Mathematical equations

The Z transformation has many applications in Mathematics, especially in solving difference equations to help handle discrete data models. This article provides one more application of the Z transformation, which is the summation of a series.

6p viprimi 16-12-2024 0 0   Download

Lecture Control system design: Mathematical models of systems presents the following content: Differential equations of physical systems, linear approximations of physical systems, the laplace transform, the transfer function of linear systems, block diagram models, signal – flow graph models, the simulation of systems using control design software.

62p youcanletgo_04 17-01-2016 58 4   Download

Lecture "Fundamentals of control systems - Chapter 2: Mathematical models of continuous control systems" presentation of content: Presentation of content, transfer function, block diagram algebra, signal flow diagram, state space equation, linearized models of nonlinear systems.

120p doinhugiobay_17 04-03-2016 100 8   Download

The thesis "Stability of some classes of degenerate two-phase difference systems with delay" is to study the stability of degenerate two-phase systems with mixed delay in the direction of variation; Stability and dissipation in finite domain of degenerate 2-D system with variable delay; Evaluation of the gain set and control design for a degenerate 2-D system in the Roesser model with variable delay;... Please refer to it!

120p gaupanda019 21-03-2024 5 1   Download

The dissertation is divided into four chapters: Chapter 1 - Preliminaries; Chapter 2 - Lyapunov exponents for dynamic equations; Chapter 3 - Bohl exponents for implicit dynamic equations; Chapter 4 - Stability radius for implicit dynamic equations.

117p monsterhunterer 20-06-2021 19 2   Download

Structures of thesis: Chapter 1 - Preliminaries; Chapter 2 - Discrete data assimilation for the three-dimentional Leray-α model; Chapter 3 - Discrete data assimilation for the three-dimentional NavierStokes-α model; Chapter 4 - Abridged continuous data assimilation for the three-dimentional simplified Bardina model; Chapter 5 - Abridged data assimilation for the three-dimentional modified Leray-α.

26p tunelove 10-06-2021 21 3   Download

Research aims: This thesis is concerned with the stability of some classes of nonlinear time-delay systems in neural networks. Investigating the problem of stability of non-autonomous neural networks with heterogeneous time-varying delays in the effect of destablizing impulses. Stabilizing Hopfiled neural networks with proposition delays subject to stabilizing and destablizing impulsive effects simultaneously.

27p tunelove 10-06-2021 22 4   Download

Purpose: Study the existence of inertial manifolds and the asymptotic behavior of solutions to certain classes of evolution equations in an infinite-dimensional Banach space. The evolution equations considered with the linear parts is the generator of a semigroup and the Lipschitz coefficient of the nonlinear term may depend on time and belongs to admissible function spaces which contain wide classes of function spaces like Lp-spaces, the Lorentz spaces Lp,q and many other function spaces occurring in interpolation theory.

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Objectives: The main objective of this thesis is to study the problem of stability analysis and applications in control of discrete-time 2-D systems described by Roesser model with certain types of stochastic parameters. The research includes the methodology development and establishment of analysis and synthesis conditions of the following specified models.

120p thebadguys 08-06-2021 24 4   Download

The objectives of this dissertation are to study the asymptotic behavior of solutions of these nonlocal problems via the existence of (its finite dimensional) global attractors, and the existence and exponential stability of stationary solutions.

112p thebadguys 08-06-2021 19 3   Download

Objectives: The main objectives of this thesis is to study the problem of stability analysis and applications in control of discrete-time 2-D systems described by Roesser model with certain types of stochastic parameters. The research includes the methodology development and establishment of analysis and synthesis conditions of the following specified models.

27p thebadguys 08-06-2021 28 4   Download

The objectives of this dissertation are to study the asymptotic behavior of solutions of these nonlocal problems via existence of (its finite dimensional) global attractors, and the existence and exponential stability of stationary solutions.

25p thebadguys 08-06-2021 20 3   Download

Objectives: The aim of the thesis is to develop Mickens’ methodology to construct NSFD methods for solving some important classes of differential equations arising in fields of science and technology.

26p extraenglish 24-05-2021 22 3   Download

Research purposes: We consider some inverse source problems for parabolic equations, focus on three topics: First, we give stability estimates. Second, we propose regularization methods to solve these problems. Third, we set up algorithms and give numerical examples to illustrate the performance of the proposed regularization methods in this thesis.

26p prisonbreak123 21-05-2021 23 4   Download

Although the research direction on NSFD schemes for differential equations have achieved a lot ofresults shown by both quantity and quality of existing research works, real-world situations have always posednew complex problems in both qualitative study and numerical simulation aspects. On the other hand, there aremany differential models that have been established completely in the qualitative aspect but their correspondingdynamically consistent discrete models have not yet been proposed and studied

26p capheviahe29 17-03-2021 27 4   Download

The objective of the thesis is to develop the iterative method and combining it with other methods to study qualitative and especially the method of solving some two-point boundary problems for the fourth-order differential equations and systems, arising in beam bending theory without using condition of growth rate at infinity, Nagumo condition, etc. of the right-hand side function.

27p capheviahe27 23-02-2021 13 5   Download

The thesis proposes a simple but very effective method to study the unique solvability and an iterative method for solving five boundary value problems for nonlinear fourth order ordinary differential equations with different types of boundary conditions and two boundary value problems for a biharmonic equation and a biharmonic equation of Kirchhoff type by using the reduction of these problems to the operator equations for the function to be sought or an intermediate function.

27p larachdumlanat129 20-01-2021 29 3   Download

This article introduces a new resilience factor which is a function of energy dissipation factors of input seismic energy. Mathematical equations are presented for this factor and its limits are determined for different periods. The applicability of the proposed factor is also investigated for two typical structural examples.

10p tohitohi 19-05-2020 13 0   Download

An analytical and numerical solution is developed for a transient heat conduction equation in which a plane slab is heated by a bimodal distribution beam over the upper surface. In laser heat treatment of steel few methods are used to produce a wider and nearly uniform average irradiance profile.

8p tohitohi 19-05-2020 17 1   Download

The effects of mismatch parameters on isochromatic fringe patterns were studied using the technique of photoelasticity. First, the mathematical equations of isochromatic fringes were derived for singular stress field near a bi-material notch.

6p tohitohi 19-05-2020 8 0   Download