Model reduction of time-delay systems using position balancing and delay Lyapunov equations
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Publication:358388
DOI10.1007/s00498-012-0096-9zbMath1272.93036OpenAlexW2116187428MaRDI QIDQ358388
Wim Michiels, Tobias Damm, Elias Jarlebring
Publication date: 8 August 2013
Published in: MCSS. Mathematics of Control, Signals, and Systems (Search for Journal in Brave)
Full work available at URL: https://lirias.kuleuven.be/handle/123456789/325980
System structure simplification (93B11) Transformations (93B17) Control/observation systems governed by ordinary differential equations (93C15)
Related Items (16)
Iterative methods for the delay Lyapunov equation with T-Sylvester preconditioning ⋮ Laguerre functions approximation for model reduction of second order time-delay systems ⋮ Finite-frequency model order reduction of discrete-time linear time-delayed systems ⋮ Model Reduction for Linear Systems with Low-Rank Switching ⋮ Balanced truncation approach to model reduction of Markovian jump time-varying delay systems ⋮ Balanced truncation for discrete time-delay systems via the interpretation of system energy ⋮ Model reduction for delay differential equations with guaranteed stability and error bound ⋮ Model reduction of discrete time-delay systems based on Charlier polynomials and high-order Krylov subspaces ⋮ \( \varepsilon \)-embedding model reduction method for time-delay differential algebra systems ⋮ An efficient hybrid reduction method for time-delay systems using Hermite expansions ⋮ Time domain model reduction of time-delay systems via orthogonal polynomial expansions ⋮ Model order reduction for linear time delay systems: a delay-dependent approach based on energy functionals ⋮ Computing Delay Lyapunov Matrices and $\mathcal{H}_2$ Norms for Large-scale Problems ⋮ Structure-Preserving Model Reduction for Integro-Differential Equations ⋮ Model order reduction for (stochastic-) delay equations with error bounds ⋮ On Extended Model Order Reduction for Linear Time Delay Systems
Uses Software
Cites Work
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- On dominant poles and model reduction of second order time-delay systems
- Lyapunov-Krasovskii functionals for scalar neutral type time delay equations
- Interpolatory projection methods for structure-preserving model reduction
- Schur complements and statistics
- Contragredient transformations applied to the optimal projection equations
- Introduction to functional differential equations
- Delay effects on stability. A robust control approach
- Lyapunov-Krasovskij approach to the robust stability analysis of time-delay systems
- Lyapunov matrices for time-delay systems
- Dimension reduction of large-scale systems. Proceedings of a workshop, Oberwolfach, Germany, October 19--25, 2003.
- Second-order balanced truncation
- Lyapunov--Krasovskii functionals for scalar time delay equations
- Exponential estimates for time delay systems
- Lyapunov matrices for a class of time delay systems
- Using spectral discretisation for the optimalℋ2design of time-delay systems
- Efficient balancing-based MOR for large-scale second-order systems
- Krylov-Based Model Order Reduction of Time-delay Systems
- Laguerre and Kautz shift approximations of delay systems
- Shift Operator Induced Approximations of Delay Systems
- Balanced truncation model reduction of second-order systems
- Krylov Subspace Methods for Linear Infinite-Dimensional Systems
- Characterizing and Computing the ${\cal H}_{2}$ Norm of Time-Delay Systems by Solving the Delay Lyapunov Equation
- Algorithm 432 [C2: Solution of the matrix equation AX + XB = C [F4]]
- Balancing and model reduction for second-order form linear systems
- Lyapunov functionals and Lyapunov matrices for neutral type time delay systems: a single delay case
- Approximation of Large-Scale Dynamical Systems
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