Polynomial and Rational Matrices : Applications in Dynamical Systems Theory /
By: Kaczorek, Tadeusz [author.].
Contributor(s): SpringerLink (Online service).
Material type:
BookSeries: Communications and Control Engineering: Publisher: London : Springer London, 2007.Description: XVI, 503 p. 10 illus. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9781846286056.Subject(s): Engineering | System theory | Applied mathematics | Engineering mathematics | Vibration | Dynamical systems | Dynamics | Control engineering | Robotics | Mechatronics | Electronic circuits | Engineering | Control, Robotics, Mechatronics | Engineering, general | Appl.Mathematics/Computational Methods of Engineering | Systems Theory, Control | Vibration, Dynamical Systems, Control | Circuits and SystemsDDC classification: 629.8 Online resources: Click here to access online | Item type | Current location | Call number | Status | Date due | Barcode | Item holds |
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E books
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PK Kelkar Library, IIT Kanpur | Available | EBK9946 |
Polynomial 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.
Matrices 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.
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