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Number of results: 6
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Design of transmultiplexer integer filters

Mariusz Ziółko Michał Nowak
Archives of Control Sciences | 2018 | vol. 28 | No 2 | DOI: 10.24425/123457
Keywords fixed point arithmetic MIMO systems integer digital filters
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Abstract

The designing of transmultiplexer systems relies on determining filters for the transmitter and receiver sides of multicarrier communication system. The perfect reconstruction conditions lead to the bilinear equations for FIR filter coefficients. Generally there is no way of finding all possible solutions. This paper describes methods of finding a large family of solutions. Particular attention is devoted to obtaining algorithms useful in fixed-point arithmetic needed to design the integer filters. As a result, the systems perform perfect reconstruction of signals. Additionally, a simple method is presented to transform any transmultiplexer into an unlimited number of different transmultiplexers. Finally, two examples of integer filters that meet perfect reconstruction conditions are shown. The first illustrates a FIR filter which does not require multiplications. The frequency properties of filters and signals are discussed for the second example.
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Authors and Affiliations

Mariusz Ziółko
Michał Nowak

The applications of fixed-point theorem in optimisation problems

Krzysztof Chwastek
Archives of Electrical Engineering | 2012 | vol. 61 | No 2 June | 189-198 | DOI: 10.2478/v10171-012-0016-0
Keywords optimisation fixed-point theorem hysteresis parameter estimation
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Abstract

The fixed-point theorem is widely used in different engineering applications. The present paper focuses on its applications in optimisation. A Matlab toolbox, chich implements the branch-and-bound optimisation method based on the fixed-point theorem, is used for solving different real-life test problems, including estimation of model parameters for the Jiles-Atherton model.

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Authors and Affiliations

Krzysztof Chwastek

On the constrained and unconstrained controllability of semilinear Hilfer fractional systems

Beata Sikora
Archives of Control Sciences | 2023 | vol. 33 | No 1 | 155-178 | DOI: 10.24425/acs.2023.145118
Keywords Hilfer fractional derivative fractional systems semilinear control systems nonautonomous systems Rothe’s fixed point theorem generalized Darbo fixed point theorem
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Abstract

In the paper finite-dimensional semilinear dynamical control systems described by fractional-order state equations with the Hilfer fractional derivative are discussed. The formula for a solution of the considered systems is presented and derived using the Laplace transform. Bounded nonlinear function �� depending on a state and controls is used. New sufficient conditions for controllability without constraints are formulated and proved using Rothe’s fixed point theorem and the generalized Darbo fixed point theorem. Moreover, the stability property is used to formulate constrained controllability criteria. An illustrative example is presented to give the reader an idea of the theoretical results obtained. A transient process in an electrical circuit described by a system of Hilfer type fractional differential equations is proposed as a possible application of the study.
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Authors and Affiliations

Beata Sikora
1
ORCID: ORCID
  1. Department of Applied Mathematics, Silesian University of Technology, Kaszubska 23, 44-100 Gliwice, Poland

Vibration control of a rotating shaft by passive mass-spring-disc dynamic vibration absorber

Nguyen Duy Chinh
Archive of Mechanical Engineering | 2020 | vol. 67 | No 3 | 279-297 | DOI: 10.24425/ame.2020.131693
Keywords torsional vibration optimal parameters minimum quadratic torque equivalent viscous resistance fixed-point
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Abstract

Shaft is a machine element which is used to transmit rotary motion or torque. During transmission of motion, however, the machine shaft doesn't always rotate with a constant angular velocity. Because of unstable current or due to sudden acceleration and deceleration, the machine shaft will rotate at a variable angular velocity. It is this rotary motion that generates the moment of inertial force, causing the machine shaft to have torsional deformation. However, due to the elasticity of the material, the shaft produces torsional vibration. Therefore, the main objective of this paper is to determine the optimal parameters of dynamic vibration absorber to eliminate torsional vibration of the rotating shaft that varies with time. The new results in this paper are summarized as follows: Firstly, the author determines the optimal parameters by using the minimum quadratic torque method. Secondly, the maximization of equivalent viscous resistance method is used for determining the optimal parameters. Thirdly, the author gives the optimal parameters of dynamic vibration absorber based on the fixed-point method. In this paper, the optimum parameters are found in an explicit analytical solutions, helping the scientists to easily find the optimal parameters for eliminating torsional vibration of the rotating shaft.

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Bibliography

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Authors and Affiliations

Nguyen Duy Chinh
1
  1. Faculty of Mechanical Engineering, Hung Yen University of Technology and Education, HungYen, Vietnam.

Controllability of time varying semilinear non-instantaneous impulsive systems with delay, and nonlocal conditions

Dalia Cabada Katherine Garcia Cristi Guevara Hugo Leiva
Archives of Control Sciences | 2022 | vol. 32 | No 2 | 335-357 | DOI: 10.24425/acs.2022.141715
Keywords exact controllability semilinear time varying control systems non-instantaneous impulses delay nonlocal conditions Rothe’s fixed point theorem
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Abstract

In this paper we prove the exact controllability of a time varying semilinear system considering non-instantaneous impulses, delay, and nonlocal conditions occurring simultaneously. It is done by using the Rothe’s fixed point theorem together with some sub-linear conditions on the nonlinear term, the impulsive functions, and the function describing the nonlocal conditions. Furthermore, a control steering the semilinear system from an initial state to a final state is exhibited.
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Authors and Affiliations

Dalia Cabada
1
Katherine Garcia
2
Cristi Guevara
3
Hugo Leiva
2
ORCID: ORCID
  1. School of Mathematical and Statistical Sciences, Arizona State University, United States of America
  2. School of Mathematical Sciences and Information Technology, Yachay Tech University, Ecuador
  3. Arizona Department of Education, United States of America

Nonlocal controllability of mild solutions for neutral evolution equations with state-dependent delay in Fréchet spaces

Chahrazed Boudefla Selma Baghli-Bendimerad
Archives of Control Sciences | 2024 | vol. 34 | No 1 | 117-148 | DOI: 10.24425/acs.2024.149655
Keywords neutral evolution equations mild solution controllability infinite delay statedependent delay nonlocal conditions fixed point nonlinear alternative semigroup theory Fréchet spaces
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Abstract

In this paper, we prove the controllability of mild solutions of neutral functional evolution equations with state-dependent delay and nonlocal conditions. We establish the non local controllability of mild solutions under certain conditions by combining Avramescu’s nonlinear alternative for the sum of compact and contraction operators in Fréchet spaces with semigroup theory.
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Authors and Affiliations

Chahrazed Boudefla
1
ORCID: ORCID
Selma Baghli-Bendimerad
1
ORCID: ORCID
  1. Po. Box 89, Laboratory of Mathematics, Djillali LiabesUniversity of Sidi Bel-Abbès 22000, Algeria

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