Optimal Robustness of Port-Hamiltonian Systems
From MaRDI portal
Publication:5210993
DOI10.1137/19M1259092zbMath1440.93067arXiv1904.13326WikidataQ126345610 ScholiaQ126345610MaRDI QIDQ5210993
Volker Mehrmann, Paul Van Dooren
Publication date: 17 January 2020
Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1904.13326
Related Items
Computation of the nearest structured matrix triplet with common null space, Control of port-Hamiltonian differential-algebraic systems and applications, Fast computation of \(\mathrm{sep}_\lambda\) via interpolation-based globality certificates, Root-Max Problems, Hybrid Expansion-Contraction, and Quadratically Convergent Optimization of Passive Systems, Identification of port-Hamiltonian systems from frequency response data, Numerical mathematics and control. Preface to a special issue dedicated to Volker Mehrmann on the occasion of his 65th birthday, Computation of the analytic center of the solution set of the linear matrix inequality arising in continuous- and discrete-time passivity analysis, Quantitatively hyper-positive real functions, On the nearest stable \(2\times 2\) matrix, dedicated to Prof. Sze-Bi Hsu in appreciation of his inspiring ideas, Control of port-Hamiltonian systems with minimal energy supply, On properties of univariate max functions at local maximizers, Structured Backward Errors for Eigenvalues of Linear Port-Hamiltonian Descriptor Systems
Cites Work
- Unnamed Item
- An implicitly-restarted Krylov subspace method for real symmetric/skew-symmetric eigenproblems
- Nearest stable system using successive convex approximations
- A regularity result for the singular values of a transfer matrix and a quadratically convergent algorithm for computing its \(L_{\infty}\)-norm
- On computing the distance to stability for matrices using linear dissipative Hamiltonian systems
- Robust port-Hamiltonian representations of passive systems
- Approximation of stability radii for large-scale dissipative Hamiltonian systems
- Dissipative dynamical systems. I: General theory
- Dissipative dynamical systems. II: Linear systems with quadratic supply rates
- Existence, Uniqueness, and Parametrization of Lagrangian Invariant Subspaces
- Numerical Linear Algebra Methods for Linear Differential-Algebraic Equations
- Perturbation Theory for Hamiltonian Matrices and the Distance to Bounded-Realness
- LYAPUNOV FUNCTIONS FOR THE PROBLEM OF LUR'E IN AUTOMATIC CONTROL
- Linear Matrix Inequalities in System and Control Theory
- Computing the nearest stable matrix pairs
- Passivity Enforcement via Perturbation of Hamiltonian Matrices
- Large-Scale Computation of $\mathcal{L}_\infty$-Norms by a Greedy Subspace Method
- An extension of the positive real lemma to descriptor systems
- Stability theory for dissipatively perturbed hamiltonian systems
- Dissipativity Enforcement via Perturbation of Para-Hermitian Pencils
- Port-Hamiltonian Systems Theory: An Introductory Overview
- Approximation of Large-Scale Dynamical Systems
