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[PDF] Top 20 Linear and Riccati matrix equations

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Linear and Riccati matrix equations

Linear and Riccati matrix equations

... In this paper we find exact solutions for linear ordinary differential equations of any order when they are given in matrix form, as well as for classes of Riccati matrix equations with [r] ... See full document

6

On stability and state feedback stabilization of singular linear matrix difference equations

On stability and state feedback stabilization of singular linear matrix difference equations

... of linear singular discrete time systems whose coefficients are square constant matrices and the leading matrix coefficient is ...the matrix pencil of the system and we showed how the eigenvalues of ... See full document

20

On the Model Reduction of Discrete Time-Varying Systems

On the Model Reduction of Discrete Time-Varying Systems

... The proof of Theorem 2 is directly obtained from the proof of theorem 1 by setting C r ( k ) = I r . Thus the problem of optimum model reduction now simplified drastically to the solution of linear matrix ... See full document

6

An Approximate Analytical Solution of Higher-Order Linear Differential Equations with Variable Coefficients Using Improved Rational Chebyshev Collocation Method

An Approximate Analytical Solution of Higher-Order Linear Differential Equations with Variable Coefficients Using Improved Rational Chebyshev Collocation Method

... The organization of this paper is as follows. In Section 2, Preliminaries introduced while in Section 3 Properties of the rational Chebyshev (RC) functions are presented.. In Section 4, we formulated the fundamental ... See full document

8

Bernoulli operational matrix method for system of linear Volterra integral ‎equations

Bernoulli operational matrix method for system of linear Volterra integral ‎equations

... Elham Hashemizadeh obtained her Ph.D. degree in Applied Mathemat- ics in Numerical Analysis area in year 2012. She was top student in school and university. She ranked number one in M.Sc. and Ph.D. course in Is- lamic ... See full document

7

Solutions structure of integrable families of Riccati equations and their applications to the perturbed nonlinear fractional Schrodinger equation

Solutions structure of integrable families of Riccati equations and their applications to the perturbed nonlinear fractional Schrodinger equation

... general Riccati equation are not available, and only special cases can be treated ...inhomogeneous linear ODEs one needs only a particular solution to find the general ... See full document

15

Least Squares Solutions of Inconsistent Fuzzy
 Linear Matrix Equations

Least Squares Solutions of Inconsistent Fuzzy Linear Matrix Equations

... Remark 1 It is obvious, that if a fuzzy system equation AXB = C is consistent system, then the fuzzy least squares solutions for this equation are fuzzy vector solu- tion. So, there are satisfy in the AXB = C. But for a ... See full document

10

Ill-Posed and Linear Inverse Problems

Ill-Posed and Linear Inverse Problems

... In the previous section we present the regularization scheme for Fred- holm integral equation of the first kind. But we can use it for the discrete form of other equations that the matrix of linear ... See full document

8

Matrix method for solving linear complex vector functional equations

Matrix method for solving linear complex vector functional equations

... Suppose that (3.6) has a solution F and that C satisfies ACA + A = O. Then (AC + I)G = (AC + I)AF = (ACA + A)F = ᏻ , (3.8) that is, (3.2) must be satisfied. Conversely, let (3.2) hold for some cyclic matrix C. Then ... See full document

22

A Study of Solving Linear System of Equations by GAUSS-JORDAN Matrix Method-An Algorithmic Approach

A Study of Solving Linear System of Equations by GAUSS-JORDAN Matrix Method-An Algorithmic Approach

... of linear equations over an arbitrary field, using the Gauss- Jordan ...like linear equation, matrices and determinants ...solve linear equations with some examples this will be useful ... See full document

8

Hermite Matrix Polynomial Collocation Method for Linear Complex Differential Equations and Some Comparisons

Hermite Matrix Polynomial Collocation Method for Linear Complex Differential Equations and Some Comparisons

... differential equations and their solutions play a major role in science and ...differential equations. Since a few of these equations cannot be solved explic- itly, it is often necessary to resort to ... See full document

7

Pick matrix conditions for sign definite solutions of the algebraic Riccati equation

Pick matrix conditions for sign definite solutions of the algebraic Riccati equation

... In many modeling and control problems it is necessary to study certain function- als of the system variables and their derivatives. In the context of linear systems these functionals are often taken to be ... See full document

23

On the Mortality Problem: from multiplicative matrix equations to linear recurrence sequences and beyond

On the Mortality Problem: from multiplicative matrix equations to linear recurrence sequences and beyond

... In this paper, we prove the first decidability results for t > 2. We show as one of our central results that for t = 3 this problem in any dimension is Turing equivalent to the well-known Skolem problem for ... See full document

19

An Effective Perturbation Iteration Algorithm for Solving Riccati Differential Equations

An Effective Perturbation Iteration Algorithm for Solving Riccati Differential Equations

... by software Mathematica 9.0. Unlike the Adomian Decompostion Method, the Perturbation Iteration Algorithm P IA is independent of Adomian polynomials. While using this technique we have no requirement of the Lagrange ... See full document

5

Trace Inequalities for Matrix Products and Trace Bounds for the Solution of the Algebraic Riccati Equations

Trace Inequalities for Matrix Products and Trace Bounds for the Solution of the Algebraic Riccati Equations

... diagonalizable matrix decomposition and majorization inequalities, we propose new trace bounds for the product of two real square matrices in which one is ...algebraic Riccati equations, which ... See full document

17

Sine cosine wavelet operational matrix of fractional order integration and its applications in solving the fractional order Riccati differential equations

Sine cosine wavelet operational matrix of fractional order integration and its applications in solving the fractional order Riccati differential equations

... When α = , equation () is a classical Riccati equation, which have been studied by using ADM, VIM, HPM, MHPM and NHPM. Figure  shows the exact solution and ap- proximate solutions obtained by ADM, VIM, HPM, ... See full document

16

Nonlinear differential equations and algebraic systems

Nonlinear differential equations and algebraic systems

... We present a unified treatment for the general scalar, first-order, ordinary differential equation... Particular examples are linear equations, Riccati equations and Abel equations..[r] ... See full document

11

Linearized Riccati Technique and (Non )Oscillation Criteria for Half Linear Difference Equations

Linearized Riccati Technique and (Non )Oscillation Criteria for Half Linear Difference Equations

... a linear second-order difference equation and we show that oscillatory properties of the above- mentioned one can be investigated using properties of this associated linear ...certain Riccati-type ... See full document

18

Riccati equations for strongly stabilizable bounded linear systems

Riccati equations for strongly stabilizable bounded linear systems

... Under these assumptions, the coercivity assumption (19) is automatically satised. Hence, by part 2 of Theorem 4.2 the Riccati equation (32) has a unique self-adjoint, strongly stabilizing solution. This case was ... See full document

26

Differential inequalities and the matrix Riccati equation

Differential inequalities and the matrix Riccati equation

... symmetric matrix systems of differential equations and specifically to the matrix Riccati ...differential equations in a matrix form, symmetric or otherwise, adds nothing new ... See full document

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