Riccati Matrix Differential Equation
A Discrete-Time Algorithm for the Resolution of the Nonlinear Riccati Matrix Differential Equation for the Optimal Control
... the Riccati Matrix Differential Equation, which is in the general case ...this equation is in fact very difficult to ...this equation in the cases of constant solution, or in the ...
6
Differential inequalities and the matrix Riccati equation
... constant matrix) shares them» Any one of a), b), c) would suffice to define principal solutions; we use c) and note that the property of being a principal solution at a is a local one, and once defined, the ...
148
A Discrete-Time Quasi-Theoretical Solution of the Modified Riccati Matrix Algebraic Equation
... control matrix, which is practically and optimally reduce the effect of the signals for which the systems are ...the Riccati matrix equation is appear clarify in the literature since decades, ...
6
Fractional order Riccati differential equation: Analytical approximation and numerical results
... Many physical problems are governed by fractional differential equations (FDEs), and finding the solution of these equations have been the subject of many investigations in recent years. Recently, there have been a number ...
16
Analytical Solutions of the Riccati Equation with Coefficients Satisfying Integral or Differential Conditions with Arbitrary Functions
... the Riccati equation, the general solution of the Riccati equation (1), cannot be easily ...the Riccati equation has been presented in ...Taylor matrix method and Legendre ...
10
Unconditionally stable scheme for Riccati equation
... the Riccati equation associated with the control problem (1) (2) (3) ...of differential system (9) ...the matrix A is an n by n matrix without any other condition and the unknown ...
14
Application of fractional-order Bernoulli functions for solving fractional Riccati differential equation
... fractional differential equa- tions, fractional integro-differential equations, fractional partial differential equations and dynamic systems containing fractional derivatives, such as Adomian’s ...
16
Numerical solution of fractional order Riccati differential equation by differential quadrature method based on Chebyshev polynomials
... coefficient matrix for approximation of fractional derivatives has been ...The matrix is used to get approximate numerical solu- tions of fractional Riccati differential ...
13
Boundary Value Problem for an Operator Differential Riccati Equation in the Hilbert Space on the Interval
... Riccati equation plays an important role in the theory of optimal control, physics and many others ...considering equation was investigated in the finite- dimensional and in the infinite-dimensional ...
9
Sine cosine wavelet operational matrix of fractional order integration and its applications in solving the fractional order Riccati differential equations
... , equation () is a classical Riccati equation, which have been studied by using ADM, VIM, HPM, MHPM and ...nonlinear Riccati differential equation in a very wider ...
16
Solving Differential Equations Using Modified VIM
... In this paper a modification of He’s variational iteration method (VIM) has been employed to solve Duffing and Riccati equations. Sometimes, it is not easy or even impossible, to obtain the first few iterations of ...
5
Linear quadratic gaussian (LQG) controller design for servo motor
... Figure 2.4 show the operation of Kalman filter. The operation can be described in two terms which are time update equations and measurement update equations.The time update equations are to update the current error ...
42
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] ...
11
ON FUNDAMENTAL SOLUTION FOR AUTONOMOUS LINEAR RETARDED FUNCTIONAL DIFFERENTIAL EQUATIONS
... Dirac delta function, and A(s) is an integrable n × n matrix function on the interval [0, a]. Consequently, in terms of the Radon-Nikodym theorem, A(ds) has an absolutely continuous part A(s), a discrete singular ...
34
Integrability of doubly periodic Riccati equation
... This completes the proof The discussion of the particular doubly periodic Riccati equation 1 can be extended to a more general case, that is, for any Riccati equation with elliptic funct[r] ...
6
Perturbation analysis of the stochastic algebraic Riccati equation
... Hamiltonian matrix (or symplectic matrix pen- ...Hamiltonian matrix (or symplectic matrix pencil) by special orthogonal transformations in the whole computational process, are considered by ...
22
On solutions of fractional Riccati differential equations
... Fractional Riccati differential equations arise in many fields, although discussions on the numerical methods for these equations are ...fractional Riccati differential ...fractional Riccati differential ...
10
Solution of fuzzy differential equations
... T h by Dubois and Prade [8] who used the ex- e concept of fuzzy derivative was introduced tension principle in their approach. Other meth- ods have been discussed by Puri and Ralescu [22] and by Goetschel and Voxman [9]. ...
8
Nonlinear observer-based fault detection and isolation for wind turbines
... In practice, it was insufficient to identify faults based on residual curves because the system was non-linear, and it worked at different operating points; it was necessary to design a dynamic threshold for each sensor ...
6
Existance theroms for the matrix Riccati equation W′+WP(t)W+Q(t)=0
... Sufficient conditions are established for the matrix Riccati equa-.. tion to have a symmetric solution on a given interval..[r] ...
7