The interval Lyapunov matrix equation: analytical results and an efficient numerical technique for outer estimation of the united solution set
From MaRDI portal
Publication:1930971
DOI10.1016/j.mcm.2011.08.036zbMath1255.15002OpenAlexW2044499328MaRDI QIDQ1930971
Publication date: 24 January 2013
Published in: Mathematical and Computer Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.mcm.2011.08.036
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (13)
Parametric AE-solution sets to the parametric linear systems with multiple right-hand sides and parametric matrix equation \(A(p)X=B(p)\) ⋮ Generalized solution sets of the interval generalized Sylvester matrix equation \(\sum_{i=1}^p\mathbf A_iX_i+\sum_{j=1}^qY_j\mathbf B_j=\mathbf C\) and some approaches for inner and outer estimations ⋮ Fast enclosing the solution set of the parametric Sylvester matrix equations ⋮ On the iterative method for the system of nonlinear matrix equations ⋮ New sufficient conditions for robust stability analysis of interval matrices ⋮ A Newton iterative method for coupled Lyapunov matrix equations ⋮ Efficient approaches for enclosing the united solution set of the interval generalized Sylvester matrix equations ⋮ Sufficient conditions for the solvability of a Sylvester-like absolute value matrix equation ⋮ The united stable solution set of interval continuous-time algebraic Riccati equation and veri ed numerical computation of its outer estimation ⋮ New sufficient conditions for the unique solution of a square Sylvester-like absolute value equation ⋮ Kalman state filtering based least squares iterative parameter estimation for observer canonical state space systems using decomposition ⋮ Unnamed Item ⋮ Enclosing the solution set of the parametric generalised Sylvester matrix equation A(p)XB(p) + C(p)XD(p) = F(p)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Results concerning interval linear systems with multiple right-hand sides and the interval matrix equation \(AX=B\)
- Scientific computing with automatic result verification
- Inner and outer bounds for the solution set of parametric linear systems
- Derived eigenvalues of symmetric matrices, with applications to distance geometry
- Controllable solution set to interval static systems
- A note on epsilon-inflation
- The interval Sylvester equation
- Enclosing solutions of linear interval equations is NP-hard
- Computational complexity and feasibility of data processing and interval computations
- Robust assignment of poles in large-scale interval systems
- A new technique in systems analysis under interval uncertainty and ambiguity
- Numerical solution of the Lyapunov equation by approximate power iteration
- Algebraic approach to the interval linear static identification, tolerance, and control problems, or one more application of Kaucher arithmetic
- Verified Computation of Square Roots of a Matrix
- Introduction to Interval Analysis
- A Cyclic Low-Rank Smith Method for Large Sparse Lyapunov Equations
- Rigorous solution of linear programming problems with uncertain data
- Quality of the Solution Sets of Parameter-Dependent Interval Linear Systems
- Computing Exact Componentwise Bounds on Solutions of Lineary Systems with Interval Data is NP-Hard
- Algorithm 432 [C2: Solution of the matrix equation AX + XB = C [F4]]
- Approximation of Large-Scale Dynamical Systems
This page was built for publication: The interval Lyapunov matrix equation: analytical results and an efficient numerical technique for outer estimation of the united solution set