# zbMATH — the first resource for mathematics

## Kaczorek, Tadeusz

Compute Distance To:
 Author ID: kaczorek.tadeusz Published as: Kaczorek, T.; Kaczorek, Tadeusz; Kaczorek, Taduesz External Links: ORCID
 Documents Indexed: 428 Publications since 1960, including 11 Books Reviewing Activity: 396 Reviews Biographic References: 2 Publications
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#### Co-Authors

 362 single-authored 10 Świerkosz, Marek 6 Cichocki, Andrzej 6 Sajewski, Łukasz 3 Borawski, Kamil 3 Busłowicz, Mikołaj 3 Klamka, Jerzy 3 Kozera, Wojciech 3 Przyborowski, Przemysław 3 Rogowski, Krzysztof 3 Stajniak, Andrzej 2 Bang Giang, Nguyen 2 Dąbrowski, Włodzimierz 2 Kociȩcki, Maciej 2 Kurek, Jerzy E. 2 Ostalczyk, Piotr 1 Banaszuk, Andrzej 1 Conte, Giuseppe 1 Dobosz, Michal 1 Dzieliński, Andrzej 1 Idczak, Dariusz 1 Krzeminski, Stanislaw K. 1 Kuźmiński, Krzysztof 1 Łopatka, Rafał 1 Marszałek, Wiesław 1 Mazurek, Janusz 1 Perdon, Anna-Maria 1 Puchalski, A. 1 Ruszewski, Andrzej 1 Sławiński, Maciej 1 Traczyk, Tomasz jun. 1 Wasiak, Grzegorz 1 Żak, Stanislaw H.
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#### Serials

 124 Bulletin of the Polish Academy of Sciences. Technical Sciences 49 International Journal of Applied Mathematics and Computer Science 37 Archives of Control Sciences 27 Bulletin de l’Académie Polonaise des Sciences, Série des Sciences Techniques 25 Foundations of Control Engineering 15 IEEE Transactions on Automatic Control 14 Applied Mathematics and Computer Science 13 Control and Cybernetics 12 International Journal of Control 9 Systems Science 8 Podstawy Sterowania 6 Archiwum Automatyki i Telemechaniki 6 International Journal of Systems Science 6 Zastosowania Matematyki 5 COMPEL 5 Multidimensional Systems and Signal Processing 5 Fractional Calculus & Applied Analysis 3 Regelungstechnik 3 Systems & Control Letters 3 Asian Journal of Control 2 Kybernetika 2 Circuits, Systems, and Signal Processing 2 Systems Analysis, Modelling Simulation 2 Mathematical Problems in Engineering 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Industrial Control Computers and Communications Series 2 Lecture Notes in Control and Information Sciences 2 Studies in Systems, Decision and Control 2 Communications and Control Engineering 1 Kybernetes 1 Avtomatika i Izchislitelna Tekhnika 1 Dynamics of Continuous, Discrete and Impulsive Systems 1 European Journal of Control 1 Discussiones Mathematicae. Differential Inclusions, Control and Optimization
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#### Fields

 391 Systems theory; control (93-XX) 70 Linear and multilinear algebra; matrix theory (15-XX) 48 Ordinary differential equations (34-XX) 19 Real functions (26-XX) 16 Numerical analysis (65-XX) 11 Mechanics of particles and systems (70-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 6 Computer science (68-XX) 4 Field theory and polynomials (12-XX) 4 Difference and functional equations (39-XX) 4 Information and communication theory, circuits (94-XX) 3 Integral transforms, operational calculus (44-XX) 3 Biology and other natural sciences (92-XX) 2 Commutative algebra (13-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Optics, electromagnetic theory (78-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX)

#### Citations contained in zbMATH

194 Publications have been cited 1,561 times in 783 Documents Cited by Year
Positive 1D and 2D systems. Zbl 1005.68175
Kaczorek, Tadeusz
2002
Two-dimensional linear systems. Zbl 0593.93031
Kaczorek, T.
1985
Selected problems of fractional systems theory. Zbl 1221.93002
Kaczorek, Tadeusz
2011
Fractional positive continuous-time linear systems and their reachability. Zbl 1235.34019
Kaczorek, Tadeusz
2008
Linear control systems. Volume 1: Analysis of multivariable systems. Zbl 0784.93002
Kaczorek, Tadeusz
1992
The choice of the forms of Lyapunov functions for a positive 2D Roesser model. Zbl 1234.93089
Kaczorek, Tadeusz
2007
Fractional linear systems and electrical circuits. Zbl 1354.93001
Kaczorek, Tadeusz; Rogowski, Krzysztof
2015
Positive linear systems with different fractional orders. Zbl 1220.78074
Kaczorek, T.
2010
Simple conditions for practical stability of positive fractional discrete-time linear systems. Zbl 1167.93019
Busłowicz, Mikołaj; Kaczorek, Tadeusz
2009
The singular general model of 2-D systems and its solution. Zbl 0655.93046
Kaczorek, Tadeusz
1988
Polynomial and rational matrices. Applications in dynamical systems theory. Zbl 1114.15019
Kaczorek, Tadeusz
2007
LMI approach to stability of 2D positive systems. Zbl 1169.93022
Kaczorek, Tadeusz
2009
Fractional positive linear systems. Zbl 1325.93033
Kaczorek, Tadeusz
2009
Application of the Drazin inverse to the analysis of descriptor fractional discrete-time linear systems with regular pencils. Zbl 1293.93496
Kaczorek, Tadeusz
2013
Minimum energy control of 2-D linear systems with variable coefficients. Zbl 0637.93044
Kaczorek, Tadeusz; Klamka, Jerzy
1986
Realization problem for positive linear systems with time delay. Zbl 1200.93062
Kaczorek, Tadeusz
2005
General response formula and minimum energy control for the general singular model of 2-D systems. Zbl 0705.93057
Kaczorek, Tadeusz
1990
Infinite eigenvalue assignment by an output feedback for singular systems. Zbl 1171.93331
Kaczorek, Tadeusz
2004
A realization problem for positive continuous-time systems with reduced numbers of delays. Zbl 1136.93317
Kaczorek, Tadeusz
2006
Practical stability of positive fractional 2D linear systems. Zbl 1202.93045
Kaczorek, Tadeusz
2010
Pole placement for linear discrete-time systems by periodic output feedbacks. Zbl 0579.93026
Kaczorek, T.
1985
Computation of realizations of discrete-time cone-systems. Zbl 1194.93129
Kaczorek, T.
2006
Reachability and minimum energy control of positive 2D systems with delays. Zbl 1167.93359
Kaczorek, Tadeusz
2005
Linear control systems. Volume 2: Synthesis of multivariable systems and multidimensional systems. Zbl 0784.93003
Kaczorek, Tadeusz
1993
The realization problem for positive and fractional systems. Zbl 1297.93002
Kaczorek, Tadeusz; Sajewski, Łukasz
2014
Checking of the positivity of descriptor linear systems by the use of the shuffle algorithm. Zbl 1264.93096
Kaczorek, Tadeusz
2011
Reachability of cone fractional continuous-time linear systems. Zbl 1169.93004
Kaczorek, Tadeusz
2009
Independence of asymptotic stability of positive 2D linear systems with delays of their delays. Zbl 1167.93023
Kaczorek, Tadeusz
2009
Realization problem for positive fractional hybrid 2D linear systems. Zbl 1154.93017
Kaczorek, Tadeusz
2008
Reachability and controllability of non-negative 2-D Roesser type models. Zbl 0888.93009
Kaczorek, Tadeusz
1996
Minimum energy control of descriptor positive discrete-time linear systems. Zbl 1358.49030
Kaczorek, Tadeusz
2014
Realization problem for positive 2D hybrid systems. Zbl 1148.93318
Kaczorek, Tadeusz
2008
New reachability and observability tests for positive linear discrete-time systems. Zbl 1203.93034
Kaczorek, T.
2007
Positive singular discrete linear systems. Zbl 0931.93033
Kaczorek, Taduesz
1997
Singular fractional discrete-time linear systems. Zbl 1318.93058
Kaczorek, Tadeusz
2011
Minimal realization for positive multivariable linear systems with delay. Zbl 1076.93010
Kaczorek, Tadeusz; Busłowicz, Mikołaj
2004
Acceptable input sequences for singular $$2-D$$ linear systems. Zbl 0787.93042
Kaczorek, Tadeusz
1993
Singular fractional linear systems and electrical circuits. Zbl 1282.93135
Kaczorek, Tadeusz
2011
Realization problem for fractional continuous-time systems. Zbl 1187.93019
Kaczorek, Tadeusz
2008
Neural networks of positive systems. Zbl 1058.68566
Kaczorek, Tadeusz
2004
Pole assignment problem in two dimensional linear systems. Zbl 0499.93022
Kaczorek, Tadeusz
1983
Reduced-order fractional descriptor observers for a class of fractional descriptor continuous-time nonlinear systems. Zbl 1347.93062
Kaczorek, Tadeusz
2016
Responses comparison of the two discrete-time linear fractional state-space models. Zbl 1344.34016
Kaczorek, Tadeusz; Ostalczyk, Piotr
2016
Positive switched 2D linear systems described by the Roesser models. Zbl 1264.93076
Kaczorek, Tadeusz
2012
Reachability and controllability to zero of cone fractional linear systems. Zbl 1152.93393
Kaczorek, Tadeusz
2007
Realization problem for positive multivariable discrete-time linear systems with delays in the state vector and inputs. Zbl 1111.93051
Kaczorek, Tadeusz
2006
Positive minimal realizations for singular discrete-time systems with delays in state and delays in control. Zbl 1194.93128
Kaczorek, T.
2005
Robust stability of positive discrete-time interval systems with time-delays. Zbl 1140.93450
Busłowicz, M.; Kaczorek, T.
2004
Perfect observers for singular 2-D Fornasini-Marchesini models. Zbl 1009.93044
Kaczorek, Tadeusz
2001
Minimum energy control of fractional descriptor positive discrete-time linear systems. Zbl 1309.93093
Kaczorek, Tadeusz
2014
Design of regular positive and stable descriptor systems via state-feedbacks for descriptor continuous-time linear systems with singular pencils. Zbl 1307.93126
Kaczorek, Tadeusz
2014
Minimum energy control of fractional positive continuous-time linear systems with bounded inputs. Zbl 1293.49042
Kaczorek, Tadeusz
2014
Minimum energy control of positive discrete-time linear systems with bounded inputs. Zbl 1291.93183
Kaczorek, Tadeusz
2013
Minimum energy control of positive continuous-time linear systems with bounded inputs. Zbl 1285.49002
Kaczorek, Tadeusz
2013
Externally and internally positive time-varying linear systems. Zbl 0997.93045
Kaczorek, Tadeusz
2001
Computation of the Drazin inverse of a singular matrix making use of neural networks. Zbl 0777.65024
Cichocki, Andrzej; Kaczorek, Tadeusz; Stajniak, Andrzej
1992
Fractional descriptor continuous-time linear systems described by the Caputo-Fabrizio derivative. Zbl 1347.93147
Kaczorek, Tadeusz; Borawski, Kamil
2016
Minimum energy control of fractional positive electrical circuits with bounded inputs. Zbl 1345.93030
Kaczorek, Tadeusz
2016
Positivity and linearization of a class of nonlinear continuous-time systems by state feedbacks. Zbl 1347.93084
Kaczorek, Tadeusz
2015
Positive 2D fractional linear systems. Zbl 1173.93017
Kaczorek, Tadeusz
2009
Realization problem for singular positive continuous-time systems with delays. Zbl 1293.93378
Kaczorek, Tadeusz
2007
Realization problem for positive discrete-time systems with delays. Zbl 1087.93016
Kaczorek, Tadeusz
2004
General response formula for two-dimensional linear systems with variable coefficients. Zbl 0667.93049
Kaczorek, Tadeusz
1986
Polynomial equation approach to exact model matching problem in multivariable linear systems. Zbl 0504.93042
Kaczorek, Tadeusz
1982
Deadbeat control of single-input, single-output, linear, time-invariant systems. Zbl 0442.93022
Kaczorek, Tadeusz
1980
Positivity and stability of fractional descriptor time-varying discrete-time linear systems. Zbl 1336.93100
Kaczorek, Tadeusz
2016
Descriptor fractional linear systems with regular pencils. Zbl 1286.93086
Kaczorek, Tadeusz
2013
Checking of the positivity of descriptor linear systems with singular pencils. Zbl 1270.93057
Kaczorek, Tadeusz
2012
Computation of positive stable realizations for linear continuous-time systems. Zbl 1291.93142
Kaczorek, T.
2011
Positive stable realizations of fractional continuous-time linear systems. Zbl 1283.93072
Kaczorek, Tadeusz
2011
Minimal positive realizations for discrete-time systems with state time-delays. Zbl 1125.93409
Kaczorek, Tadeusz
2006
Generalization of Cayley-Hamilton theorem for $$n$$-D polynomial matrices. Zbl 1365.93231
Kaczorek, Tadeusz
2005
Some recent developments in positive 2D systems. Zbl 1060.93057
Kaczorek, Tadeusz
2003
Reachability and controllability of 2D positive linear systems with state feedbacks. Zbl 1012.93030
Kaczorek, Tadeusz
2000
Reachability and controllability of positive linear systems with state feedbacks. Zbl 0933.93016
Kaczorek, Tadeusz
1999
Stabilization of singular 2-D continuous-discrete systems by state-feedback controllers. Zbl 0871.93028
Kaczorek, Tadeusz
1996
Local controllability and minimum energy control of continuous 2-D linear systems with variable coefficients. Zbl 0817.93031
Kaczorek, Tadeusz
1995
Local controllability, reachability, and reconstructibility of the general singular model of 2-$$D$$ systems. Zbl 0770.93007
Kaczorek, Tadeusz
1992
Geometric methods in the theory of singular 2 D linear systems. Zbl 0746.93021
Conte, Giuseppe; Perdon, Anna M.; Kaczorek, Tadeusz
1991
Equivalence of singular 2-D linear models. Zbl 0716.93030
Kaczorek, Tadeusz
1989
A singular general model of 2-D systems and its solution. Zbl 0699.93061
Kaczorek, Tadeusz
1988
Singular multidimensional linear discrete systems. Zbl 0691.93032
Kaczorek, Tadeusz
1988
Minimum energy control for general model of 2-D linear systems. Zbl 0639.93010
Kaczorek, Tadeusz; Klamka, Jerzy
1988
Separability-assignment problem for q-dimensional linear discrete-time systems. Zbl 0585.93022
Kaczorek, T.; Kurek, J.
1984
Decentralized stabilization of fractional positive descriptor continuous-time linear systems. Zbl 1396.93106
Kaczorek, Tadeusz
2018
Positivity and stability of standard and fractional descriptor continuous-time linear and nonlinear systems. Zbl 1401.93176
Kaczorek, Tadeusz
2018
Reduced-order perfect nonlinear observers of fractional descriptor discrete-time nonlinear systems. Zbl 1367.93092
Kaczorek, Tadeusz
2017
Cauchy formula for the time-varying linear systems with Caputo derivative. Zbl 1367.34008
Kaczorek, Tadeusz; Idczak, Dariusz
2017
Analysis of the descriptor Roesser model with the use of the Drazin inverse. Zbl 1322.93067
Kaczorek, Tadeusz
2015
Approximation of fractional positive stable continuous-time linear systems by fractional positive stable discrete-time systems. Zbl 1279.93062
Kaczorek, Tadeusz
2013
Existence and determination of the set of Metzler matrices for given stable polynomials. Zbl 1283.93070
Kaczorek, Tadeusz
2012
Stability of continuous-discrete linear systems described by the general model. Zbl 1291.93267
Kaczorek, T.
2011
Positive stable realizations with system Metzler matrices. Zbl 1270.93030
Kaczorek, Tadeusz
2011
Positive fractional 2D continuous-discrete linear systems. Zbl 1255.93120
Kaczorek, Tadeusz
2011
Stability and stabilization of positive fractional linear systems by state-feedbacks. Zbl 1219.93099
Kaczorek, T.
2010
Positive continuous-time linear time-varying Lyapunov systems. Zbl 1176.93067
Kaczorek, Tadeusz; Przyborowski, Przemysław
2007
Realization problem for a class of positive continuous-time systems with delays. Zbl 1127.93021
Kaczorek, Tadeusz
2005
Extension of the Cayley-Hamilton theorem to continuous-time linear systems with delays. Zbl 1084.34541
Kaczorek, Tadeusz
2005
Locally positive nonlinear systems. Zbl 1051.93043
Kaczorek, Tadeusz
2003
Externally and internally positive singular discrete-time linear systems. Zbl 1140.93420
Kaczorek, Tadeusz
2002
Global stability of nonlinear feedback systems with positive linear parts. Zbl 07168305
Kaczorek, Tadeusz
2019
Absolute stability of a class of fractional positive nonlinear systems. Zbl 1416.93149
Kaczorek, Tadeusz
2019
Decentralized stabilization of fractional positive descriptor continuous-time linear systems. Zbl 1396.93106
Kaczorek, Tadeusz
2018
Positivity and stability of standard and fractional descriptor continuous-time linear and nonlinear systems. Zbl 1401.93176
Kaczorek, Tadeusz
2018
A new method for computation of positive realizations of fractional linear continuous-time systems. Zbl 1440.93049
Kaczorek, Tadeusz
2018
Stability of interval positive fractional discrete-time linear systems. Zbl 1398.93294
Kaczorek, Tadeusz
2018
Analysis of positive linear continuous-time systems using the conformable derivative. Zbl 1396.93061
Kaczorek, Tadeusz
2018
Reduced-order perfect nonlinear observers of fractional descriptor discrete-time nonlinear systems. Zbl 1367.93092
Kaczorek, Tadeusz
2017
Cauchy formula for the time-varying linear systems with Caputo derivative. Zbl 1367.34008
Kaczorek, Tadeusz; Idczak, Dariusz
2017
Positivity and stability of fractional discrete-time linear systems. The model without a time shift in the difference. Zbl 1378.93107
Kaczorek, Tadeusz; Ostalczyk, Piotr
2017
Reduced-order fractional descriptor observers for a class of fractional descriptor continuous-time nonlinear systems. Zbl 1347.93062
Kaczorek, Tadeusz
2016
Responses comparison of the two discrete-time linear fractional state-space models. Zbl 1344.34016
Kaczorek, Tadeusz; Ostalczyk, Piotr
2016
Fractional descriptor continuous-time linear systems described by the Caputo-Fabrizio derivative. Zbl 1347.93147
Kaczorek, Tadeusz; Borawski, Kamil
2016
Minimum energy control of fractional positive electrical circuits with bounded inputs. Zbl 1345.93030
Kaczorek, Tadeusz
2016
Positivity and stability of fractional descriptor time-varying discrete-time linear systems. Zbl 1336.93100
Kaczorek, Tadeusz
2016
Analysis of positive and stable fractional continuous-time linear systems by the use of Caputo-Fabrizio derivative. Zbl 1373.93156
Kaczorek, Tadeusz
2016
Analysis and comparison of the stability of discrete-time and continuous-time linear systems. Zbl 1446.93067
Kaczorek, Tadeusz
2016
Perfect nonlinear observers of fractional descriptor continuous-time nonlinear systems. Zbl 1339.93028
Kaczorek, Tadeusz
2016
Fractional linear systems and electrical circuits. Zbl 1354.93001
Kaczorek, Tadeusz; Rogowski, Krzysztof
2015
Positivity and linearization of a class of nonlinear continuous-time systems by state feedbacks. Zbl 1347.93084
Kaczorek, Tadeusz
2015
Analysis of the descriptor Roesser model with the use of the Drazin inverse. Zbl 1322.93067
Kaczorek, Tadeusz
2015
Stability of fractional positive nonlinear systems. Zbl 1446.93066
Kaczorek, Tadeusz
2015
Pointwise completeness and pointwise degeneracy of positive fractional descriptor continuous-time linear systems with regular pencils. Zbl 1321.93042
Kaczorek, Tadeusz
2015
The realization problem for positive and fractional systems. Zbl 1297.93002
Kaczorek, Tadeusz; Sajewski, Łukasz
2014
Minimum energy control of descriptor positive discrete-time linear systems. Zbl 1358.49030
Kaczorek, Tadeusz
2014
Minimum energy control of fractional descriptor positive discrete-time linear systems. Zbl 1309.93093
Kaczorek, Tadeusz
2014
Design of regular positive and stable descriptor systems via state-feedbacks for descriptor continuous-time linear systems with singular pencils. Zbl 1307.93126
Kaczorek, Tadeusz
2014
Minimum energy control of fractional positive continuous-time linear systems with bounded inputs. Zbl 1293.49042
Kaczorek, Tadeusz
2014
Fractional descriptor observers for fractional descriptor continuous-time linear system. Zbl 1301.93031
Kaczorek, Tadeusz
2014
Positivity and asymptotic stability of descriptor linear systems with regular pencils. Zbl 1327.93325
Kaczorek, Tadeusz
2014
Decoupling zeros of positive continuous-time linear systems and electrical circuit. Zbl 1327.93067
Kaczorek, Tadeusz
2014
Application of the Drazin inverse to the analysis of descriptor fractional discrete-time linear systems with regular pencils. Zbl 1293.93496
Kaczorek, Tadeusz
2013
Minimum energy control of positive discrete-time linear systems with bounded inputs. Zbl 1291.93183
Kaczorek, Tadeusz
2013
Minimum energy control of positive continuous-time linear systems with bounded inputs. Zbl 1285.49002
Kaczorek, Tadeusz
2013
Descriptor fractional linear systems with regular pencils. Zbl 1286.93086
Kaczorek, Tadeusz
2013
Approximation of fractional positive stable continuous-time linear systems by fractional positive stable discrete-time systems. Zbl 1279.93062
Kaczorek, Tadeusz
2013
Stability of the convex linear combination of positive linear systems. Zbl 1280.93073
Kaczorek, Tadeusz
2013
Descriptor fractional linear systems with regular pencils. Zbl 1282.93136
Kaczorek, Tadeusz
2013
Positive switched 2D linear systems described by the Roesser models. Zbl 1264.93076
Kaczorek, Tadeusz
2012
Checking of the positivity of descriptor linear systems with singular pencils. Zbl 1270.93057
Kaczorek, Tadeusz
2012
Existence and determination of the set of Metzler matrices for given stable polynomials. Zbl 1283.93070
Kaczorek, Tadeusz
2012
Positive stable realizations for fractional descriptor continuous-time linear systems. Zbl 1270.93032
Kaczorek, Tadeusz
2012
Determination of positive realizations with reduced numbers of delays or without delays for discrete-time linear systems. Zbl 1270.93033
Kaczorek, Tadeusz
2012
Computation of initial conditions and inputs for given outputs of fractional and positive discrete-time linear systems. Zbl 1270.93031
Kaczorek, Tadeusz
2012
Selected problems of fractional systems theory. Zbl 1221.93002
Kaczorek, Tadeusz
2011
Checking of the positivity of descriptor linear systems by the use of the shuffle algorithm. Zbl 1264.93096
Kaczorek, Tadeusz
2011
Singular fractional discrete-time linear systems. Zbl 1318.93058
Kaczorek, Tadeusz
2011
Singular fractional linear systems and electrical circuits. Zbl 1282.93135
Kaczorek, Tadeusz
2011
Computation of positive stable realizations for linear continuous-time systems. Zbl 1291.93142
Kaczorek, T.
2011
Positive stable realizations of fractional continuous-time linear systems. Zbl 1283.93072
Kaczorek, Tadeusz
2011
Stability of continuous-discrete linear systems described by the general model. Zbl 1291.93267
Kaczorek, T.
2011
Positive stable realizations with system Metzler matrices. Zbl 1270.93030
Kaczorek, Tadeusz
2011
Positive fractional 2D continuous-discrete linear systems. Zbl 1255.93120
Kaczorek, Tadeusz
2011
Pointwise completeness and pointwise degeneracy of 2D standard and positive Fornasini-Marchesini models. Zbl 1225.93062
Kaczorek, Tadeusz
2011
Positive linear systems with different fractional orders. Zbl 1220.78074
Kaczorek, T.
2010
Practical stability of positive fractional 2D linear systems. Zbl 1202.93045
Kaczorek, Tadeusz
2010
Stability and stabilization of positive fractional linear systems by state-feedbacks. Zbl 1219.93099
Kaczorek, T.
2010
Positivity and stabilization of fractional 2D linear systems described by the Roesser model. Zbl 1300.93136
Kaczorek, Tadeusz; Rogowski, Krzysztof
2010
Decomposition of the pairs $$(A,B)$$ and $$(A,C)$$ of positive discrete-time linear systems. Zbl 1215.93022
Kaczorek, Tadeusz
2010
Reachability of linear hybrid systems described by the general model. Zbl 1216.93016
Kaczorek, Tadeusz; Rogowski, Krzysztof
2010
Pointwise completeness and pointwise degeneracy of standard and positive hybrid linear systems described by the general model. Zbl 1216.93061
Kaczorek, Tadeusz
2010
Simple conditions for practical stability of positive fractional discrete-time linear systems. Zbl 1167.93019
Busłowicz, Mikołaj; Kaczorek, Tadeusz
2009
LMI approach to stability of 2D positive systems. Zbl 1169.93022
Kaczorek, Tadeusz
2009
Fractional positive linear systems. Zbl 1325.93033
Kaczorek, Tadeusz
2009
Reachability of cone fractional continuous-time linear systems. Zbl 1169.93004
Kaczorek, Tadeusz
2009
Independence of asymptotic stability of positive 2D linear systems with delays of their delays. Zbl 1167.93023
Kaczorek, Tadeusz
2009
Positive 2D fractional linear systems. Zbl 1173.93017
Kaczorek, Tadeusz
2009
Reachability, controllability to zero and observability of the positive discrete-time Lyapunov systems. Zbl 1301.93025
Kaczorek, Tadeusz; Przyborowski, Przemysław
2009
Pointwise completeness and pointwise degeneracy of standard and positive fractional linear systems with state-feedbacks. Zbl 1298.93179
Kaczorek, Tadeusz
2009
Positivity and stabilization of 2D linear systems. Zbl 1206.93085
Kaczorek, Tadeusz
2009
Positive 2D discrete-time linear Lyapunov systems. Zbl 1169.93364
Przyborowski, Przemsław; Kaczorek, Tadeusz
2009
Positivity and stabilization of fractional 2D roesser model by state-feedbacks, LMI approach. Zbl 1298.93272
Kaczorek, Tadeusz
2009
Fractional positive continuous-time linear systems and their reachability. Zbl 1235.34019
Kaczorek, Tadeusz
2008
Realization problem for positive fractional hybrid 2D linear systems. Zbl 1154.93017
Kaczorek, Tadeusz
2008
Realization problem for positive 2D hybrid systems. Zbl 1148.93318
Kaczorek, Tadeusz
2008
Realization problem for fractional continuous-time systems. Zbl 1187.93019
Kaczorek, Tadeusz
2008
The choice of the forms of Lyapunov functions for a positive 2D Roesser model. Zbl 1234.93089
Kaczorek, Tadeusz
2007
Polynomial and rational matrices. Applications in dynamical systems theory. Zbl 1114.15019
Kaczorek, Tadeusz
2007
New reachability and observability tests for positive linear discrete-time systems. Zbl 1203.93034
Kaczorek, T.
2007
Reachability and controllability to zero of cone fractional linear systems. Zbl 1152.93393
Kaczorek, Tadeusz
2007
Realization problem for singular positive continuous-time systems with delays. Zbl 1293.93378
Kaczorek, Tadeusz
2007
Positive continuous-time linear time-varying Lyapunov systems. Zbl 1176.93067
Kaczorek, Tadeusz; Przyborowski, Przemysław
2007
Positive partial realization problem for linear discrete-time systems. Zbl 1119.93370
Kaczorek, Tadeusz
2007
Computation of positive realization of MIMO hybrid linear systems using the state variable diagram method. Zbl 1152.93326
Kaczorek, Tadeusz; Sajewski, Łukasz
2007
A realization problem for positive continuous-time systems with reduced numbers of delays. Zbl 1136.93317
Kaczorek, Tadeusz
2006
Computation of realizations of discrete-time cone-systems. Zbl 1194.93129
Kaczorek, T.
2006
Realization problem for positive multivariable discrete-time linear systems with delays in the state vector and inputs. Zbl 1111.93051
Kaczorek, Tadeusz
2006
Minimal positive realizations for discrete-time systems with state time-delays. Zbl 1125.93409
Kaczorek, Tadeusz
2006
Output-reachability of positive linear discrete-time systems with delays. Zbl 1147.93310
Kaczorek, Tadeusz
2006
An extension of the Cayley-Hamilton theorem for nonlinear time-varying systems. Zbl 1334.93084
Kaczorek, Tadeusz
2006
Realization problem for positive linear systems with time delay. Zbl 1200.93062
Kaczorek, Tadeusz
2005
Reachability and minimum energy control of positive 2D systems with delays. Zbl 1167.93359
Kaczorek, Tadeusz
2005
Positive minimal realizations for singular discrete-time systems with delays in state and delays in control. Zbl 1194.93128
Kaczorek, T.
2005
Generalization of Cayley-Hamilton theorem for $$n$$-D polynomial matrices. Zbl 1365.93231
Kaczorek, Tadeusz
2005
Realization problem for a class of positive continuous-time systems with delays. Zbl 1127.93021
Kaczorek, Tadeusz
2005
Extension of the Cayley-Hamilton theorem to continuous-time linear systems with delays. Zbl 1084.34541
Kaczorek, Tadeusz
2005
Infinite eigenvalue assignment by an output feedback for singular systems. Zbl 1171.93331
Kaczorek, Tadeusz
2004
Minimal realization for positive multivariable linear systems with delay. Zbl 1076.93010
Kaczorek, Tadeusz; Busłowicz, Mikołaj
2004
Neural networks of positive systems. Zbl 1058.68566
Kaczorek, Tadeusz
2004
Robust stability of positive discrete-time interval systems with time-delays. Zbl 1140.93450
Busłowicz, M.; Kaczorek, T.
2004
...and 94 more Documents
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#### Cited by 925 Authors

 84 Kaczorek, Tadeusz 30 Xiang, Zhengrong 19 Lam, James 18 de la Sen, Manuel 16 Mozyrska, Dorota 14 Karimi, Hamid Reza 13 Liang, Jinling 13 Wang, Weiqun 13 Zou, Yun 12 Benzaouia, Abdellah 12 Gałkowski, Krzysztof 11 Duan, Zhaoxia 11 Hmamed, Abdelaziz 11 Shen, Jun 11 Xu, Huiling 10 Xu, Li 10 Xu, Shengyuan 9 Pawłuszewicz, Ewa 9 Qi, Wenhai 9 Wyrwas, Małgorzata 8 Balachandran, Krishnan 8 Ghous, Imran 8 Li, Shuo 8 Lin, Zhiping 8 Oprzȩdkiewicz, Krzysztof 8 Rogers, Eric 8 Tadeo, Fernando 8 Trinh, Hieu Minh 8 Zhang, Junfeng 8 Zhao, Xudong 7 Chen, Xiaoming 7 Coll, Carmen 7 Le Van Hien 7 Ostalczyk, Piotr 7 Ruszewski, Andrzej 7 Sánchez, Elena 7 Xie, Lihua 6 Bartosiewicz, Zbigniew 6 Busłowicz, Mikołaj 6 Govindaraj, Venkatesan 6 Kar, Haranath 6 Karampetakis, Nicholas P. 6 Longhi, Sauro 6 Stanisławski, Rafał 6 Sun, Yuangong 6 Thome, Néstor 6 Wang, Jinling 6 Wang, Youqing 6 Wang, Zidong 5 Bachelier, Olivier 5 Dhawan, Amit 5 El Hajjaji, Ahmed 5 Gao, Xianwen 5 Girejko, Ewa 5 Herrero, Alicia 5 Huang, Shipei 5 Idczak, Dariusz 5 Latawiec, Krzysztof J. 5 Liu, Xiaohui 5 Majewski, Marek 5 Malinowska, Agnieszka Barbara 5 Mitkowski, Wojciech 5 Odzijewicz, Tatiana 5 Owens, David Howard 5 Sajewski, Łukasz 5 Shi, Peng 5 Stanimirović, Predrag S. 5 Trujillo, Juan J. 5 Van Dooren, Paul M. 5 Wu, Ligang 5 Zhao, Dong 4 Ahn, Choon Ki 4 Ait Rami, Mustapha 4 Benhayoun, Mohamed 4 Bouagada, Djillali 4 Boudellioua, Mohamed Salah 4 Bru, Rafael 4 Cantoni, Michael 4 Cheng, Jun 4 Ding, Steven X. 4 Filasová, Anna 4 Gomoyunov, Mikhail Igorevich 4 Kamocki, Rafal 4 Klamka, Jerzy 4 Krokavec, Dusan 4 Machado, José António Tenreiro 4 Mastorakis, Nikos E. 4 Mehdi, Driss 4 Ntogramatzidis, Lorenzo 4 Prokip, Volodymyr M. 4 Rogowski, Krzysztof 4 Shen, Jian 4 Sikora, Beata 4 Xiang, Mei 4 Yang, Rongni 4 Yeganefar, Nima 4 Zhang, Ridong 4 Zheng, Wei Xing 3 Ahmadova, Arzu 3 Alfidi, Mohammed ...and 825 more Authors
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#### Cited in 116 Serials

 66 Multidimensional Systems and Signal Processing 64 International Journal of Applied Mathematics and Computer Science 53 Automatica 50 Journal of the Franklin Institute 34 International Journal of Control 32 Applied Mathematics and Computation 30 Systems & Control Letters 29 Circuits, Systems, and Signal Processing 20 Mathematical Problems in Engineering 19 Archives of Control Sciences 18 Linear Algebra and its Applications 17 Fractional Calculus & Applied Analysis 17 Nonlinear Analysis. Hybrid Systems 17 Asian Journal of Control 17 International Journal of Systems Science. Principles and Applications of Systems and Integration 14 Kybernetika 13 International Journal of Systems Science 10 Advances in Difference Equations 9 Bulletin of the Polish Academy of Sciences. Technical Sciences 9 Information Sciences 9 European Journal of Control 9 Abstract and Applied Analysis 9 Discrete Dynamics in Nature and Society 7 Applied Mathematics Letters 7 Nonlinear Dynamics 7 Communications in Nonlinear Science and Numerical Simulation 6 Journal of Computational and Applied Mathematics 6 Journal of Optimization Theory and Applications 6 International Journal of Robust and Nonlinear Control 6 Complexity 5 Mathematics and Computers in Simulation 5 COMPEL 5 Applied Mathematical Modelling 4 Journal of Mathematical Analysis and Applications 4 Fuzzy Sets and Systems 4 Optimal Control Applications & Methods 4 Signal Processing 3 International Journal of General Systems 3 Mathematical Methods in the Applied Sciences 3 Kybernetes 3 Mathematical and Computer Modelling 3 ELA. The Electronic Journal of Linear Algebra 3 International Journal of Nonlinear Sciences and Numerical Simulation 3 Differential Equations 3 Journal of Applied Mathematics and Computing 3 Journal of Control Science and Engineering 2 Computers & Mathematics with Applications 2 Optimization 2 Neural Computation 2 Differential Equations and Dynamical Systems 2 Mathematical Finance 2 Journal of Inequalities and Applications 2 Journal of Dynamical and Control Systems 2 Lobachevskii Journal of Mathematics 2 Nonlinear Analysis. Real World Applications 2 Journal of Systems Science and Complexity 2 Journal of Control Theory and Applications 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Mathematical Control and Related Fields 1 Rocky Mountain Journal of Mathematics 1 Ukrainian Mathematical Journal 1 Chaos, Solitons and Fractals 1 Demonstratio Mathematica 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerische Mathematik 1 Proceedings of the American Mathematical Society 1 Results in Mathematics 1 SIAM Journal on Control and Optimization 1 MCSS. Mathematics of Control, Signals, and Systems 1 International Journal of Adaptive Control and Signal Processing 1 Aequationes Mathematicae 1 Automation and Remote Control 1 Journal of Mathematical Sciences (New York) 1 Electronic Journal of Differential Equations (EJDE) 1 Numerical Linear Algebra with Applications 1 Computational and Applied Mathematics 1 Journal of the Egyptian Mathematical Society 1 Opuscula Mathematica 1 Integral Transforms and Special Functions 1 Journal of Difference Equations and Applications 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Matematychni Metody ta Fizyko-Mekhanichni Polya 1 Doklady Mathematics 1 Vietnam Journal of Mathematics 1 Optimization Methods & Software 1 Positivity 1 Mathematical Methods of Operations Research 1 The ANZIAM Journal 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 1 Discrete and Continuous Dynamical Systems. Series B 1 Decisions in Economics and Finance 1 Entropy 1 Algebra and Discrete Mathematics 1 International Journal of Computational Methods 1 International Journal of Geometric Methods in Modern Physics 1 International Journal of Computational Intelligence and Applications ...and 16 more Serials
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#### Cited in 39 Fields

 626 Systems theory; control (93-XX) 126 Ordinary differential equations (34-XX) 82 Real functions (26-XX) 77 Linear and multilinear algebra; matrix theory (15-XX) 40 Calculus of variations and optimal control; optimization (49-XX) 40 Numerical analysis (65-XX) 39 Difference and functional equations (39-XX) 39 Operations research, mathematical programming (90-XX) 31 Partial differential equations (35-XX) 30 Information and communication theory, circuits (94-XX) 22 Probability theory and stochastic processes (60-XX) 18 Biology and other natural sciences (92-XX) 14 Operator theory (47-XX) 13 Computer science (68-XX) 11 Dynamical systems and ergodic theory (37-XX) 9 Special functions (33-XX) 6 Mechanics of particles and systems (70-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Approximations and expansions (41-XX) 5 Integral transforms, operational calculus (44-XX) 5 Integral equations (45-XX) 4 Combinatorics (05-XX) 3 Field theory and polynomials (12-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 History and biography (01-XX) 2 Mathematical logic and foundations (03-XX) 2 Commutative algebra (13-XX) 2 Optics, electromagnetic theory (78-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Nonassociative rings and algebras (17-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX)