Robust stability of uncertain fractional order singular systems with neutral and time-varying delays
Sign Up to like & getrecommendations! Published in 2020 at "Neurocomputing"
DOI: 10.1016/j.neucom.2020.03.015
Abstract: Abstract In this paper, the robust stability of uncertain fractional order singular systems with neutral and time-varying delays is investigated. By applying Lyapunov–Krasovskii functional approach, several sufficient conditions in the form of linear matrix inequality… read more here.
Keywords: uncertain fractional; robust stability; stability uncertain; fractional order ... See more keywords
Observers-based event-triggered adaptive fuzzy backstepping synchronization of uncertain fractional order chaotic systems.
Sign Up to like & getrecommendations! Published in 2023 at "Chaos"
DOI: 10.1063/5.0135758
Abstract: In this paper, for a class of uncertain fractional order chaotic systems with disturbances and partially unmeasurable states, an observer-based event-triggered adaptive fuzzy backstepping synchronization control method is proposed. Fuzzy logic systems are employed to… read more here.
Keywords: uncertain fractional; fractional order; order; order chaotic ... See more keywords
Optimal Robust Filter of Uncertain Fractional Order Systems: A Penalized Deterministic Approach
Sign Up to like & getrecommendations! Published in 2023 at "IEEE Control Systems Letters"
DOI: 10.1109/lcsys.2022.3230773
Abstract: Developing accurate and optimum state estimation methods for fractional order systems is highly relevant since it provides vital information related to memory effects. The optimum estimation of these systems can be guaranteed using the Kalman… read more here.
Keywords: optimal robust; uncertain fractional; filter; order systems ... See more keywords
Synchronization of Different Uncertain Fractional-Order Chaotic Systems with External Disturbances via T-S Fuzzy Model
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Function Spaces"
DOI: 10.1155/2018/2793673
Abstract: This paper presents an adaptive fuzzy synchronization control strategy for a class of different uncertain fractional-order chaotic/hyperchaotic systems with unknown external disturbances via T-S fuzzy systems, where the parallel distributed compensation technology is provided to… read more here.
Keywords: uncertain fractional; fractional order; different uncertain; order chaotic ... See more keywords
Existence and Uniqueness of Uncertain Fractional Backward Difference Equations of Riemann–Liouville Type
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Problems in Engineering"
DOI: 10.1155/2020/6598682
Abstract: In this article, we consider the analytic solutions of the uncertain fractional backward difference equations in the sense of Riemann–Liouville fractional operators which are solved by using the Picard successive iteration method. Also, we consider… read more here.
Keywords: backward difference; uncertain fractional; existence uniqueness; fractional backward ... See more keywords
Graphical PID tuning method for uncertain fractional-order multivariable systems
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Vibroengineering"
DOI: 10.21595/jve.2019.20500
Abstract: In this paper, a graphical tuning method for controllers parameters based on the open-loop fractional transfer function (FO-EOTF) method is proposed for fractional-order parameter uncertain multivariable system. The FO-EOTF method is proposed to transform the… read more here.
Keywords: uncertain fractional; fractional order; method; order multivariable ... See more keywords
Fixed Point Theorems Applied in Uncertain Fractional Differential Equation with Jump
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DOI: 10.3390/sym12050765
Abstract: No previous study has involved uncertain fractional differential equation (FDE, for short) with jump. In this paper, we propose the uncertain FDEs with jump, which is driven by both an uncertain V-jump process and an… read more here.
Keywords: uncertain fractional; jump; fractional differential; equation ... See more keywords