ScholarLens Back to search
2002•Unpublished venueRequires access

About solution of the continuous-time algebraic Riccati equation

V. B. Larin

Open publisher page 0 citations

Abstract

The algorithm for the construction of a stabilising solution of algebraic Riccati equation (ARE) is considered. This algorithm is required for the determination of the special solution of quadratic matrix equation. It is shown that the solution searched for this equation can be expressed through the sign function of an appropriate matrix. It is noted that the basic relation of the algorithm is based on the known relations of the matrix sign function method.

About this research paper

What this paper is about

The algorithm for the construction of a stabilising solution of algebraic Riccati equation (ARE) is considered. This algorithm is required for the determination of the special solution of quadratic matrix equation. It is shown that the solution searched for this equation can be expressed through the sign function of an appropriate matrix. It is noted that the basic relation of the algorithm is based on the known relations of the matrix sign function method.

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

The algorithm for the construction of a stabilising solution of algebraic Riccati equation (ARE) is considered. This algorithm is required for the determination of the special solution of quadratic matrix equation. It is shown that the solution searched for this equation can be expressed through the sign function of an appropriate matrix. It is noted that the basic relation of the algorithm is based on the known relations of the matrix sign function method.

Key concepts: Algebraic Riccati equation, Riccati equation, Matrix difference equation, Sign (mathematics), Linear-quadratic regulator, Algebraic solution, Mathematics, Matrix (chemical analysis)

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
About solution of the continuous-time algebraic Riccati equation — Research Paper | ScholarLens