The DOI matches its Crossref record; 11 of the 11 references it cites were found in a registry or an index.
Finite spectrum assignment problem for systems with delays
Abstract
In this paper linear systems with delays in state and/or control variables are considered. The objective is to design a feedback law which yields a finite spectrum of the closed-loop system, located at an arbitrarily preassigned set ofnpoints in the complex plane. It is shown that in case of systems with delays in control only the problem is solvable if and only if some function space controllability criterion is met. The solution is then easily obtainable by standard spectrum assignment methods, while the resulting feedback law involves integrals over the past control. In case of delays in state variables it is shown that a technique based on the finite Laplace transform, related to a recent work on function space controllability, leads to a constructive design procedure. The resulting feedback consists of proportional and (finite interval) integral terms over present and past values of state variables. Some indications on how to combine these results in case of systems including both state and control delays are given. Sensitivity of the design to parameter variations is briefly analyzed.
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“The proof hinges on a fixed-point argument detailed in our prior conference paper [38], where an identical target system was analyzed.”
From Multi-layer predictor feedback design for nonlinear integro-differential equations with state-dependent input delays (2026) · cites this paper as [38]
Citations
Cites
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Morse, A. (1976) · Automatica · doi:10.1016/0005-1098(76)90013-3 · Cited by 252
Manitius, A., & Triggiani, R. (1978) · SIAM Journal on Control and Optimization · doi:10.1137/0316041 · Cited by 146
On controllability of linear systems with time delays in control
Olbrot, A. W. (1972) · IEEE Transactions on Automatic Control · doi:10.1109/tac.1972.1100090 · Cited by 85
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Manitius, A. (1976) · IEEE Conference on Decision and Control including the Symposium on Adaptive Processes (CDC) · doi:10.1109/cdc.1976.267829 · Cited by 34
Research works printed but not linked: 4
- manitius, 1972, Controllability conditions for linear systems with delayed states and control, Archiwum Autom i Telem, 17, 119
- osipov, 1965, Stabilization of controlled systems with delays, Differentsial'nye Uravneniya, 1, 605
- pandolfi, 1975, On feedback stabilization of functional differential equations, Bottetino U M I, 4, 626
- manitius, 1972, On controllability conditions for systems with distributed delays in state and control, Archiwum Automatyki i Telemechaniki, 17, 363
Cited by
Sorted by citations
Time-delay systems: an overview of some recent advances and open problems
Richard, J.-P. (2003) · Automatica · doi:10.1016/s0005-1098(03)00167-5 · Cited by 3,353
Linear systems with delayed controls: A reduction
Artstein, Z. (1982) · IEEE Transactions on Automatic Control · doi:10.1109/tac.1982.1103023 · Cited by 1,113
Krstić, M., & Smyshlyaev, A. (2008) · Systems & Control Letters · doi:10.1016/j.sysconle.2008.02.005 · Cited by 796
Stability and Stabilization of Systems with Time Delay
Sipahi, R., Niculescu, S., Abdallah, C. T., Michiels, W., & Gu, K. (2011) · IEEE Control Systems · doi:10.1109/mcs.2010.939135 · Cited by 687
Survey on Recent Results in the Stability and Control of Time-Delay Systems*
Gu, K., & Niculescu, S. (2003) · Journal of Dynamic Systems Measurement and Control · doi:10.1115/1.1569950 · Cited by 630
Metadata
- Authors
- Manitius, A., & Olbrot, A.
- Affiliations
- Centre de recherches mathématiques (CA)
- Warsaw University of Technology (PL)
- Venue
- IEEE Transactions on Automatic Control
- Published
- 1979-08
- Volume
- 24
- Issue
- 4
- Pages
- 541-552
- ISSN
- 0018-9286 (ISSN-L)
- OpenAlex
- W2070065489
- Cited by
- 1,140
- References
- 11
- Citations by year
- 2026: 17 · 2025: 40 · 2024: 33 · 2023: 29 · 2022: 52 · 2021: 49 · 2020: 51 · 2019: 58 · 2018: 49 · 2017: 49 · 2016: 57 · 2015: 57 · 2014: 75 · 2013: 39 · 2012: 42
- FWCI
- 21.50
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- IEEE Transactions on Automatic Control (publishedVersion)
- Topics
- Physical Sciences › Engineering › Control and Systems Engineering › Stability and Control of Uncertain Systems
- Physical Sciences › Engineering › Control and Systems Engineering › Advanced Control Systems Design
- Physical Sciences › Engineering › Control and Systems Engineering › Stability and Controllability of Differential Equations
- Keywords
- finite spectrum assignment, time-delay systems, state delay, control delay, feedback control design, integral feedback, closed-loop eigenvalues
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