Stability analysis for ς‐tempered fractional‐order systems
Sign Up to like & getrecommendations! Published in 2025 at "Asian Journal of Control"
DOI: 10.1002/asjc.3622
Abstract: The paper deals with ς$$ \varsigma $$ ‐tempered fractional derivatives, along with their stability properties. Firstly, we obtain the derivative inequalities, which are essential in applying the theorems derived in this work. Then, by using… read more here.
Keywords: fractional order; stability; stability analysis; order systems ... See more keywords
Proportional integral observer design for T‐S fuzzy fractional‐order systems with multiple faults
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DOI: 10.1002/asjc.3763
Abstract: This article proposes a fuzzy fractional‐order proportional integral observer (FFOPIO) design strategy for T‐S fuzzy fractional‐order systems. Compared with the previous studies, the T‐S fuzzy model is used to characterize nonlinear fractional‐order systems, which eliminates… read more here.
Keywords: fuzzy fractional; fractional order; proportional integral; design ... See more keywords
New integral inequalities and asymptotic stability of fractional-order systems with unbounded time delay
Sign Up to like & getrecommendations! Published in 2018 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-018-4439-z
Abstract: The stability analysis of fractional-order systems with unbounded delay remains an open problem. In this paper, we firstly explore two new integral inequalities. Using these two integral inequalities obtained, the Halanay inequality with unbounded delay… read more here.
Keywords: order systems; order; fractional order; integral inequalities ... See more keywords
Clarify the physical process for fractional dynamical systems
Sign Up to like & getrecommendations! Published in 2020 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-020-05637-z
Abstract: Dynamics in fractional order systems has been discussed extensively for presenting a possible guidance in the field of applied mathematics and interdisciplinary science. Within hundreds and thousands of reviews, regular papers and drafts, many fractional… read more here.
Keywords: order systems; fractional order; clarify physical; dynamical systems ... See more keywords
Reduced-Order Model Approximation of Fractional-Order Systems Using Differential Evolution Algorithm
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Control, Automation and Electrical Systems"
DOI: 10.1007/s40313-017-0356-5
Abstract: In this paper, we authors propose to use an optimization technique known as Differential Evolution (DE) optimizer for the approximation of fractional-order systems with rational functions of low order. Usual integer-order models with eleven unknown… read more here.
Keywords: order systems; order; approximation; fractional order ... See more keywords
LMI-based stability analysis of fractional order systems of neutral type with time varying delays under actuator saturation
Sign Up to like & getrecommendations! Published in 2021 at "Computational and Applied Mathematics"
DOI: 10.1007/s40314-021-01522-6
Abstract: This article addresses the stability of uncertain fractional order systems of neutral type under actuator saturation. Some criteria regarding the asymptotic robust stability of such type of systems are constructed with the help of the… read more here.
Keywords: neutral type; order; order systems; fractional order ... See more keywords
Mixing sliding mode and linear differentiators for 2nd and 3rd order systems
Sign Up to like & getrecommendations! Published in 2020 at "IFAC-PapersOnLine"
DOI: 10.1016/j.ifacol.2020.12.1123
Abstract: Abstract High-gain observers and sliding mode observers are two of the most common techniques to design observers (or differentiators) for lower triangular nonlinear dynamics. While sliding mode observers can handle bounded nonlinearities, high-gain linear techniques… read more here.
Keywords: mode linear; sliding mode; mixing sliding; linear differentiators ... See more keywords
The output feedback control synthesis for a class of singular fractional order systems.
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DOI: 10.1016/j.isatra.2017.04.020
Abstract: This paper investigates the output feedback normalization and stabilization for singular fractional order systems with the fractional commensurate order α belonging to (0,2). Firstly, an effective criterion for the normalization of singular fractional order systems… read more here.
Keywords: order systems; output feedback; order; singular fractional ... See more keywords
Design of simple nonovershooting controllers for linear high order systems with or without time delay
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DOI: 10.1038/s41598-023-49802-x
Abstract: In this paper, we mainly considered the problem of nonovershooting control of high order systems with or without time delay by simple controllers. As basic principles for nonovershooting control systems, three propositions are offered and… read more here.
Keywords: systems without; high order; without time; order ... See more keywords
Predefined-time integral sliding mode control of second-order systems
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DOI: 10.1080/00207721.2020.1815893
Abstract: This manuscript introduces the design of a controller that ensures predefined-time convergence for a class of second-order systems. In contrast to finite- and fixed-time controllers, predefined-time schemes allow to prescribe a bound for the convergence… read more here.
Keywords: order systems; predefined time; second order; time ... See more keywords
Novel robust stability conditions of fractional-order systems with structured uncertain parameters based on parameter-dependent functions: the 0
Sign Up to like & getrecommendations! Published in 2022 at "International Journal of General Systems"
DOI: 10.1080/03081079.2022.2132489
Abstract: ABSTRACT In this paper, the robust stability of fractional-order systems with fractional order and structured uncertain parameters is considered. Firstly, novel robust stability conditions of the above systems are presented based on the parameter-dependent polynomial… read more here.
Keywords: order systems; fractional order; parameter dependent; robust stability ... See more keywords