Matrix Pencil Computations in Computer-Aided Control System Design: Theory, Algorithms and Software Tools
Some ongoing projects
- Algorithms and Tools for Computing Structural Information of Matrix Pencils
and Descriptor-Type Systems under Perturbations
- StratiGraph - A Tool for Computing and Presenting Hierarchies
of Jordan and Kronecker Structures
- MATLAB Toolbox for Method Design in Applications
- Lower and Upper Bounds between Nearby Jordan and Kronecker
Structures
- Stratification of System Pencils in Control Theory
- Multishift QZ Algorithms with Advanced Deflation Strategies
- Some
Publications
- Design and Analysis of Periodic Systems
- (Extended) Periodic Schur Forms - (E)PRSF
- Eigenvalue Reordering in a Product of Matrices in (E)PRSF
and Computation of Periodic Generalized Subspaces
- Periodic Sylvester-type Matrix Equations
- Periodic Riccati-type Matrix and Differential Equations
- Staircase-Kronecker-like Forms of Periodic Matrix Pencils
and Applications
- Some
Publications
- Multibody Simulation and Contact Problems
- Splitting Methods for Dry Frictional Contact Problems in
Rigid Multibody Systems
- Regularized Formulations and Time Steppers for Multibody
Systems
- Simulation of Cloth-like Objects and Coupled Simulations
- Applications in Controlled Mechanical Systems
- Some
Publications
- Rank-Deficient and Constrained Least Squares Problems
- Rank-Deficient and Constrained Least Squares and Total
Least Squares
- Least Squares Problems with Orthogonality Constraints
- Some
Publications
- Perturbation Analysis, Condition Estimation and Reliable Error Bounds
- Structured Linear Systems
- Spectral Projectors
- Subspaces Associated with Periodic Eigenvalue Problems
- Periodic Sylvester- and Riccati-type Matrix Equations
- Some
Publications
- Algorithms and High Performance Library Software for CACSD
- Hierarchical Blocking and Hybrid Data Structures
- Basic Kernels and Matrix Factorizations
- Regular Matrix Pencils - Generalized Schur Forms
- Singular Matrix Pencils - GUPTRI forms
- Matrix Equations: RECSY
and SCASY
- Periodic Eigenvalue Problems
- Periodic Matrix Equations
- Some
Publications
- Web and Grid Computing Environments
- SLICOT Web Computing Environment
- Grid Computing Interfaces to Numerical Software Libraries
- Some
Publications