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Positive Fractional Linear Systems

2010
The 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, 2001
A 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, 2018
zbMATH 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

2020
Using 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, 2023
Khizra Bukhsh, Awais Younus
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Fractional Descriptor Linear Systems

2021
Tadeusz Kaczorek, Kamil Borawski
openaire   +1 more source

Minimum Energy Control of Linear Fractional Systems

2015
The 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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Positive Linear Systems Consisting of n Subsystems With Different Fractional Orders

IEEE Transactions on Circuits and Systems I: Regular Papers, 2011
Tadeusz Kaczorek
exaly  

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