Zero assignment of matrix pencils by additive structured transformations

Zero assignment of matrix pencils by additive structured transformations

Perturbation of Eigenvalues of Matrix Pencils and Optimal Assignment Problem

We consider a matrix pencil whose coefficients depend on a positive parameter ǫ, and have asymptotic equivalents of the form aǫ when ǫ goes to zero, where the leading coefficient a is complex, and the leading exponent A is real. We show that the asymptotic equivalent of every eigenvalue of the pencil can be determined generically from the asymptotic equivalents of the coefficients of the pencil...

Structure-Preserving Transformations of Skew-Hamiltonian/Hamiltonian Matrix Pencils

ityl or positive realness in a VLSI model is an important property Passivity in a VLSI model is an important property to guarantee stato guarantee stable global simulation [3,7]. Existing DS passivity ble global simulation. Most VLSI models are naturally described tests are restrnctive in different aspects. For example, the extended as descriptor systems (DSs) or singular state spaces. Passivit...

Structured squaring down and zero assignment

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γ-Iteration for Descriptor Systems Using Structured Matrix Pencils

The optimal infinite-horizon output (or measurement) feedback H∞ control problem is one of the central tasks in robust control, see, e.g., [12, 13, 22, 28, 30]. For standard state space systems, where the dynamics of the system are modelled by a linear constant coefficient ordinary differential equation, the analysis of this problem is well studied and numerical methods have been developed and ...