Balanced realization of separable-denominator multidimensional systems
DOI10.1016/0024-3795(93)90478-7zbMath0781.65057OpenAlexW2012064516MaRDI QIDQ1260800
Thulasinath Manickam, Pradeep Misra
Publication date: 25 August 1993
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0024-3795(93)90478-7
singular value decompositionLyapunov equationsmultidimensional systembalanced realizationmodel order reductiontime-invariantGramiansinternal balancingLaplacian-Gaussian infinite-impulse-response filtersseparable-denominator system
Numerical optimization and variational techniques (65K10) Multivariable systems, multidimensional control systems (93C35) Linear systems in control theory (93C05)
Cites Work
- Unnamed Item
- Unnamed Item
- Optimal Hankel-norm model reductions: Multivariable systems
- Stability analysis for two-dimensional systems via a Lyapunov approach
- On generalized balanced realizations
- All optimal Hankel-norm approximations of linear multivariable systems and theirL,∞-error bounds†
- Bilinear Transformation of Infinite-Dimensional State-Space Systems and Balanced Realizations of Nonrational Transfer Functions
- Stability and the matrix Lyapunov equation for discrete 2-dimensional systems
- Balanced realizations via model operators
- On stability properties of three- and higher dimensional linear shift-invariant digital filters
- Separately balanced realization of two-dimensional separable-denominator transfer functions†
- Principal component analysis in linear systems: Controllability, observability, and model reduction
- Some stability properties of two-dimensional linear shift-invariant digital filters
- Approximation of 2-D separable in denominator filters
- Algorithm 432 [C2: Solution of the matrix equation AX + XB = C [F4]]
This page was built for publication: Balanced realization of separable-denominator multidimensional systems