On the dimension reduction of linear differential-algebraic control systems

DOI10.1134/S1064562412040059zbMath1264.93033MaRDI QIDQ1761052

Yuri M. Nechepurenko

Publication date: 15 November 2012

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

differential-algebraic systemsdimension reductioncomplexity of transformationsblock structurescontrol \(n_c\)-vectorlinear differential-algebraic control systemsobservation \(n_0\)-vector

Mathematics Subject Classification ID

System structure simplification (93B11) Control problems involving ordinary differential equations (34H05)

Related Items (8)

Optimal stochastic forcings for sensitivity analysis of linear dynamical systems ⋮ Spectral analysis of optimal disturbances of stratified turbulent Couette flow ⋮ Asymptotic boundary conditions for the analysis of hydrodynamic stability of flows in regions with open boundaries ⋮ Large-scale structures in stratified turbulent Couette flow and optimal disturbances ⋮ Inexact Newton method for the solution of eigenproblems arising in hydrodynamic temporal stability analysis ⋮ On using the shell theory in stability analysis of fluid flows in compliant pipes ⋮ Stability of the Poiseuille flow in a channel with comb grooves ⋮ Numerical model for the investigation of hydrodynamic stability of shear flows in pipes of elliptic cross-section

Cites Work

• Unnamed Item
• Model reduction for a class of linear descriptor systems
• Dimension reduction of large-scale systems. Proceedings of a workshop, Oberwolfach, Germany, October 19--25, 2003.
• Introduction to Hydrodynamic Stability
• Eigenvalues of Block Matrices Arising from Problems in Fluid Mechanics

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