Results 31 to 40 of about 31,256 (206)

Riccati equations [PDF]

International Journal of Mathematics and Mathematical Sciences, 1987
In this paper we find closed form solutions of some Riccati equations. Attention is restricted to the scalar as opposed to the matrix case. However, the ones considered have important applications to mathematics and the sciences, mostly in the form of the linear second‐order ordinary differential equations which are solved herewith.
openaire   +2 more sources

Construction of Minimax Control for Almost Conservative Controlled Dynamic Systems with the Limited Perturbations [PDF]

, 2017
The problem is considered for constructing a minimax control for a linear stationary controlled dynamical almost conservative system (a conservative system with a weakly perturbed coefficient matrix) on which an unknown perturbation with bounded energy ...
Svyatovets, I. (Iryna)
core   +2 more sources

ON THE FRACTIONAL RICCATI DIFFERENTIAL EQUATION [PDF]

International Journal of Pure and Apllied Mathematics, 2016
In this paper, We tried to find an analytical solution of nonlinear Riccati conformable fractional differential equation. Fractional derivatives are described in the conformable derivative. The behavior of the solutions and the effects of different values of fractional order ? are presented graphically and table.
Hanalioğlu (Khaniyev), Tahir, Merdan, M.   +1 more
openaire   +2 more sources

On a complex differential Riccati equation [PDF]

, 2007
We consider a nonlinear partial differential equation for complex-valued functions which is related to the two-dimensional stationary Schrodinger equation and enjoys many properties similar to those of the ordinary differential Riccati equation as, e.g.,
Bernstein S, Bernstein S, Bers L, Bogdanov Y, Davis H, De Schepper N Peña D Brackx F, Hille E, Kamke E, Kira V Khmelnytskaya, Kravchenko V G, Kravchenko V G, Kravchenko V V, Kravchenko V V, Kravchenko V V, Kravchenko V V, Kravchenko V V, Kravchenko V V, Marchenko V, Matveev V, Mielnik B, Mielnik B, Novikov S P, Reid W, Samsonov B F, Tutschke W, Vekua I N, Vekua I N, Vladislav V Kravchenko, Watson G A   +28 more
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Solutions for certain classes of Riccati differential equation

, 2007
We derive some analytic closed-form solutions for a class of Riccati equation y'(x)-\lambda_0(x)y(x)\pm y^2(x)=\pm s_0(x), where \lambda_0(x), s_0(x) are C^{\infty}-functions.
Ciftci H, Haaheim D R, Hakan Ciftci, Ince E L, Kamke E, Murphy G M, Nasser Saad, Polyanin A D, Prudnikov A P, Richard L Hall, Saad N   +10 more
core   +1 more source

Nonrecursive solution for the discrete algebraic Riccati equation and X + A*X-1A=L

Open Mathematics, 2015
In this paper, we present two new algebraic algorithms for the solution of the discrete algebraic Riccati equation. The first algorithm requires the nonsingularity of the transition matrix and is based on the solution of a standard eigenvalue problem for
Adam Maria, Assimakis Nicholas
doaj   +1 more source

Some Uniqueness Results of the Solutions for Two Kinds of Riccati Equations with Variable Fractional Derivative

Journal of Function Spaces, 2022
We mainly discuss the relevant properties of the solution of the Riccati equation in this paper. By virtue of our previous derivation, we will give several uniqueness conclusions that the initial value problems of some kinds of the Riccati equation with ...
Shi-you Lin, Li-sha Chen, Bo-yang Li
doaj   +1 more source

A reduction technique for Generalised Riccati Difference Equations [PDF]

, 2013
This paper proposes a reduction technique for the generalised Riccati difference equation arising in optimal control and optimal filtering. This technique relies on a study on the generalised discrete algebraic Riccati equation.
Ferrante, Augusto, Ntogramatzidis, Lorenzo   +1 more
core  

Efficient Solution of Large-Scale Algebraic Riccati Equations Associated with Index-2 DAEs via the Inexact Low-Rank Newton-ADI Method

, 2019
This paper extends the algorithm of Benner, Heinkenschloss, Saak, and Weichelt: An inexact low-rank Newton-ADI method for large-scale algebraic Riccati equations, Applied Numerical Mathematics Vol.~108 (2016), pp.~125--142, doi:10.1016/j.apnum.2016.05 ...
Benner, Peter, Heinkenschloss, Matthias, Saak, Jens, Weichelt, Heiko K.   +3 more
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A State‐Adaptive Koopman Control Framework for Real‐Time Deformable Tool Manipulation in Robotic Environmental Swabbing

Advanced Robotics Research, EarlyView.
This work presents a state‐adaptive Koopman linear quadratic regulator framework for real‐time manipulation of a deformable swab tool in robotic environmental sampling. By combining Koopman linearization, tactile sensing, and centroid‐based force regulation, the system maintains stable contact forces and high coverage across flat and inclined surfaces.
Siavash Mahmoudi, Amirreza Davar, Dongyi Wang   +2 more
wiley   +1 more source