Regional stabilization of nonlinear sampled-data control systems: A quasi-LPV approach
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Lemma 2: Under the stated conditions, any initial condition x(0) belonging to the set L_V ensures that (i) the increment of the Lyapunov function V between two consecutive sampling instants is strictly negative, and (ii) the trajectories of the closed-loop system (6) with aperiodic samplings η_k ∈ [η1, η2] converge asymptotically to the origin without leaving L_V.
“Then, any initial condition x ( 0 ) belonging to the set:”
From Sampled-Data Control of LPV Systems With Magnitude and Rate Saturating Actuators (2025) · cites this paper as [18]
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Sampled-Data Control of LPV Systems With Magnitude and Rate Saturating Actuators
Oliveira, L. A. L., Guelton, K., Motchon, K. M. D., & Leite, V. J. S. (2025) · IEEE Control Systems Letters · doi:10.1109/lcsys.2025.3580489 · Cited by 2 · see citing works
- Authors
- Palmeira, A. H. K., Gomes da Silva, J. M., & Flores, J. V.
- Affiliations
- Universidade Federal do Rio Grande do Sul (BR)
- Venue
- European Journal of Control
- Publisher
- Elsevier BV
- Published
- 2021-05
- Volume
- 59
- Pages
- 301-312
- ISSN
- 0947-3580 (ISSN-L)
- OpenAlex
- W3107641965
- Cited by
- 17
- References
- 0
- Citations by year
- 2026: 2 · 2025: 2 · 2024: 3 · 2023: 2 · 2022: 5 · 2021: 3
- FWCI
- 1.24
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- European Journal of Control (publishedVersion)
- Funders
- Conselho Nacional de Desenvolvimento Científico e Tecnológico (PQ-306223/2018-0, PQ-307449/2019-0, Univ-422992/2016-0)
- Coordenação de Aperfeiçoamento de Pessoal de Nível Superior
- 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 › Advanced Control Systems Optimization
- Keywords
- sampled-data control, nonlinear systems, regional stabilization, quasi-LPV model, aperiodic sampling, looped functional, nonlinear state feedback, domain of attraction
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