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Positive Fractional Linear Systems
2010The main purpose of this paper is to give an overview of some recent results on positive fractional continuous-time and discrete-time linear systems.
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Stability Analysis of a Linear-Fractional Delay System
Differential Equations, 2001A nonlinear system of functional-differential equations with delay \[ \frac{dx(t)}{dt}=\{-V[A+X(t)]^{-1}+D[X(t)-B]^{-1}\}x(t) +Qx(t-\tau)+X(t-\tau)Gx(t-\tau) \tag{1} \] is considered, and the asymptotic stability of its solution \(x(t)\equiv 0\) is studied.
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Anisotropic Suboptimal Control for Systems with Linear-Fractional Uncertainty
Automation and Remote Control, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Michael M. Tchaikovsky +1 more
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Linearization of Fractional Nonlinear Systems by State-Feedbacks
2020Using the conformable fractional derivative the notions of Lie derivative and full relative degree are extended to the fractional nonlinear systems. The canonical form of the fractional nonlinear systems is introduced and sufficient conditions for the existence of the canonical form for the systems are established.
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On the controllability and observability of fractional proportional linear systems
International Journal of Systems Science, 2023Khizra Bukhsh, Awais Younus
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Minimum Energy Control of Linear Fractional Systems
2015The minimum energy control problem of infinite-dimensional fractional-discrete time linear systems is addressed. Necessary and sufficient conditions for the exact controllability of the system are established. Sufficient conditions for the solvability of the minimum energy control of the infinite-dimensional fractional discrete-time systems are given ...
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Necessary and Sufficient Stability Condition of Fractional-Order Interval Linear Systems
Automatica, 2008YangQuan Chen, Hyo-Sung Ahn
exaly
Positive Linear Systems Consisting of n Subsystems With Different Fractional Orders
IEEE Transactions on Circuits and Systems I: Regular Papers, 2011Tadeusz Kaczorek
exaly

