03007nmm a2200469 u 4500001001200000003002700012005001700039007002400056008004100080020001800121100002200139245012500161250001700286260004000303300004200343505034200385653002300727653001600750653003400766653002800800653001900828653002800847653004800875653002400923653001800947653001400965653002400979653001301003653003401016653003601050653002201086653003101108653001501139653006001154041001901214989003601233490004301269028003001312856007201342082001001414520111301424EB000367218EBX0100000000000000022027000000000000000.0cr|||||||||||||||||||||130626 ||| eng a97818462860561 aKaczorek, Tadeusz00aPolynomial and Rational MatriceshElektronische RessourcebApplications in Dynamical Systems Theorycby Tadeusz Kaczorek a1st ed. 2007 aLondonbSpringer Londonc2007, 2007 aXVI, 503 p. 10 illusbonline resource0 aPolynomial Matrices -- Rational Functions and Matrices -- Normal Matrices and Systems -- The Problem of Realization -- Singular and Cyclic Normal Systems -- Matrix Polynomial Equations, and Rational and Algebraic Matrix Equations -- The Realisation Problem and Perfect Observers of Singular Systems -- Positive Linear Systems with Delays aMechanics, Applied aEngineering aControl, Robotics, Automation aEngineering mathematics aControl theory aSystems Theory, Control aMultibody Systems and Mechanical Vibrations aElectronic circuits aSystem theory aVibration aControl engineering aRobotics aEngineering / Data processing aElectronic Circuits and Systems aMultibody systems aTechnology and Engineering aAutomation aMathematical and Computational Engineering Applications07aeng2ISO 639-2 bSpringeraSpringer eBooks 2005-0 aCommunications and Control Engineering50a10.1007/978-1-84628-605-640uhttps://doi.org/10.1007/978-1-84628-605-6?nosfx=yxVerlag3Volltext0 a629.8 aMatrices are effective tools for the modelling and analysis of dynamical systems. Professor Kaczorek gives an overview of new results in the application of polynomial and rational matrices to continuous- and discrete-time systems. The book is self-contained, beginning with important basics such as the Cayley–Hamilton theorem and definitions and elementary operations of polynomial and rational matrices and moving on to cover such topics as: • normal matrices (including their realisation); • rational and algebraic polynomial matrix equations; • perfect observers for and realisation of linear systems; and • new results on positive linear discrete- and continuous-time systems with delays. The text is rounded off with an appendix describing fundamental definitions and theorems relevant to controllability and observability in linear systems. Polynomial and Rational Matrices will be valuable to researchers in control and/or system theory and will provide useful reference material for graduates studying courses in electronic and computer engineering, mechatronics and electrical engineering