Results 171 to 180 of about 1,692 (206)

A Multilevel Technique for the Approximate Solution of Operator Lyapunov and Algebraic Riccati Equations

SIAM Journal on Numerical Analysis, 1995
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I G Rosen, Chunming Wang
exaly   +2 more sources

The analysis of the parameter involving in the shift technique for nonsymmetric algebraic Riccati equations

2011 International Conference on Multimedia Technology, 2011
The minimal positive solution of nonsymmetric algebraic Riccati equations arising from transport theory, can be obtained by computing the one of two vector equations. Some existing methods such as simple iteration method, converge slowly in the singular case, but this drawback can be improved with the shift technique.
exaly   +2 more sources

On an iterative technique for Riccati equation computations

IEEE Transactions on Automatic Control, 1968
D Kleinman
exaly   +2 more sources

The shift techniques for a nonsymmetric algebraic Riccati equation

Applied Mathematics and Computation, 2013
In this paper, we want to analyze a special instance of a nonsymmetric algebraic matrix Riccati equation arising from transport theory. Traditional approaches for finding its minimal nonnegative solution are based on fixed point iterations and the speed of the convergence is linear.
Matthew M. Lin, Chun-Yueh Chiang
openaire   +1 more source

Distributed Optimization Design of Iterative Refinement Technique for Algebraic Riccati Equations

IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2022
This article focuses on the problem of a distributed computation of continuous-time algebraic Riccati equations (CARE), where information of matrices is split and known by multiple agents. This article proposes a distributed optimization design of the iterative refinement technique (IRM), a well-established centralized method for CARE. By assuming that
Xianlin Zeng, Jie Chen 0003, Yiguang Hong   +2 more
openaire   +1 more source

Fake algebraic Riccati techniques and stability

IEEE Transactions on Automatic Control, 1988
Summary: Conditions, sufficient and necessary, for monotonic behaviour of the solutions of the Riccati differential equation and Riccati difference equation are derived. For the optimal filtering (respectively, control) equation these results are derived without the usual requirement of detectability (respectively, stabilizability).
Poubelle, Marie-Antoinette, Bitmead, Robert R., Gevers, Michel R.   +2 more
openaire   +2 more sources

An embedding technique for the solution of coupled Riccati equations

Journal of Physics A: Mathematical and General, 1992
Summary: A new method of solving analytically coupled Riccati equations by means of embedding them into a matrix Riccati equation is proposed. This process imposes certain conditions onto the coefficients of the original equations. Whenever it is impossible to match these requirements, the calculation of less demanding invariants is discussed.
Enders, P., Schmidtmann, O.
openaire   +2 more sources

Control of tandem hot metal strip rolling processes using an improvement to the state dependent Riccati equation technique

, 2012
The state-dependent Riccati equation (SDRE) technique is rapidly becoming recognized as a very useful method for control of nonlinear industrial processes such as the tandem rolling of hot metal strip.
John Pittner, Marwan A Simaan
exaly   +2 more sources

Riccati technique and oscillation of third order difference equations with impulse

International Journal of Dynamical Systems and Differential Equations, 2023
Summary: The subject of this discussion is the third order difference equations with fixed moments of impulsive effect. The goal of this paper is to establish the oscillatory behaviour of the aforementioned impulsive difference equations using the Riccati transformation approach along with some inequalities. We do not employ the monotonic properties of
Chhatria, G. N., Tripathy, A. K.
openaire   +2 more sources

Iterative techniques for Riccati game equations

Journal of Optimization Theory and Applications, 1977
We present a monotone iterative technique for the computation of a solution of a Riccati-type equation relevant to the theory of differential games. For this purpose, we show that the Kleinman algorithm for Riccati equation computations converges under extremely general conditions.
openaire   +2 more sources