Newton's method for the positive solution of the coupled algebraic Riccati equation applied to automatic control
From MaRDI portal
Publication:2310471
DOI10.1007/s40314-020-01143-5zbMath1463.65092OpenAlexW3014074189MaRDI QIDQ2310471
Fangfang Luo, Juan Zhang, Jianzhou Liu
Publication date: 6 April 2020
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-020-01143-5
Matrix equations and identities (15A24) Optimal stochastic control (93E20) Numerical methods for matrix equations (65F45)
Related Items (2)
Unique non-negative definite solution of the time-varying algebraic Riccati equations with applications to stabilization of LTV systems ⋮ An iterative algorithm for coupled Riccati equations in continuous-time Markovian jump linear systems
Uses Software
Cites Work
- Unnamed Item
- Low-rank Newton-ADI methods for large nonsymmetric algebraic Riccati equations
- RADI: a low-rank ADI-type algorithm for large scale algebraic Riccati equations
- Projected nonsymmetric algebraic Riccati equations and refining estimates of invariant and deflating subspaces
- A survey of nonsymmetric Riccati equations
- Solution to stochastic LQ control problem for Itô systems with state delay or input delay
- On the solution of discrete-time Markovian jump linear quadratic control problems
- Fast verified computation for the minimal nonnegative solution of the nonsymmetric algebraic Riccati equation
- On some Krylov subspace based methods for large-scale nonsymmetric algebraic Riccati problems
- Modified alternately linearized implicit iteration method for M-matrix algebraic Riccati equations
- The eigenvalue product bounds of the Lyapunov matrix differential equation and the stability of a class of time-varying nonlinear system
- A novel iterative algorithm for solving coupled Riccati equations
- New upper solution bounds of the discrete algebraic Riccati matrix equation
- A new linearized implicit iteration method for nonsymmetric algebraic Riccati equations
- On the Iterative Solution of a Class of Nonsymmetric Algebraic Riccati Equations
- New matrix bounds and iterative algorithms for the discrete coupled algebraic Riccati equation
- Two new upper bounds of the solution for the continuous algebraic Riccati equation and their application
- New Upper Matrix Bounds with Power Form for the Solution of the Continuous Coupled Algebraic Riccati Matrix Equation
- A new phase-lead design method using the root locus diagrams
- Introduction to matrix analysis and applications
This page was built for publication: Newton's method for the positive solution of the coupled algebraic Riccati equation applied to automatic control