Using spectral discretisation for the optimalℋ2design of time-delay systems
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Publication:3015131
DOI10.1080/00207179.2010.547222zbMath1222.93177OpenAlexW1988970444MaRDI QIDQ3015131
Elias Jarlebring, Joris Vanbiervliet, Wim Michiels
Publication date: 8 July 2011
Published in: International Journal of Control (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207179.2010.547222
Design techniques (robust design, computer-aided design, etc.) (93B51) Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Robust stability (93D09)
Related Items (8)
Iterative methods for the delay Lyapunov equation with T-Sylvester preconditioning ⋮ Optimal co-designs of communication and control in bandwidth-constrained cyber-physical systems ⋮ Model reduction of time-delay systems using position balancing and delay Lyapunov equations ⋮ A numerical method for ℋ2$$ {\mathscr{H}}_2 $$ control of linear delay systems ⋮ Model Reduction for Norm Approximation: An Application to Large-Scale Time-Delay Systems ⋮ Sparsity-promoting optimal control of cyber-physical systems over shared communication networks ⋮ Computing Delay Lyapunov Matrices and $\mathcal{H}_2$ Norms for Large-scale Problems ⋮ Design of structured controllers for linear time-delay systems
Cites Work
- Time-delay systems: an overview of some recent advances and open problems.
- Numerical solution of constant coefficient linear delay differential equations as abstract Cauchy problems
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- State-space solutions to standard H/sub 2/ and H/sub infinity / control problems
- A New Iterative Method for Solving Large-Scale Lyapunov Matrix Equations
- A nonsmooth optimisation approach for the stabilisation of time-delay systems
- Numerical solution of large‐scale Lyapunov equations, Riccati equations, and linear‐quadratic optimal control problems
- Numerical Solution of the Stable, Non-negative Definite Lyapunov Equation Lyapunov Equation
- Krylov Subspace Methods for Solving Large Lyapunov Equations
- Barycentric Lagrange Interpolation
- The Smoothed Spectral Abscissa for Robust Stability Optimization
- Stability and Stabilization of Time-Delay 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]]
- Pseudospectral Differencing Methods for Characteristic Roots of Delay Differential Equations
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