Results 131 to 140 of about 4,737,365 (276)

Riccati-type equations, generalised WZNW equations, and multidimensional Toda systems

, 1999
We associate to an arbitrary Z-gradation of the Lie algebra of a Lie group a system of Riccati-type first order differential equations. The particular cases under consideration are the ordinary Riccati and the matrix Riccati equations.
Gomes, J. F., Saveliev, M. V., Zimerman, A. H., Razumov, A. V., Ferreira, L. A.   +4 more
core   +1 more source

General Solution of the Riccati Equation

, 2022
Abstract By introducing an intermediate transition function, without any constraints, the general solution with multiple constant parameters to the Riccati equation is obtained by hypothesizing, which covers the solutions of second-order Bernoulli equation and first-order linear differential equation as its special cases.
openaire   +1 more source

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  

Meromorphic solutions to difference Painleve equations I and II

Electronic Journal of Differential Equations, 2016
In this article, we study the solutions of difference Painleve equations I and II. to do this, we first give some properties of solutions to difference Riccati equations.
Zhi-Tao Wen
doaj  

Shifted Riccati Procedure: Application to Conformal Barotropic FRW Cosmologies

Symmetry, Integrability and Geometry: Methods and Applications, 2011
In the case of barotropic FRW cosmologies, the Hubble parameter in conformal time is the solution of a simple Riccati equation of constant coefficients.
Haret C. Rosu, Kira V. Khmelnytskaya
doaj   +1 more source

Global solvability criteria for matrix Riccati equations

, 2022
A new approach is used to obtain a global solvability criterion for matrix Riccati equations. It is shown that the obtained result is an extension of a result derived from a comparison theorem for matrix Riccati equations. Two corollaries were drawn from
Grigorian, G. A.
core  

Kamenev-type oscillation criteria for forced Emden-Fowler superlinear difference equations

Electronic Journal of Differential Equations, 2002
Using Riccati transformation techniques, we establish oscillation criteria for forced second-order Emden-Fowler superlinear difference equations. Our criteria are discrete analogues of the criteria used for differential equations by Kamanev [5].
Samir H. Saker
doaj  

Feedback Nash Equilibria for Linear Quadratic Descriptor Differential Games [PDF]

In this note we consider the non-cooperative linear feedback Nash quadratic differential game with an infinite planning horizon for descriptor systems of index one. The performance function is assumed to be indefinite.
Salmah, Y., Engwerda, J.C.
core  

On the Solution of Large-Scale Algebraic Riccati Equations by Using Low-Dimensional Invariant Subspaces

, 2016
P. Benner, Zvonimir Bujanovic
semanticscholar   +1 more source

Low-Rank Second-Order Splitting of Large-Scale Differential Riccati Equations

IEEE Transactions on Automatic Control, 2015
Tony Stillfjord
semanticscholar   +1 more source