Balanced approximation of two-dimensional and delay-differential systems
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Publication:3783887
DOI10.1080/00207178708934043zbMath0642.93011OpenAlexW4244098448MaRDI QIDQ3783887
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Publication date: 1987
Published in: International Journal of Control (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207178708934043
Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Multivariable systems, multidimensional control systems (93C35) Approximation in the complex plane (30E10) Control problems for functional-differential equations (34K35) Realizations from input-output data (93B15)
Related Items (4)
Identification and model reduction of 2-D systems via the extended impulse response Gramians ⋮ Optimal synthesis of multidimensional state-space digital filters: A general analysis ⋮ Generalized \(H_{\infty}\) model reduction for stable two-dimensional discrete systems ⋮ An algorithm for balanced approximation and model reduction of 2-D Separable-in-Denominator filters
Cites Work
- Ordinary and delay differential equations
- All optimal Hankel-norm approximations of linear multivariable systems and theirL,∞-error bounds†
- Stability analysis for two-dimensional systems
- Linear systems with commensurate time delays: stability and stabilization independent of delay
- Synthesis of 2-D state-space fixed-point digital-filter structures with minimum roundoff noise
- A property of internally balanced and low noise structures
- On first-order equations for multidimensional filters
- Model reduction via balanced state space representations
- A discrete state-space model for linear image processing
- Synthesis of minimum roundoff noise fixed point digital filters
- Algorithm 432 [C2: Solution of the matrix equation AX + XB = C [F4]]
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