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Wyświetlanie 1-15 z 72
Tytuł:
Convex linear combination of the controllability pairs for linear systems
Autorzy:
Kaczorek, Tadeusz
Klamka, Jerzy
Powiązania:
https://bibliotekanauki.pl/articles/2183476.pdf
Data publikacji:
2021
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
convex linear combination
controllability
linear system
Opis:
The convex linear combination of the controllability pairs of linear continuous-time linear systems is defined and its properties are discussed. The main result is obtained using pure algebraic methods. In the illustrative examples different cases of linear convex combinations are analyzed.
Źródło:
Control and Cybernetics; 2021, 50, 4; 541--551
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Simple conditions for robust stability of positive discrete-time linear systems with delays
Autorzy:
Busłowicz, M.
Powiązania:
https://bibliotekanauki.pl/articles/970235.pdf
Data publikacji:
2010
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
stability
robust stability
linear system
delays
linear uncertainty
interval system
Opis:
The paper is devoted to the problem of robust stability of positive linear discrete-time systems with delays in the case of structured perturbations of state matrices. Simple new necessary and sufficient conditions for robust stability in the general case and in the case of system with linear uncertainty structure are established for two sub-cases: 1) unity rank uncertainty structure, 2) non-negative perturbation matrices. It is shown that robust stability of the positive discrete-time linear system with delays is equivalent to: 1) robust stability of the corresponding positive system without delays of the same order as time-delay system - in the general case, 2) asymptotic stability of finite family of the positive vertex systems without delays - in the case of a linear unity rank uncertainty structure, 3) asymptotic stability of only one positive vertex system without delays - in the case of a linear uncertainty structure with non-negative perturbation matrices.
Źródło:
Control and Cybernetics; 2010, 39, 4; 1159-1171
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Adaptive control for a jump linear system with quadratic cost
Autorzy:
Czornik, A.
Powiązania:
https://bibliotekanauki.pl/articles/970422.pdf
Data publikacji:
2004
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
sterowanie adaptacyjne
adaptive control
jump linear systems
linear quadratic problem
Opis:
The adaptive control problem for a jump linear system with quadratic cost functional on infinite time interval is solved in this paper. It is assumed that the coefficients of the state equation are unknown but a compact set that contains the parameters is known. A diminishing excitation accompanies the adaptive control signal, to ensure the strong consistency of the weighted least squares algorithm.
Źródło:
Control and Cybernetics; 2004, 33, 1; 51-69
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A locally polynomial method for solving a system of linear inequalities
Autorzy:
Evtushenko, Yuri
Szkatuła, Krzysztof
Tretyakov, Alexey
Powiązania:
https://bibliotekanauki.pl/articles/2183463.pdf
Data publikacji:
2021
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
linear programming
system of linear inequalities
computational complexity
locally-polynomial algorithm
convergence rate
Opis:
The paper proposes a method for solving systems of linear inequalities. This method determines in a finite number of iterations whether the given system of linear ineqalities has a solution. If it does, the solution for the given system of linear inequalities is provided. The computational complexity of the proposed method is locally polynomial.
Źródło:
Control and Cybernetics; 2021, 50, 2; 301--314
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On descriptor systems and related linear quadratic problem
Autorzy:
Gessing, R.
Czornik, A.
Powiązania:
https://bibliotekanauki.pl/articles/206689.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
descriptor system
linear quadratic problem
Opis:
It is shown that a descriptor system under the condition of impulse controllability, Cobb (1984), may be converted, by means of linear transformations, to a system described in a state space and composed of state and output equations. The transfomations determine one to one correspondence between the solutions of both the systems. It is noted that the control in a feedback form may not determine a unique solution of the descriptor system what is often overlooked in many previous papers. It is also shown that the LCD problem formulated in a descriptor space for the impulse observable system, Cobb (1984); may be converted by means of linear transformations to the usual LQ problem formulated in the state space. It is stressed that the second problem may be regular even then, when the weighting matrix of the control, in the cost functional of the first problem, is singular. The proposed approach simplifies the calculations related to the LQ problem solution significantly.
Źródło:
Control and Cybernetics; 2000, 29, 1; 79-89
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the stability of continuous-time positive switched systems with rank one difference
Autorzy:
Fornasini, E.
Valcher, M. E.
Powiązania:
https://bibliotekanauki.pl/articles/971053.pdf
Data publikacji:
2013
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
switched system
positive linear system
asymptotic stability
linear copositive Lyapunov function quadratic Lyapunov function
Opis:
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.
Źródło:
Control and Cybernetics; 2013, 42, 1; 47-62
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A remark on sensitivity in linear programming and Gale-Samuelson nonsubstitution theorem
Autorzy:
De Giuli, M. E.
Giorgi, G.
Powiązania:
https://bibliotekanauki.pl/articles/969906.pdf
Data publikacji:
2010
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
linear programming
sensitivity analysis
nonsubstitution theorem
Opis:
The main purpose of this paper is to show that David Gale's result (1960, Lemma 9.3 on sensitivity in linear programming) is not generally valid. In this lemma, additional assumptions, that are instead required, are not made. We give some correct versions of the above mentioned lemma, and with these an elementary proof of the Gale-Samuelson nonsubstitution theorem.
Źródło:
Control and Cybernetics; 2010, 39, 3; 827-838
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Singular fractional discrete-time linear systems
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/206067.pdf
Data publikacji:
2011
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
decomposition
singular
fractional
linear system
solution
Opis:
A new class of singular fractional linear discretetime systems is introduced. Using the Weierstrass regular pencil decomposition the solution to the state equation of singular fractional linear systems is derived. The considerations are illustrated by numerical examples.
Źródło:
Control and Cybernetics; 2011, 40, 3; 753-761
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Method of identifying a type 2 membership function and application to decision-making problems
Autorzy:
Uemura, Y.
Powiązania:
https://bibliotekanauki.pl/articles/970059.pdf
Data publikacji:
2015
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
type 2 membership function
fuzzy linear regression model
fuzzy log-linear regression model
fuzzy linear polynomial regression model
indifferent zone
decision rule on a fuzzy event
Opis:
Tanaka (1991) suggested that the parameters of a linear regression model should be made fuzzy In order to better reflect the nature of the system, involving a definite degree of variability, and created a fuzzy linear regression model. This model can be formulated in the form of a linear programming problem that minimizes the span between the upper and lower limits under the constraints that include all data. In recent years, all the attention in this context has been focused on a fuzzy number that has an indifferent zone. A fuzzy number that we consider here is defined by using a type 2 membership function. This paper addresses the fact that a type 2 membership function has the upper and lower limits and shows that a type 2 membership function can be identified by expanding a fuzzy linear regression model into a fuzzy linear polynomial regression model. Finally, after a proposed fuzzy polynomial model is identified, a mathematical model is developed for a fuzzy decision-making method that accounts for an indifferent zone.
Źródło:
Control and Cybernetics; 2015, 44, 3; 399-406
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Immunization and convex interest rate shifts
Autorzy:
Barber, J. R.
Powiązania:
https://bibliotekanauki.pl/articles/206488.pdf
Data publikacji:
2013
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
immunization
yield curve
linear factor model
convexity
Opis:
An important issue in immunization theory is the form of the interest rate process under which immunization is feasible. This paper generalizes Fisher and Weil immunization result to convex interest rate shifts, and examines the practical significance of this generalization. We examine the features of a linear factor model that are consistent with a convex shift. In particular, we show that a specific two factor linear model is sufficient and necessary for a convex shift. This two factor specification allows parallel and damped yield curve shifts, which in combination can twist the yield curie.
Źródło:
Control and Cybernetics; 2013, 42, 1; 259-266
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Positivity and stability of fractional discrete-time linear systems. The model without a time shift in the difference
Autorzy:
Kaczorek, T.
Ostalczyk, P.
Powiązania:
https://bibliotekanauki.pl/articles/206611.pdf
Data publikacji:
2017
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
positivity
stability
fractional discrete-time linear systems
Opis:
The positivity and stability of fractional discretetime linear systems described by a new model are addressed. Necessary and sufficient conditions for the positivity and asymptotic stability of the systems are established. New tests for checking of the stability are proposed.
Źródło:
Control and Cybernetics; 2017, 46, 1; 27-36
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stabilization of linear systems in random horizon via control
Autorzy:
Kozłowski, E.
Powiązania:
https://bibliotekanauki.pl/articles/206800.pdf
Data publikacji:
2013
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
optimal control
linear quadratic control
random horizon
stability
Opis:
The control problem with random horizon at finie number of events is investigated in this paper, where the general aim of control is the stabilization (in mean square sense) of linear system at minimum cost. This problem is reduced to the task of optima control with established finite horizon. Moreover, the differences between stabilization with fixed and random horizons are also given. To illustrate those differences a numerical example is included.
Źródło:
Control and Cybernetics; 2013, 42, 2; 527-541
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Uniform energy decay rates of hyperbolic equations with nonlinear boundary and interior dissipation
Autorzy:
Lasiecka, I.
Triggiani, R.
Powiązania:
https://bibliotekanauki.pl/articles/970305.pdf
Data publikacji:
2008
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
non-linear hyperbolic equations
uniform energy decay rates
Opis:
We consider the problem of uniform stabilization of nonlinear hyperbolic equations, epitomized by the following three canonical dynamics: (1) the wave equation in the natural state space L2(Ω) x H^-1(Ω), under nonlinear (and non-local) boundary dissipation in the Dirichlet B.C., as well as nonlinear internal damping; (2) a corresponding Kirchhoff equation in the natural state space [wzór), under nonlinear boundary dissipation in the 'moment' B.C. as well as nonlinear internal damping; (3) the system of dynamic elasticity corresponding to (1). All three dynamics possess a strong, hard-to-show 'boundary → boundary' regularity property, which was proved, also by invoking a micro-local argument, in Lasiecka and Triggiani (2004, 2008). This is by no means a general property of hyperbolic or hyperbolic-like dynamics (Lasiecka and Triggiani, 2003, 2008). The present paper, as a continuation of Lasiecka and Triggiani (2008), seeks to take advantage of this strong regularity property in the case of those PDE dynamics where it holds true. Thus, under the above boundary → boundary regularity, as well as exact controllability of the corresponding linear model, uniform stabilization of nonlinear models is obtained under minimal nonlinear assumptions, provided that a corresponding unique continuation property holds true. The treatment of the present paper is cast in the abstract setting (Lasiecka, 1989, 2001; Lasiecka and Triggiani, 2000, Ch. 7, 2003, 2008), which is proper for these hyperbolic dynamics and recovers the results of Lasiecka and Triggiani (2003, 2008) in the absence of the nonlinear interior damping, in particular in the linear case.
Źródło:
Control and Cybernetics; 2008, 37, 4; 935-969
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Evolving ensembles of linear classifiers by means of clonal selection algorithm
Autorzy:
Bereta, M.
Burczyński, T.
Powiązania:
https://bibliotekanauki.pl/articles/969829.pdf
Data publikacji:
2010
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
artificial immune systems
clonal selection
linear classifiers
bagging
boosting
Opis:
Artificial immune systems (AIS) have become popular among researchers and have been applied to a variety of tasks. Developing supervised learning algorithms based on metaphors from the immune system is still an area in which there is much to explore. In this paper a novel supervised immune algorithm based on clonal selection framework is proposed. It evolves a population of linear classifiers used to construct a set of classification rules. Aggregating strategies, such as bagging and boosting, are shown to work well with the proposed algorithm as the base classifier.
Źródło:
Control and Cybernetics; 2010, 39, 2; 325-342
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stabilization of fractional positive continuous-time linear systems with delays in sectors of left half complex plane by state-feedbacks
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/969916.pdf
Data publikacji:
2010
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
fractional
positive
continuous-time
linear
system
state-feedback
stabilization
Opis:
The problem of stabilization of fractional positive linear continuous-time linear systems with delays by state-feedbacks is addressed. The gain matrix of the state feedback is chosen so that the zeros of the closed-loop polynomial are located in a sector of the left half of complex plane. Necessary and sufficient conditions for the solvability of the problem are established and a procedure for computation of a gain matrix of the feedback is proposed. The considerations are illustrated by a numerical example.
Źródło:
Control and Cybernetics; 2010, 39, 3; 783-795
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 72

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