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Optimal State Controller and Riccati Equation Solution
There are discussed classical methods of optimal control with using Riccati differential equation and a non-classical method based on spline functions. For classical solution it is shown how to solve the Riccati eq...
BC - Teorie a systémy řízení
- 2000 •
- D
Rok uplatnění
D - Stať ve sborníku
Implicit Riccati equations and quadratic functionals for discrete symplectic systems
of the nonaugmented Riccati operator. The method also allows to simplify implicit RiccatiIn this paper we study discrete (implicit) Riccati matrix equations associated. We derive these Riccati equations f...
BA - Obecná matematika
- 2006 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Optimal State Controller and Analytical Solution of Riccati Equation
There are discussed some classical methods of optimal control with using the Riccati differential equation in this paper. The classical solution can be solved analytically, but this fact is not sufficiently known to technical commun...
JD - Využití počítačů, robotika a její aplikace
- 2005 •
- A
Rok uplatnění
A - Audiovizuální tvorba
Adapted Riccati technique and non-oscillation of linear and half-linear equations
The aim of this paper is to mention a generalization of the adapted Riccati equation and, using this method, to prove a non-oscillatory result concerning half-linear differential equations with coefficients having mean values. Note ...
Applied mathematics
- 2018 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
A Riccati technique for proving oscillation of a half-linear equation
In this paper we study the oscillation of solutions to the half-linear differential equation. Our main tool is a Riccati type transformation for using the so called "function sequence technique". This method leads to new and to know...
BA - Obecná matematika
- 2008 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Riccati transformation and non-oscillation criterion for linear difference equations
We consider a general class of linear difference equations. Using a variation of the discrete Riccati method, we obtain a straightforward non-oscillation criterion for the treated equations. In contrast to a number of known criteria...
Pure mathematics
- 2020 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Nonoscillation criteria for half-linear second order difference equations
New oscillation and nonoscillation criteria for half-liear second order difference equations are proved using the Riccati technique and variational principle....
BA - Obecná matematika
- 2001 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
The Algebraic Riccati Equation for Quaternions.
We will present the general solution of the algebraic Riccati equation for the quaternionic case, where also one additional variation is treated. For computational purpose a very simple form of the exact Jacobi matrix for Riccati po...
BA - Obecná matematika
- 2013 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Riccati Equations and Their Solutions
The use of Riccati differential equations in optimal control and filtering problems.
BC - Teorie a systémy řízení
- 2011 •
- C
Rok uplatnění
C - Kapitola v odborné knize
Equivalence problem and integrability of the Riccati equations
We consider the class of general real Riccati equations and find its Lie group of equivalence transformations. Using the Lie algebra of this Lie group and its invariants we formulate criteria of equivalence of the Riccati equations....
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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