Balanced realization and model reduction of singular systems
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Publication:4304722
DOI10.1080/00207729408929014zbMath0808.93010OpenAlexW1965562438MaRDI QIDQ4304722
Publication date: 29 August 1994
Published in: International Journal of Systems Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207729408929014
singular systemmodel reductiontransformationbalanced realizationslow and fast subsystemsvalue decomposition
Controllability (93B05) Canonical structure (93B10) Minimal systems representations (93B20) Observability (93B07) System structure simplification (93B11) Transformations (93B17)
Related Items
Model reduction of singular systems ⋮ Model order reduction for linear and nonlinear systems: a system-theoretic perspective ⋮ Model Order Reduction for Differential-Algebraic Equations: A Survey ⋮ Mixed optimization approach to model approximation of descriptor systems ⋮ Model reduction for singular systems via covariance approximation ⋮ Suboptimal model reduction for singular systems ⋮ Stability analysis and model order reduction of coupled systems ⋮ \(H_{\infty }\) model reduction for discrete-time singular systems ⋮ 2 Balancing-related model reduction methods ⋮ Model reduction for a class of linear descriptor systems ⋮ Descriptor systems approximation ⋮ An improved suboptimal model reduction for singular systems
Cites Work
- Computation of system balancing transformations and other applications of simultaneous diagonalization algorithms
- A generalized state-space for singular systems
- All optimal Hankel-norm approximations of linear multivariable systems and theirL,∞-error bounds†
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- Lyapunov-like equations and reachability/observabiliy Gramians for descriptor systems
- Principal component analysis in linear systems: Controllability, observability, and model reduction
- Solvability, controllability, and observability of continuous descriptor systems
- Model reduction via balanced state space representations
- Singular perturbational model reduction in the frequency domain
- Dynamic equations in descriptor form
- Singular perturbation approximation of balanced systems
