Zobrazeno 1 - 10
of 39
pro vyhledávání: '"Małgorzata Wyrwas"'
Publikováno v:
Mathematics, Vol 8, Iss 10, p 1751 (2020)
Linear autonomous incommensurate systems that consist of two fractional-order difference equations of Caputo-type are studied in terms of their asymptotic stability and instability properties. More precisely, the asymptotic stability of the considere
Externí odkaz:
https://doaj.org/article/cc73480a2ed842f8a3fcee3a31d1e63e
Publikováno v:
Entropy, Vol 22, Iss 7, p 771 (2020)
In this paper, we discuss the implementation and tuning algorithms of a variable-, fractional-order Proportional–Integral–Derivative (PID) controller based on Grünwald–Letnikov difference definition. All simulations are executed for the third-
Externí odkaz:
https://doaj.org/article/2fd435fd343641c1bcb2d34828090245
Autor:
Zbigniew Bartosiewicz, Ülle Kotta, Tanel Mullari, Maris Tõnso, Ewa Pawluszewicz, Małgorzata Wyrwas
Publikováno v:
Nonlinear Analysis, Vol 21, Iss 4 (2016)
The backward shift and nabla derivative operators, defined by the control system on homogeneous time scale, in vector spaces of one-forms and vector fields are introduced and some of their properties are proven. In particular the formulas for compone
Externí odkaz:
https://doaj.org/article/8004b24f56734b539fcc8414ce61e91d
Autor:
Dorota Mozyrska, Małgorzata Wyrwas
Publikováno v:
Discrete Dynamics in Nature and Society, Vol 2015 (2015)
The Caputo-, Riemann-Liouville-, and Grünwald-Letnikov-type difference initial value problems for linear fractional-order systems are discussed. We take under our consideration the possible solutions via the classical Z-transform method. We stress t
Externí odkaz:
https://doaj.org/article/a1b25f9448a04407b52ebc56f63309fc
Publikováno v:
Abstract and Applied Analysis, Vol 2013 (2013)
We study the subject of a behaviour of the solutions of systems with sequential fractional h-differences. We give formulas for the unique solutions to initial value problems for systems in linear and semilinear cases. Moreover, the sufficient conditi
Externí odkaz:
https://doaj.org/article/f831f3ab77be4348b9d9a024408b7fa3
Publikováno v:
ISA Transactions. 125:260-267
In this paper, an optimisation method utilising the yellow saddle goatfish algorithm (YSGA) with a new fitness function is proposed to design two types of fractional-variable-order PID (FVOPID) digital controllers for the automatic voltage regulator
Autor:
Ewa Pawluszewicz, Małgorzata Wyrwas, Ülle Kotta, Zbigniew Bartosiewicz, Yu Kawano, Arvo Kaldmäe, Ashutosh Simha
Publikováno v:
IEEE Transactions on Automatic Control. 66:3781-3788
This article addresses the problem of checking the accessibility property for nonlinear single-input–single-output retarded time-delay systems with constant commensurable delays, described by higher order input–output functional differential equa
Publikováno v:
Fractional Calculus and Applied Analysis. 22:807-824
Publikováno v:
Nonlinear Analysis: Hybrid Systems. 31:69-85
The paper addresses the problem of static state feedback linearization for nonlinear control systems defined on homogeneous time scales. Necessary and suf- ficient conditions for generic local linearizability of the considered systems by static state
Autor:
Małgorzata Wyrwas
Publikováno v:
Journal of Mathematical Analysis and Applications. 469:935-959
The paper develops the algebraic formalism that is based on the language of ideals and modules associated with the analytic control system given by the ordinary differential equations. Using the Nagano theorem we show how the integral manifolds of Li