Results 101 to 110 of about 1,223,896 (216)

The Exact Solution of the Fractional Burger’s Equation using the Modified Homogeneous Balance Method

Scientific African
In this paper, the Modified Homogeneous Balance Method, which is embedded with a fractional Riccati equation, is used to find exact solutions to the fractional Burger’s equation.
Francis Tuffour, Benedict Barnes, Isaac Kwame Dontwi, Kwaku Forkuoh Darkwah   +3 more
doaj   +1 more source

Special solutions of the Riccati equation with applications to the Gross-Pitaevskii nonlinear PDE

Electronic Journal of Differential Equations, 2010
A method for finding solutions of the Riccati differential equation $y' = P(x) + Q(x)y + R(x)y^2$ is introduced. Provided that certain relations exist between the coefficient $P(x)$, $Q(x)$ and $R(x)$, the above equation can be solved in closed form.
Anas Al Bastami, Milivoj R. Belic, Nikola Z. Petrovic   +2 more
doaj  

The Open-Loop Linear Quadratic Differential Game Revisited [PDF]

In this note we reconsider the indefinite open-loop Nash linear quadratic differential game with an infinite planning horizon.In particular we derive both necessary and sufficient conditions under which the game will have a unique equilibrium.linear ...
Engwerda, J.C.
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On a degenerate Riccati equation [PDF]

, 2009
In this paper, we study the existence of solutions to a degenerate algebraic Riccati equation associated to an optimal control problem with infinite time horizon.
Raymond, Jean-Pierre, Kesavan, Srinivasan   +1 more
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Reduction of the Operator Riccati Equation

, 1975
The fundamental role of the Riccati equation for optimal control and optimal filtering of linear systems is well known. For linear distributed parameter systems it has been shown by J. L. Lions [8], and in several other papers, see e.g.
John Casti, Casti, J., Lennart Ljung, Ljung, L.   +3 more
core   +1 more source

Solutions of the time-independent Schrödinger equation by uniformization on the unit circle

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2019
The idea presented here of a general quantization rule for bound states is mainly based on the Riccati equation which is a result of the transformed, time-independent, one-dimensional Schrödinger equation.
Kazimierz Rajchel
doaj  

A Result on Output Feedback Linear Quadratic Control [PDF]

In this note we consider the static output feedback linear quadratic control problem.We present both necessary and sufficient conditions under which this problem has a solution in case the involved cost depend only on the output and control variables ...
Weeren, A.J.T.M., Engwerda, J.C.
core  

A Behavioral Approach to Passivity and Bounded Realness Preserving Balanced Truncation with Error Bounds

In this paper we revisit the problems of passivity and bounded realness preserving model reduction by balanced truncation. In the behavioral framework, these problems can be considered as special cases of balanced truncation of strictly half line ...
Trentelman, Harry L., Rapisarda, Paolo
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Riccati differential equations /

, 1972
Includes bibliographical references and index.Front Cover; Riccati Differential Equations; Copyright Page; Contents; Preface; Chapter One. Scalar Riccati Differential Equations; Chapter Two.
Reid, William T.(William Thomas),1907 October 4-1977.
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Algorithms for Computing Nash Equilibria in Deterministic LQ Games [PDF]

In this paper we review a number of algorithms to compute Nash equilibria in deterministic linear quadratic differential games.We will review the open-loop and feedback information case.In both cases we address both the finite and the infinite-planning ...
Engwerda, J.C.
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