The following information was submitted:
Transactions: WSEAS TRANSACTIONS ON SYSTEMS AND CONTROL
Transactions ID Number: 28-157
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: 0214115710
Tel prefix: 04
Fax:
E-mail address: valeriuprepelita@yahoo.com
Other E-mails: vprepelita@mathem.pub.ro
Title of the Paper: Structural properties of linear generalized systems
Authors as they appear in the Paper: Valeriu Prepelita
Email addresses of all the authors: valeriuprepelita@yahoo.com
Number of paper pages: 11
Abstract: Generalized linear systems are considered, which contain in their state-space representation matrices with elements functions of bounded variation and controls in the space of regulated functions. The Perron-Stieltjes integral is used to obtain a variation-of-parameters formula. On this basis the formula of the state of the system as well as the input-output map are derived. The fundamental concepts of controllability and reachability are analysed in this approach by means of two controllability and reachability Gramians. An optimal control is provided which solves the problem of the minimum energy transfer. The observability of these generalized systems is studied. In the case of completely observable systems a formula is obtained which recovers the initial state from the exterior data. The duality between the concepts of controllability and observability is emphasized as well as Kalman's canonical form.
Keywords: Functions of bounded variation,Regulated functions,Linear systems,Controllability,Observability,Minimum energy
EXTENSION of the file: .pdf
Special (Invited) Session: Controllability and observability of linear control systems over spaces of regulated functions
Organizer of the Session: 591-510
How Did you learn about congress: udriste@mathem.pub.ro,vasile_iftode@yahoo.com,omartin_ro@yahoo.com
IP ADDRESS: 86.121.128.174
