Matrix Pencil Computations in Computer-Aided Control System Design: Theory, Algorithms and Software Tools

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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