Compensation of input delay that depends on delayed input
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The controller incorporates a compensator that effectively cancels the influence of inhomogeneous terms in the PDE actuator state, without imposing restrictions on the severity of the nonlinearity or the feasibility condition, while guaranteeing the latter through an assumption on the positivity of the transport speed to avoid an ill-posed problem.
“Our controller incorporates a compensator that effectively cancels the influence of inhomogeneous terms in the PDE actuator state, without imposing any restrictions on the severity of the nonlinearity or the feasibility condition [5,6], while guaranteeing the latter through an assumption on the positivity of the transport speed to avoid an illposed problem (see [14,17]).”
From Multi-layer predictor feedback design for nonlinear integro-differential equations with state-dependent input delays (2026) · cites this paper as [14]
System (1)-(3) is no longer equivalent to the classical time-delay system in [5,6,14-17].
“Equation (31) indicates that system (1)-(3) is no longer equivalent to the following classical time-delay system in [5,6,14-17]”
From Multi-layer predictor feedback design for nonlinear integro-differential equations with state-dependent input delays (2026) · cites this paper as [14]
Unlike prior work [18] and [14] that establishes globally stabilizing safe softened bang-bang control under predictor feedback, the present setting admits only local guarantees due to the presence of source terms.
“In contrast to [18] and [14], which establish globally stabilizing, safe softened bang-bang control under a predictor feedback design, the present setting admits only local guarantees due to the presence of source terms.”
From Multi-layer predictor feedback design for nonlinear integro-differential equations with state-dependent input delays (2026) · cites this paper as [14]
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Delay-Adaptive Boundary Control of Coupled Hyperbolic PDE-ODE Cascade Systems
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“A number of results considering delays that are described by complex transport actuation paths for nonlinear ODE plants were developed in [18] and [19], and the references therein.”
Self-citationLi, T., Shang, P., & Diagne, M. (2026) · Automatica · doi:10.1016/j.automatica.2026.113282
Self-citation
- Authors
- Diagne, M., Bekiaris-Liberis, N., & Krstic, M.
- Affiliations
- Rensselaer Polytechnic Institute (US)
- Technical University of Crete (GR)
- Corresponding author
- Diagne, Mamadou
- Bekiaris-Liberis, Nikolaos
- Venue
- Automatica
- Publisher
- Elsevier BV
- Published
- 2017-11
- Volume
- 85
- Pages
- 362-373
- ISSN
- 0005-1098 (ISSN-L)
- OpenAlex
- W2754594566
- Cited by
- 36
- References
- 50
- Citations by year
- 2026: 2 · 2025: 5 · 2024: 3 · 2023: 5 · 2022: 2 · 2021: 6 · 2020: 5 · 2019: 5 · 2018: 3
- FWCI
- 2.23
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Automatica (publishedVersion)
- Topics
- Physical Sciences › Engineering › Control and Systems Engineering › Stability and Controllability of Differential Equations
- Physical Sciences › Engineering › Control and Systems Engineering › Stability and Control of Uncertain Systems
- Physical Sciences › Engineering › Control and Systems Engineering › Advanced Control Systems Design
- Keywords
- input delay compensation, actuator dynamics, global asymptotic stability, backstepping transformation, nonlinear cascade systems, queueing systems, production systems
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