Papers Submitted to WSEAS Conferences and WSEAS Journals: Wseas Transactions

Wednesday, 3 December 2008

Wseas Transactions

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The following information was submitted:

Transactions: WSEAS TRANSACTIONS ON SYSTEMS AND CONTROL
Transactions ID Number: 28-664
Full Name: Valeriu Prepelita
Position: Professor
Age: ON
Sex: Male
Address: Universitatea Politehnica Bucuresti, Splaiul Independentei 313, RO 060042, Sector 6, Bucuresti
Country: ROMANIA
Tel: 0213115710
Tel prefix: 4
Fax:
E-mail address: valeriuprepelita@yahoo.com
Other E-mails: vprepelita@mathem.pub.ro
Title of the Paper: A study of the observability of multidimensional hybrid linear systems
Authors as they appear in the Paper: Valeriu Prepelita
Email addresses of all the authors: valeriuprepelita@yahoo.com,vprepelita@mathem.pub.ro
Number of paper pages: 11
Abstract: A class of multidimensional hybrid linear systems is presented, with the time vector composed by $q$ continuous-time real components and by $r$ discrete-time integer ones, $q,r\geq1$. The state equation is of multidimensional partial differential-difference type. A generalized variation-of-parameters formula is provided and it is used to obtain the state and the general response of the system. \\ The fundamental concept of observability is studied for these systems. An observability Gramian is introduced, which is a generalization of the Gramians corresponding to the classical 1D continuous-time and 1D discrete-time systems. \\ In the case of completely observable systems this Gramian is used to obtain a formula which provides the initial state of the system for any input-output pair. A list of observability criteria is given for time-invariant systems and the duality between the concepts of observability and reachability is emphasized.
Keywords: Multidimensional hybrid systems, Observability, Observability Gramian, Time-varying systems, Time-invariant systems.
EXTENSION of the file: .pdf
Special (Invited) Session: Observability of a model of (q,r)-D Continuous-discrete systems
Organizer of the Session:
How Did you learn about congress: Constantin Udriste,udriste@mathem.pub.ro; Vasile Iftode,vasile_iftode@yahoo.com
IP ADDRESS: 86.121.132.155

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