared with the simulation results by Mike 11 model on Tra Khuc river.

13p viironman 02-06-2023 7 3   Download

Most kinds of robots in researches are in solid structures. In these models, Euler-Lagrange method is easily used to obtain dynamic equations for simulation and obtaining controllers. But, actually, there is always flexibility - even very small or remarkable – in all kinds of robots. This research solves a problem in modelling a complex robot with a flexible link-flexible inverted pendulum- by presenting a method to simplify that robot.

8p vidoctorstrange 06-05-2023 6 4   Download

Part 2 of book "Parallel Programming in C with MPI and OpenMP" provide with knowledge about: Monte Carlo methods; matrix multiplication; solving linear systems; finite difference methods; sorting; the past fourier transform; combinatorial search; shared-memory programming; combining MPI and openMP;...

281p britaikridanik 05-07-2022 11 2   Download

This paper concerns with a problem of supoptimal finite-time control for a class of linear large-scale delay systems. The system under consideration is subjected to the state and control delays interacted between subsystems. Based on improved LMI approach combining with new estimation techniques, we derive sufficient conditions for solving H∞ finite-time control and guaranteed cost control of the system. A numerical example is given to illustrate the validity and effectiveness of the theoretical results.

15p spiritedaway36 25-11-2021 13 1   Download

This report presents the results on the modeling and optimization the systems of two buoys for wave energy converter. The first is a floater. The second is a semi-submerged body. The energy is converted from the relative motion between the two buoys by the linear generator. For simulation in three dimensions, the system of equations (6 modes of motions) has been obtained. The governing equations are solved by ANSYS AQWA software and Matlab tools.

6p parasite 07-06-2021 17 2   Download

In the mechanisms and machines operating at high speeds, the elastic vibration of links is inevitable. In this paper the dynamic modeling and controller design for a flexible four-bar mechanism are studied. The fully coupled non-linear equations of motion are obtained by using the Lagrange’s equations with multipliers for constrained multibody systems. The resulting differential-algebraic equations are solved using numerical methods. A simple PD controller is designed to reduce the influence of the elastic link on the desired motion.

5p cothumenhmong11 10-05-2021 22 3   Download

An Interior-point algorithm with a line-search globalization is proposed for solving the general nonlinear programming problem. At each iteration, the search direction is obtained as a resultant of two orthogonal vectors. They are obtained by solving two square linear systems. An upper-triangular linear system is solved to obtain the Lagrange multiplier vector. The three systems that must be solved each iteration are reduced systems obtained using the projected Hessian technique. This fits well for large-scale problems.

16p nguaconbaynhay11 07-04-2021 14 1   Download

The paper shows that the response of the random Rayleigh system, which is under harmonic and random excitations, can be found by a system of algebraic equations. The analytical approach is based on the stochastic averaging method and equivalent linearization method in Cartesian coordinates so that the Fokker-Planck equation associated with the linear equations obtained can be solved exactly by the technique of auxiliary function. The harmonic excitation frequency is taken to be in the neighborhood of the system natural frequency.

11p trinhthamhodang9 10-12-2020 21 1   Download

The alignment of protein-protein interaction networks was recently formulated as an integer quadratic programming problem, along with a linearization that can be solved by integer linear programming software tools.

14p vikentucky2711 24-11-2020 14 1   Download

The following will be discussed in this chapter: LMMSE estimator: first step (obtaining unbiasedness), LMMSE estimator: second step (solve reduced problem), LMMSE estimator as projection, putting it all together, orthogonality relations, extension to multivariate case,...

9p nanhankhuoctai3 25-05-2020 10 1   Download

In this paper, we investigate the problem of finite-time guaranteed cost control of linear uncertain conformable fractional order systems. Firstly, a new cost function is defined. Then, by using some properties of conformable fractional calculus, some new sufficient conditions for the design of a state feedback controller that makes the closed-loop systems finite-time stable and guarantees an adequate cost level of performance is derived via linear matrix inequalities, therefore can be efficiently solved by using existing convex algorithms.

7p mangamanga 29-02-2020 25 0   Download

Multivariate Curve Resolution with Alternating Least Squares (MCR-ALS) is a curve resolution method based on a bilinear model which assumes that the observed spectra are a linear combination of the spectra of the pure components in the system. The algorithm steps include the determination of the number of components by rank analysis methods, initial estimates for the concentrations and/or spectra and an iterative optimization. Sometimes, suitable results may not be achieved when MCR-ALS is applied. One reason for this is the importance of the initial estimates of the spectral profiles.

8p kequaidan1 16-11-2019 16 0   Download

Two families of certain nonsymmetric generalized Jacobi polynomials with negative integer indexes are employed for solving third- and fifth-order two point boundary value problems governed by homogeneous and nonhomogeneous boundary conditions using a dual Petrov–Galerkin method. The idea behind our method is to use trial functions satisfying the underlying boundary conditions of the differential equations and the test functions satisfying the dual boundary conditions.

14p trinhthamhodang1 16-11-2019 16 1   Download