Introduction to Infinite-Dimensional Systems Theory: A State-Space Approach
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
The system results in a non-self-adjoint operator.
“The system results in a non-self-adjoint operator.”
From Optimal control of axial dispersion tubular reactors with recycle: Addressing state‐delay through transport <scp>PDEs</scp> (2025) · cites this paper as [16]
Cites
One-parameter semigroups for linear evolution equations
Engel, K., & Nagel, R. J. (2001) · Semigroup Forum · doi:10.1007/s002330010042 · Cited by 3,488 · see citing works
An Introduction to Infinite-Dimensional Linear Systems Theory
Curtain, R. F., & Zwart, H. J. (1995) · Texts in applied mathematics · doi:10.1007/978-1-4612-4224-6 · Cited by 3,325 · see citing works
Self-citationObservation and Control for Operator Semigroups
Tucsnak, M., & Weiss, G. H. (2009) · Birkhäuser Basel eBooks · doi:10.1007/978-3-7643-8994-9 · Cited by 1,360 · see citing works
Delay Compensation for Nonlinear, Adaptive, and PDE Systems
Krstić, M. (2009) · Systems & control · doi:10.1007/978-0-8176-4877-0 · Cited by 1,064 · see citing works
Delay Equations: Functional-, Complex-, and Nonlinear Analysis
Diekman, O., van Gils, S. A., Lunel, S. M. V., et al. (2012) · University of Twente Research Information · Cited by 910 · see citing works
Infinite Dimensional Linear Systems Theory
(1978) · Springer eBooks · doi:10.1007/bfb0006761 · Cited by 869 · see citing works
Optimal Control Theory for Infinite Dimensional Systems
Li, X., & Yong, J. (1995) · Birkhäuser Boston eBooks · doi:10.1007/978-1-4612-4260-4 · Cited by 849 · see citing works
Exact controllability and stabilization: The multiplier method
Komornik, V. (1994) · Cited by 822 · see citing works
Nonlinear Differential Equations of Monotone Types in Banach Spaces
Barbu, V. (2009) · Springer monographs in mathematics · doi:10.1007/978-1-4419-5542-5 · Cited by 794 · see citing works
Representation and Control of Infinite Dimensional Systems
Bensoussan, A., Prato, G. D., Delfour, M. C., et al. (2007) · Systems & control · doi:10.1007/978-0-8176-4581-6 · Cited by 559 · see citing works
Mathematical Analysis and Numerical Methods for Science and Technology
(2000) · Springer eBooks · doi:10.1007/978-3-642-61566-5 · Cited by 445 · see citing works
Staffans, O. J. (2005) · Cambridge University Press eBooks · doi:10.1017/cbo9780511543197 · Cited by 444 · see citing works
Adaptive Control of Parabolic PDEs
Smyshlyaev, A., & Krstić, M. (2010) · Princeton University Press eBooks · doi:10.1515/9781400835362 · Cited by 442 · see citing works
Smart material structures: Modeling, estimation, and control
Smith, R. C., Banks, H. T., Banks, H. T., et al. (1996) · Medical Entomology and Zoology · Cited by 397 · see citing works
Modelling Analysis and Control of Thin Plates
Lagnese, J. E., Lagnese, J. E., & Lions, J. L. (1988) · Cited by 371 · see citing works
Linear Port-Hamiltonian Systems on Infinite-dimensional Spaces
Jacob, B., & Zwart, H. J. (2012) · Springer eBooks · doi:10.1007/978-3-0348-0399-1 · Cited by 314 · see citing works
Self-citationHamilton-Jacobi equations in Hilbert spaces
Barbu, V., & Prato, G. D. (1983) · Medical Entomology and Zoology · Cited by 165 · see citing works
Mathematical Control Theory of Coupled PDEs
Lasiecka, I. (2002) · Society for Industrial and Applied Mathematics eBooks · doi:10.1137/1.9780898717099 · Cited by 136 · see citing works
Analysis and control of nonlinear infinite dimensional systems
Ames, W. F., & Brezinski, C. (1993) · Mathematics and Computers in Simulation · doi:10.1016/0378-4754(93)90028-s · Cited by 121 · see citing works
Control in distributed-parameter systems
Chernousko, F. L., Ananievski, I. M., & Reshmin, S. A. (2008) · Communications and control engineering/Communications and control engineering series · doi:10.1007/978-3-540-70784-4_7 · Cited by 90 · see citing works
Control Theory of Partial Differential Equations
(2005) · Chapman & Hall/CRC eBooks · doi:10.1201/9781420028317 · Cited by 53 · see citing works
Control of Turbulent and Magnetohydrodynamic Channel Flows
(2007) · Birkhäuser Boston eBooks · doi:10.1007/978-0-8176-4699-8 · Cited by 46 · see citing works
Control of Flexible Structures
Morris, K. (1993) · American Mathematical Society eBooks · doi:10.1090/fic/002 · Cited by 11 · see citing works
Existence and uniqueness of solutions
Robinson, J. C. (2004) · Cambridge University Press eBooks · doi:10.1017/cbo9780511801204.008 · Cited by 5 · see citing works
Existence and Stability for Semilinear Differential Equations
Curtain, R. F., & Zwart, H. J. (2020) · Texts in applied mathematics · doi:10.1007/978-1-0716-0590-5_11 · Cited by 1 · see citing works
Self-citationControllability and Observability
(2006) · Springer eBooks · doi:10.1007/1-85233-861-x_6 · Cited by 1 · see citing works
Flagged first, then by citations
Cited by
Sorted by citations
Moadeli, B., Cassol, G. O., & Dubljevic, S. (2025) · The Canadian Journal of Chemical Engineering · doi:10.1002/cjce.25629 · Cited by 4 · see citing works
- Authors
- Curtain, R., & Zwart, H.
- Affiliations
- University of Twente (NL)
- ORCID
- Zwart, Hans
- Venue
- Texts in Applied Mathematics
- Publisher
- Springer New York
- Published
- 2020
- ISSN
- 0939-2475 (ISSN-L)
- 2196-9949
- OpenAlex
- W4248729779
- Cited by
- 150
- References
- 26
- Citations by year
- 2026: 15 · 2025: 38 · 2024: 28 · 2023: 22 · 2022: 16 · 2021: 19 · 2020: 3 · 2019: 2 · 2017: 1 · 2016: 1
- FWCI
- 10.50
- Type
- book
- Language
- en
- Open access
- closed
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Texts in applied mathematics (publishedVersion)
- Topics
- Physical Sciences › Engineering › Control and Systems Engineering › Stability and Controllability of Differential Equations
- Physical Sciences › Mathematics › Applied Mathematics › Nonlinear Differential Equations Analysis
- Physical Sciences › Mathematics › Mathematical Physics › Advanced Banach Space Theory
- Keywords
- distributed parameter systems, state space theory, functional analysis, control theory, differential equations, operator theory
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
