Solving differential matrix Riccati equations by a piecewise-linearized method based on the conmutant equation
DOI10.1016/j.cpc.2009.06.014zbMath1197.65108OpenAlexW2056641380WikidataQ115358366 ScholiaQ115358366MaRDI QIDQ711787
Jacinto-Javier Ibáñez, Vicente G. Hernández
Publication date: 28 October 2010
Published in: Computer Physics Communications (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10251/52276
matrix exponentialordinary differential equation (ODE)conmutant equationpiecewise-linearized methodbackward differentiation formula (BDF) methodinitial value problem (IVP)linear differential equation (LDE)algebraic matrix Riccati equation (AMRE)algebraic matrix Sylvester equation (AMSE)differential matrix Riccati equation (DMRE)
Singular perturbations for ordinary differential equations (34E15) Numerical methods for ordinary differential equations (65L99) Model systems in control theory (93Cxx)
Related Items (1)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Initial value methods for boundary value problems. Theory and application of invariant imbedding
- Piecewise-linearized methods for initial-value problems
- Piecewise-linearized and linearized \(\vartheta\)-methods for ordinary and partial differential equations.
- A fixed point-based BDF method for solving differential Riccati equations
- Efficient matrix-valued algorithms for solving stiff Riccati differential equations
- Numerical integration of the differential matrix Riccati equation
- Superposition laws for solutions of differential matrix Riccati equations arising in control theory
- A High-Order Method for Stiff Boundary Value Problems with Turning Points
- Interpolation Schemes for Collocation Solutions of Two-Point Boundary Value Problems
- Numerical Integration of the Differential Riccati Equation and Some Related Issues
- Generalized Chandrasekhar algorithms: Time-varying models
- Non-autonomous Riccati-type matrix differential equations: existence interval, construction of continuous numerical solutions and error bounds
- Algorithm 432 [C2: Solution of the matrix equation AX + XB = C [F4]]
- Functions of Matrices
- The numerical solution of the matrix Riccati differential equation
This page was built for publication: Solving differential matrix Riccati equations by a piecewise-linearized method based on the conmutant equation