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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

Riccati technique and oscillation constant for modified Euler type half-linear equations

, 2020
Applying the modified half-linear Prufer angle, we study oscillation properties of certain half-linear differential equations. We show that the considered equations are conditionally oscillatory in a very general case.
M. VeselĂ˝, P. Hasil
semanticscholar   +1 more source

Path control in limit handling and drifting conditions using State Dependent Riccati Equation technique

Proceedings of the Institution of mechanical engineers. Part D, journal of automobile engineering, 2020
Tyres operated at or close to their friction limits show a highly nonlinear motion to force response. This state is called limit handling. The objective of this research is to minimize lateral path tracking error while the tyres operate in limit handling.
Erik Wachter   +3 more
semanticscholar   +1 more source

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

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   +2 more
openaire   +2 more sources

A fake algebraic Riccati technique for tracking superimposed signals

Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187), 2002
This paper describes an adaptive nonlinear filter for tracking superimposed signals. The filter gain is selected via a fake algebraic Riccati equation. A passivity approach is applied to deduce stability conditions for the filter error system. The performance is compared with an extended Kalman filter for tracking multiple frequency modulated signals.
Garry A. Einicke   +2 more
openaire   +1 more source

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

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