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Integer/fractional decomposition of the impulse response of fractional linear systems
Signal Processing, 2015The decomposition of a fractional linear system is discussed in this paper. It is shown that it can be decomposed into an integer order part, corresponding to possible existing poles, and a fractional part. The first and second parts are responsible for the short and long memory behaviors of the system, respectively, known as characteristic of ...
Manuel Duarte Ortigueira +3 more
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control of fractional linear systems
Automatica, 2013Abstract In this paper, the standard H ∞ control problem for continuous-time fractional linear time-invariant single-input–single-output systems is solved. The adopted approach consists of extending to the fractional case the procedure followed within the classical solution for the integer case. According to the classical route, we first
Fabrizio Padula +3 more
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Linear estimator for fractional systems
Signal, Image and Video Processing, 2012We address the issue of state estimation of nonlinear incommensurate fractional-order systems via linear observer in this paper. The basic idea is proposed under a synchronization framework which makes the response system a linear observer for the state of the drive system.
Danial Mohammadi Senejohnny +1 more
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Controllability of Fractional Linear Systems with Delays
2021 25th International Conference on Methods and Models in Automation and Robotics (MMAR), 2021The main purpose of this paper is to study controllability of linear continuous-time fractional dynamical systems containing both lumped constant delay in state variables and distributed delays in admissible controls. Necessary and sufficient conditions for relative controllability in finite time interval are formulated and proved using theory of ...
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Consensus of fractional-order linear systems
2013 9th Asian Control Conference (ASCC), 2013This paper studies the consensus control problem for a group of fractional-order linear multi-agent systems (MAS) with directed interaction topology when the fractional order α satisfies 0
Chao Song, Jinde Cao
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Learnability of Linear Fractional-Order ILC Systems
IEEE Transactions on Circuits and Systems II: Express Briefs, 2021The problem of learnability of linear fractional-order systems is investigated, where the systems have the same dimensions of input and output. Firstly, we show from the viewpoint of dissipativity that why a P-type learning algorithm can enable such systems to possess the perfect tracking capability over a finite time interval.
Panpan Gu, Yangquan Chen, Senping Tian
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A numerical study of fractional linear algebraic systems
Mathematics and Computers in Simulation, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Emmanuel Lorin, Simon Tian
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Regional observability for linear time fractional systems
Mathematics and Computers in Simulation, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Khalid Zguaid +2 more
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Fractional positive linear systems
Kybernetes, 2009PurposeThe purpose of this paper is to introduce a new class of fractional positive continuous‐time and discrete‐time linear systems.Design/methodology/approachSolutions to the state equations of the fractional systems are given.FindingsNecessary and sufficient conditions are established for the internal and external positivity and of the reachability ...
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