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- A. VARGA
- 1994

An overview of numerically reliable algorithms for model reduction is presented. The covered topics are the reduction of stable and unstable linear systems as well as the computational aspects of frequency weighted model reduction. The presentation of available software tools focuses on a recently developed Fortran library RASP-MODRED implementing a new… (More)

- A Varga
- 2004

We propose a computationally efficient and numerically reliable algorithm to compute Kronecker-like forms of periodic matrix pairs. The eigenvalues and Kronecker indices are defined via the Kro-necker structure of an associated lifted matrix pencil. The proposed reduction method relies on structure preserving manipulations of this pencil to extract… (More)

- A. Varga
- 2005

The recently developed PERIODIC SYSTEMS Toolbox for MATLAB is described. The basic approach to develop this toolbox was to exploit the powerful object manipulation features of MATLAB via flexible and functionally rich high level m-functions, while simultaneously enforcing highly efficient and numerically sound computations via the mex-function technology of… (More)

- A. Varga
- 2005

Periodic Lyapunov, Sylvester and Riccati differential equations have many important applications in the analysis and design of linear periodic control systems. For the numerical solution of these equations efficient numerically reliable algorithms based on the periodic Schur decomposition are proposed. The new multi-shot type algorithms compute periodic… (More)

- A. Varga
- 2000

We describe the model reduction software developed recently for the control and systems library SLICOT. Besides a powerful collection of Fortran 77 routines implementing the last algorithmic developments for several well-known balancing related methods, we also describe model reduction tools developed to facilitate the usage of SLICOT routines in user… (More)

- S. Hecker, A. Varga, J.-F. Magni
- 2004 IEEE International Conference on Robotics…
- 2004

We describe recent developments and enhancements of the LFR-toolbox for MATLAB for building LFT-based uncertainty models. A major development is the new LFT-object definition supporting a large class of uncertainty descriptions: continuous- and discrete-time uncertain models, regular and singular parametric expressions, more general uncertainty blocks… (More)

- A. Varga
- 2000

By using a Sylvester equation based parametrization, the minimum norm robust pole assignment problem for linear time-invariant systems is formulated as an un-constrained minimization problem for a suitably chosen cost function. The derived explicit expression of the gradient of the cost function allows the efficient solution of the minimization problem by… (More)

- A. Varga
- 2005

Two numerically reliable algorithms to compute the periodic nonnegative definite stabilizing solution of discrete-time periodic Riccati equations are proposed. The first method represents an extension of the periodic QZ algorithm to non-square periodic pairs, while the second method represents an extension of a quotient-product swapping and collapsing "… (More)

- A Varga
- 2004

Minimal dimension dynamic covers play an important role in solving the structural synthesis problems of minimum order functional observers or fault detectors, or in computing minimal order inverses or minimal degree solutions of rational equations. We propose numerically reliable algorithms to compute two basic types of minimal dimension dynamic covers for… (More)

- A. Varga
- 1999

We propose balancing related numerically reliable methods to compute minimal realizations of linear periodic systems with time-varying dimensions. The ÿrst method belongs to the family of square-root methods with guaranteed enhanced computational accuracy and can be used to compute balanced minimal order realizations. An alternative balancing-free… (More)