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Archives of Electrical Engineering
2013 Vol. 62, nr 2 345--355
EN The positive asymptotically stable continuous-time linear systems are approximated by corresponding asymptotically stable discrete-time linear systems. Two methods of the approximation are presented and the comparison of the methods is addressed. The considerations are illustrated by three numerical[...]
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Bulletin of the Polish Academy of Sciences. Technical Sciences
EN The asymptotic stability of positive continuous-time linear systems with delays is addressed. It is shown that: 1) the asymptotic stability of the positive systems with delays is independent of their delays, 2) the checking of the asymptotic stability of the positive systems with delays can be reduc[...]
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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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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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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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Archives of Electrical Engineering
EN The minimum energy control problem for the positive continuous-time linear systems with bounded inputs is formulated and solved. Sufficient conditions for the existence of solution to the problem are established. A procedure for solving of the problem is proposed and illustrated by a numerical examp[...]
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Bulletin of the Polish Academy of Sciences. Technical Sciences
EN A method for checking the positivity and finding the solution to the positive fractional descriptor continuous-time linear systems with singular pencils is proposed. The method is based on elementary row and column operations of the fractional descriptor systems to equivalent standard systems with s[...]
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Bulletin of the Polish Academy of Sciences. Technical Sciences
2013 Vol. 61, nr 3 557--562
EN Necessary and sufficient conditions for the reachability and observability of the positive continuous-time linear systems are established. Definitions of the input-decoupling zeros, output-decoupling zeros and input-output decoupling zeros are proposed. Some properties of the decoupling zeros are di[...]
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Journal of Automation Mobile Robotics and Intelligent Systems
EN A new class of fractional linear continuous-time linear systems described by the state equation is introduced. The solution to the state equations is derived using the Laplace transform. Necessary and sufficient conditions are established for the internal and external positivity of the fractional sy[...]
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Control and Cybernetics
EN 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 [...]
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Control and Cybernetics
EN The positive realization problem for a class of singular continuous-time linear SISO systems with delays in state and in output is addressed. The notions of canonical forms of matrices and of dual systems are extended for singular linear systems with delays. Necessary and sufficient conditions for p[...]
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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 asymptot[...]
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Archives of Electrical Engineering
2013 Vol. 62, nr 4 553--568
EN Necessary and sufficient conditions for the reachability and observability of the positive electrical circuits composed of resistors, coils, condensators and voltage sources are established. Definitions of the input-decoupling zeros, output-decoupling zeros and input-output decoupling zeros of the p[...]
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Bulletin of the Polish Academy of Sciences. Technical Sciences
EN New frequency domain methods for stability analysis of linear continuous-time fractional order systems with delays of the retarded type are given. The methods are obtained by generalisation to the class of fractional order systems with delays of the Mikhailov stability criterion and the modified Mik[...]
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Archives of Control Sciences
EN Necessary and sufficient conditions for the positivity of descriptor continuous-time and discrete-time linear systems are established. The shuffle algorithm is applied to transform the state equations of the descriptor systems to their equivalent form for which necessary and sufficient conditions fo[...]
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Archives of Control Sciences
EN A method for computation of positive asymptotically stable realizations of fractional descriptor continuous-time linear systems with regular pencil is proposed. The method is based on the decomposition of the improper transfer matrix into strictly proper matrix and a polynomial matrix. A procedure f[...]
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Archives of Control Sciences
2015 Vol. 25, no. 2 177--187
EN The paper considers the robust stability problem of uncertain continuous-time fractional order linear systems with pure delay in the following two cases: a) the state matrix is a linear convex combination of two known constant matrices, b) the state matrix is an interval matrix. It is shown that the[...]
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Bulletin of the Polish Academy of Sciences. Technical Sciences
2014 Vol. 62, nr 3 409--412
EN The Drazin inverse of matrices is applied to find the solutions of the state equations of the fractional descriptor continuous-time systems with regular pencils. An equality defining the set of admissible initial conditions for given inputs is derived. The proposed method is illustrated by a numeric[...]
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International Journal of Electronics and Telecommunications
EN A high performance, ultra-low power, fully differentia 2nd-order continuous-time Σ∆ analogue-to-digital modulator for cardiac pacemakers is presented in this paper. The entire design procedure is described in detail from the high-level system synthesis in both discrete and continuous-time domain, to[...]
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