PL
 |
EN
Ograniczanie wyników
Czasopisma help
  1. 14 Bulletin of the Polish Academy of Sciences. Technical Sciences
  2. 12 Archives of Control Sciences
  3. 5 Przegląd Elektrotechniczny
  4. 4 Control and Cybernetics
  5. 4 International Journal of Applied Mathematics and Computer Science
Więcej...
Autorzy help
  1. 13 Kaczorek T.
  2. 6 Busłowicz M.
  3. 6 Mitkowski W.
  4. 4 Ruszewski A.
  5. 3 Krokavec D.
Więcej...
Lata help
  1. 1 2024
  2. 2 2023
  3. 1 2022
  4. 1 2020
  5. 2 2017
Więcej...
Preferencje help
Polish version English version Język
Widoczny [Schowaj] Abstrakt
Liczba wyników

Znaleziono wyników: 64

Liczba wyników na stronie
first rewind previous Strona / 4 next fast forward last
Wyniki wyszukiwania
Wyszukiwano:
w słowach kluczowych:  asymptotic stability
help Sortuj według:

help Ogranicz wyniki do:
first rewind previous Strona / 4 next fast forward last
1
Content available On applications of quasi-Abelian Cayley graphs to Denial-of-Service protection
Girejko Ewa, Malinowska Agnieszka B.
Bulletin of the Polish Academy of Sciences. Technical Sciences
|
2024
|
Vol. 72, nr 3
art. no. e149232
EN
This paper addresses the problem of designing secure control for networked multi-agent systems (MASs) under Denial-of-Service (DoS) attacks. We propose a constructive design method based on the interaction topology. The MAS with a non-attack communication topology, modelled by quasi-Abelian Cayley graphs subject to DoS attacks, can be represented as a switched system. Using switching theory, we provide easily implementable sufficient conditions for the networked MAS to remain asymptotically stable despite DoS attacks. Our results are applicable to both continuous-time and discrete-time systems, as well as to discrete-time systems with variable steps or systems that combine discrete and continuous times.
2
Content available Existence and asymptotic stability for generalized elasticity equation with variable exponent
Dilmi Mohamed, Otmani Sadok
Opuscula Mathematica
|
2023
|
Vol. 43, no. 3
409--428
EN
In this paper we propose a new mathematical model describing the deformations of an isotropic nonlinear elastic body with variable exponent in dynamic regime. We assume that the stress tensor σp(·) has the form σp(·)(u) =(2μ + |d(u)|p(·)−2) d(u) + λTr (d(u)) I3, where u is the displacement field, μ, λ are the given coefficients d(·) and I3 are the deformation tensor and the unit tensor, respectively. By using the Faedo-Galerkin techniques and a compactness result we prove the existence of the weak solutions, then we study the asymptotic behaviour stability of the solutions.
3
Content available A formula for the lower Bohl exponent of discrete time-varying systems
Czornik Adam, Simek Krzysztof
Archives of Control Sciences
|
2023
|
Vol. 33, No. 2
413--424
EN
In this note, a formula for the lower Bohl exponent of a discrete system with variable coefficients and weak variation was proved. This formula expresses the Bohl exponent through the eigenvalues of the coefficient matrix. Based on these formulas a necessary and sufficient condition for an uniform exponential instability of such systems is also presented.
4
Content available New event based H∞ state estimation for discrete-time recurrent delayed semi-markov jump neural networks via a novel summation inequality
Cao Yang, Maheswari K., Dharan S., Sivaranjani K.
Journal of Artificial Intelligence and Soft Computing Research
|
2022
|
Vol. 12, No. 3
207--227
EN
This paper investigates the event-based state estimation for discrete-time recurrent delayed semi-Markovian neural networks. An event-triggering protocol is introduced to find measurement output with a specific triggering condition so as to lower the burden of the data communication. A novel summation inequality is established for the existence of asymptotic stability of the estimation error system. The problem addressed here is to construct an H∞ state estimation that guarantees the asymptotic stability with the novel summation inequality, characterized by event-triggered transmission. By the Lyapunov functional technique, the explicit expressions for the gain are established. Finally, two examples are exploited numerically to illustrate the usefulness of the new methodology.
5
Content available Exact determinantions of maximal output admissible set for a class of semilinear discrete systems
El Bhih Amine, Benfatah Youssef, Rachik Mostafa
Archives of Control Sciences
|
2020
|
Vol. 30, No. 3
523--552
EN
Consider the semilinear system defined by {x(i+1)=Ax(i)+f(x(i)), i≥0 x(0)=x0∈Rn and the corresponding output signal y(i)=C x(i), i≥0, where A is a n×n matrix, C is a p x n matrix and f is a nonlinear function. An initial state x(0) is output admissible with respect to A, f, C and a constraint set Ω ⊂ Rp, if the output signal (y(i)i associated to our system satisfies the condition y(i) ∈ Ω, for every integer i≥0. The set of all possible such initial conditions is the maximal output admissible set Γ(Ω). In this paper we will define a new set that characterizes the maximal output set in various systems(controlled and uncontrolled systems) .Therefore, we propose an algorithmic approach that permits to verify if such set is finitely determined or not. The case of discrete delayed systems is taken into consideration as well. To illustrate our work, we give various numerical simulations.
6
Content available Measures of noncompactness in a Banach algebra and their applications
Dudek S.
Journal of Mathematics and Applications
|
2017
|
Vol. 40
69--84
EN
In this paper we study the existence of solutions of a nonlinear quadratic integral equation of fractional order. This equation is considered in the Banach space of real functions defined, continuous and bounded on the real half axis. Additionally, using the technique of measures of noncompactness we obtain some characterization of considered integral equation. We provide also an example illustrating the applicability of our approach.
7
Content available Stabilization of discrete-time LTI positive systems
Krokavec D., Filasová A.
Archives of Control Sciences
|
2017
|
Vol. 27, no. 4
575--594
EN
The paper mitigates the existing conditions reported in the previous literature for control design of discrete-time linear positive systems. Incorporating an associated structure of linear matrix inequalities, combined with the Lyapunov inequality guaranteing asymptotic stability of discrete-time positive system structures, new conditions are presented with which the state-feedback controllers and the system state observers can be designed. Associated solutions of the proposed design conditions are illustrated by numerical illustrative examples.
8
Content available remote Assessment of stability margin of linear parametric amplifiers by the frequency symbolic method
Shapovalov Y., Mandziy B., Bachyk D.
Przegląd Elektrotechniczny
|
2016
|
R. 92, nr 7
108--111
EN
This paper considers the problem of assessment of stability margin of linear periodically-time-variable circuits, in particular parametric amplifiers, which was investigated using the frequency symbolic method. The assessment of circuit stability is carried out by the real parts of the denominator roots of a normal parametric transfer function, which is defined by the frequency symbolic method in the form of the approximation of Fourier polynomials. The calculation is performed in an MATLAB environment.
PL
Praca przedstawia problem oceny marginesu stabilności obwodów liniowych, zmiennych w czasie. Rozważania dotyczą w szczególności wzmacniacza parametrycznego, analizowanego przy użyciu metody symbolicznej w dziedzinie częstotliwości. Stabilność jest określana na podstawie części rzeczywistej biegunów transmitancji obwodu parametrycznego, zdefiniowanej przy użyciu aproksymacji wielomianami Fouriera. Obliczenia numeryczne zostały wykonane przy zastosowaniu programu Matlab.
9
Content available Stability conditions for linear continuous-time fractional-order state-delayed systems
Busłowicz M.
Bulletin of the Polish Academy of Sciences. Technical Sciences
|
2016
|
Vol. 64, nr 1
3--7
EN
The stability problem of continuous-time linear fractional order systems with state delay is considered. New simple necessary and sufficient conditions for the asymptotic stability are established. The conditions are given in terms of eigenvalues of the state matrix and time delay. It is shown that in the complex plane there exists such a region that location in this region of all eigenvalues of the state matrix multiplied by delay in power equal to the fractional order is necessary and sufficient for the asymptotic stability. Parametric description of boundary of this region is derived and simple new analytic necessary and sufficient conditions for the stability are given. Moreover, it is shown that the stability of the fractional order system without delay is necessary for the stability of this system with delay. The considerations are illustrated by a numerical example.
10
Content available D-decomposition technique for stabilization of Furuta pendulum: fractional approach
Mandić P. D., Lazarević M. P., Šekara T. B.
Bulletin of the Polish Academy of Sciences. Technical Sciences
|
2016
|
Vol. 64, nr 1
189--196
EN
In this paper, the stability problem of Furuta pendulum controlled by the fractional order PD controller is presented. A mathematical model of rotational inverted pendulum is derived and the fractional order PD controller is introduced in order to stabilize the same. The problem of asymptotic stability of a closed loop system is solved using the D-decomposition approach. On the basis of this method, analytical forms expressing the boundaries of stability regions in the parameters space have been determined. The D-decomposition method is investigated for linear fractional order systems and for the case of linear parameter dependence. In addition, some results for the case of nonlinear parameter dependence are presented. An example is given and tests are made in order to confirm that stability domains have been well calculated. When the stability regions have been determined, tuning of the fractional order PD controller can be carried out.
11
Content available Analysis of positivity and stability of fractional discrete-time nonlinear systems
Kaczorek T.
Bulletin of the Polish Academy of Sciences. Technical Sciences
|
2016
|
Vol. 64, nr 3
491--494
EN
The positivity and asymptotic stability of the fractional discrete-time nonlinear systems are addressed. Necessary and sufficient conditions for the positivity and sufficient conditions for the asymptotic stability of the fractional nonlinear systems are established. The proposed stability tests are based on an extension of the Lyapunov method to the positive fractional nonlinear systems. The effectiveness of tests is demonstrated on examples.
12
Content available Practical and asymptotic stability of fractional discrete-time scalar systems described by a new model
Ruszewski A.
Archives of Control Sciences
|
2016
|
Vol. 26, no. 4
441--452
EN
The stability problems of fractional discrete-time linear scalar systems described by the new model are considered. Using the classical D-partition method, the necessary and sufficient conditions for practical stability and asymptotic stability are given. The considerations are il-lustrated by numerical examples.
13
Content available remote Positivity and stability of discrete-time and continuous-time nonlinear systems
Kaczorek T.
Przegląd Elektrotechniczny
|
2015
|
R. 91, nr 8
127--130
PL
Przedstawione zostaną dodatnie i stabilne asymptotycznie nieliniowe układy dyskretne i ciągłe. Podane zostaną warunki wystarczające dodatniości i stabilności asymptotycznej układów nieliniowych. Proponowane metody badania stabilności zostaną oparte na uogólnieniu metody Lyapunova. Efektywność testów zostanie zademonstrowana na przykładach numerycznych.
EN
The positivity and asymptotic stability of the discrete-time and continuous-time nonlinear systems are addressed. Sufficient conditions for the positivity and asymptotic stability of the nonlinear systems are established. The proposed stability tests are based on an extension of the Lyapunov method to the positive nonlinear systems. The effectiveness of the tests are demonstrated on examples.
14
Content available Positivity and stability of time-varying fractional discrete-time linear systems
Kaczorek T., Borawski K.
Measurement Automation Monitoring
|
2015
|
Vol. 61, No. 3
84--87
EN
Necessary and sufficient conditions for the positivity of time-varying fractional discrete-time linear systems are established. The problem of asymptotic stability of the positive time-varying fractional discrete-time linear systems is analyzed and sufficient conditions are given. Considerations are illustrated by numerical examples.
15
Content available Positivity and asymptotic stability of descriptor linear systems with regular pencils
Kaczorek T.
Archives of Control Sciences
|
2014
|
Vol. 24, no. 2
193--205
EN
The positivity and asymptotic stability of the descriptor linear continuous-time and discrete-time systems with regular pencils are addressed. Necessary and sufficient conditions for the positivity and asymptotic stability of the systems are established using the Drazin inverse matrix approach. Effectiveness of the conditions are demonstrated on numerical examples.
16
Content available Stability conditions of fractional discrete-time scalar systems with pure delay
Ruszewski A.
Pomiary Automatyka Robotyka
|
2013
|
R. 17, nr 2
340-344
EN
In the paper the problem of stability of fractional discrete-time linear scalar systems with state space pure delay is considered. Using the classical D-decomposition method, the necessary and sufficient condition for practical stability as well as the sufficient condition for asymptotic stability are given.
PL
W pracy rozpatrzono problem stabilności liniowych skalarnych układów dyskretnych niecałkowitego rzędu z czystym opóźnieniem zmiennych stanu. Wykorzystując metodę podziału D podano warunek konieczny i wystarczający praktycznej stabilności oraz warunek wystarczający stabilności asymptotycznej.
17
Content available On the stability of continuous-time positive switched systems with rank one difference
Fornasini E., Valcher M. E.
Control and Cybernetics
|
2013
|
Vol. 42, no. 1
47--62
EN
Continuous-time positive systems, switching among p subsystems whose matrices differ by a rank one matrix, are introduced, and a complete characterization of the existence of a common linear copositive Lyapunov function for all the subsystems is provided. Also, for this class of systems it is proved that a well-known necessary condition for asymptotic stability, namely the fact that All convex combinations of the system matrices are Hurwitz, becomes equivalent to the generally weaker condition that the systems matrices are Hurwitz. In the special case of two-dimensional systems, this allows for drawing a complete characterization of asymptotic stability. Finally, the case when there are only two subsystems, possibly with commuting matrices, is investigated.
18
Content available Stability of positive fractional switched continuous-time linear systems
Kaczorek T.
Bulletin of the Polish Academy of Sciences. Technical Sciences
|
2013
|
Vol. 61, nr 2
349--352
EN
The asymptotic stability of positive fractional switched continuous-time linear systems for any switching is addressed. Simple sufficient conditions for the asymptotic stability of the positive fractional systems are established. It is shown that the positive fractional switched systems are asymptotically stable for any switchings if the sum of entries of every column of the matrices of all subsystems is negative.
19
Content available Simple sufficient conditions for asymptotic stability of positive linear systems for any switchings
Kaczorek T.
Bulletin of the Polish Academy of Sciences. Technical Sciences
|
2013
|
Vol. 61, nr 2
343--347
EN
The asymptotic stability of positive switched linear systems for any switchings is addressed. Simple sufficient conditions for the asymptotic stability of positive switched continuous-time and discrete-time linear systems are established. It is shown that the positive switched continuous-time (discrete-time) system is asymptotically stable for any switchings if the sum of entries of every column of the matrices of subsystems is negative (less than 1)
20
Content available Necessary and sufficient conditions for stability of fractional discrete-time linear state-space systems
Busłowicz M., Ruszewski A.
Bulletin of the Polish Academy of Sciences. Technical Sciences
|
2013
|
Vol. 61, nr 4
779--786
EN
In the paper the problems of practical stability and asymptotic stability of fractional discrete-time linear systems are addressed. Necessary and sufficient conditions for practical stability and for asymptotic stability are established. The conditions are given in terms of eigenvalues of the state matrix of the system. In particular, it is shown that (similarly as in the case of fractional continuous-time linear systems) in the complex plane exists such a region, that location of all eigenvalues of the state matrix in this region is necessary and sufficient for asymptotic stability. The parametric description of boundary of this region is given. Moreover, it is shown that Schur stability of the state matrix (all eigenvalues have absolute values less than 1) is not necessary nor sufficient for asymptotic stability of the fractional discrete-time system. The considerations are illustrated by numerical examples.
first rewind previous Strona / 4 next fast forward last
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.