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International Journal of Applied Mathematics and Computer Science
EN We survey the so-called behavioral approach to systems and control theory, which was founded by J. C. Willems and his school. The central idea of behavioral systems theory is to put the focus on the set of trajectories of a dynamical system rather than on a specific set of equations modelling the un[...]
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Modelowanie Inżynierskie
2008 T. 5, nr 36 207-212
PL W artykule rozpatrywano przejście przez strefę rezonansu układu liniowego o jednym stopniu swobody przy wzrastającej częstości wymuszenia (rozpędzanie układu) oraz przy malejącej częstości wymuszenia podczas hamowania układu. Na podstawie przeprowadzonych symulacji numerycznych wyznaczono bezwymiaro[...]
EN Present paper shows transient through resonance zone of linear system with one degree of freedom by increasing exciting frequency (system acceleration) and by decreasing exciting frequency during system braking. On the basis of numeric simulations the dynamic system by the resonance transition is pr[...]
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Molecular and Quantum Acoustics
2002 Vol. 23 413-418
EN This article presents the physical base of the numerical system for analyse and modelling acoustic fields by an acoustic head of arbitary construction generated. The system allows to analyse the sending-receiving multielement ultrasound heads. Nowadays the system is being axpanded to analyse the pro[...]
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Systems Science
EN In this paper, the problem of robust stability analysis and robust stabilization with memoryless state feedback control for linear systems with time-varying delayed state and norm-bounded time-varying uncertainties are investigated. The proposed method employs Leibnitz-Newton type model transformati[...]
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Bulletin of the Polish Academy of Sciences. Technical Sciences
EN A novel approach to design of minimal order functional observers for singular linear systems is proposed. A procedure for computation of matrices of the minimal order functional observers is presented and illustrated by numerical example.
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Bulletin of the Polish Academy of Sciences. Technical Sciences
EN New concept of perfect full-order and reduced-order observers for linear standard continuous-time systems are presented. Necessary and sufficient conditions for the existence of the perfect observers are established. Procedures for designing of the perfect observers are derived and illustrated by nu[...]
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Bulletin of the Polish Academy of Sciences. Technical Sciences
EN A new concept of the full-order perfect observer for continuous-time linear systems is presented. Conditions for the existence of the perfect observer are established and its design procedure is derived.
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Systems Science
EN The realization problem for positive, discrete-time linear single-input, single-output systems with many delays is formulated and solved. Sufficient conditions for the existence of positive realizations of a given proper rational function are established. A procedure for computation of minimal posit[...]
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Applied Mathematics and Computer Science
1998 Vol. 8, no 2 253-268
EN In this paper, we deveIop a \mi-analysis for nonnegative matrices and apply the results to analyse robust stability of positive linear continuous-time systems under arbitrary affine parameter perturbations. It is shown that real and complex stability radii of positive systems coincide for arbitrary [...]
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Applied Mathematics and Computer Science
1998 Vol. 8, no 3 517-528
EN The inverse optimal control problem, i.e. the problem of the optimal eigenvalue assignment for multi-input linear discrete-time systems, is considered. New necessary and sufficient conditions are proposed which lead to new simple optimal design methods. In particular, for an n-th order system with m[...]
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Computer Applications in Electrical Engineering
2012 Vol. 10 1--28
EN Conditions for the positivity of linear electrical circuits composed of resistors, coils, condensators and voltage (current) sources are established. It is shown that: 1) the electrical circuit composed of resistors, coils and voltage source is positive for almost all values of their resistances, in[...]
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TTS Technika Transportu Szynowego
2015 R. 22, nr 12 750--755, CD
PL Pracy zaproponowano nową metodę wyznaczanie minimalno-fazowych realizacji dla dodatnich ciągłych i dyskretnych układów liniowych. Podano warunki konieczne i wystarczające na istnienie minimalno-fazowych realizacji dla tych klas układów liniowych. Podano procedurę wyznaczania tych realizacji minimaln[...]
EN The problem of minimal-phase realization for continuous-time and discrete-time linear systems is addressed. Necessary and sufficient conditions for the existence of minimal-phase realizations for the linear systems are established. A procedure for computation of the realizations is proposed and illu[...]
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Bulletin of the Polish Academy of Sciences. Technical Sciences
EN The stability problem of continuous-time linear systems described by the state equation consisting of n subsystems with different fractional orders of derivatives of the state variables has been considered. The methods for asymptotic stability checking have been given. The method proposed in the gen[...]
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Control and Cybernetics
EN 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.
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Bulletin of the Polish Academy of Sciences. Technical Sciences
EN In the paper the problems of practical stability and asymptotic stability of fractional discrete-time linear systems with a diagonal state matrix are addressed. Standard and positive systems are considered. Simple necessary and sufficient analytic conditions for practical stability and for asymptoti[...]
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Bulletin of the Polish Academy of Sciences. Technical Sciences
EN Conditions for the existence of positive and asymptotically stable realizations for descriptor discrete-time linear systems are established. Procedures for computation of positive and asymptotically stable realizations for improper transfer matrices are proposed. The effectiveness of the methods is [...]
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Journal of Automation Mobile Robotics and Intelligent Systems
EN A dynamical system described by homogeneous equation is called pointwise complete if every final state can be reached by suitable choice of the initial state. The system which is not pointwise complete is called pointwise degenerated. Definitions and necessary and sufficient conditions for the point[...]
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Journal of Automation Mobile Robotics and Intelligent Systems
EN The paper considers the stability problem of linear time-invariant continuous-time systems of fractional commensurate order. It is shown that the system is stable if and only if plot of rational function of fractional order, called as the generalised modified Mikhailov plot, and does not encircle th[...]
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Journal of Automation Mobile Robotics and Intelligent Systems
EN The problem of asymptotic stability of models of 2D continuous-discrete linear systems is considered. Computer methods for investigation of asymptotic stability of the Fornasini-Marchesini type and the Roesser type models, are given. The methods proposed require computation of the eigenvalue-loci of[...]
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Journal of Automation Mobile Robotics and Intelligent Systems
EN In the paper the positive fractional discrete-time linear systems with delay described by the state equations are considered. The solution to the state equations is derived using the Z transform. Necessary and sufficient conditions are established for the positivity, reachability and controllability[...]
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