Infinite dimensional systems, sliding motions

European Journal of Control

Volumn 8, Issue 6, 2002, Pages 508-516

  Levaggi, Laura ^a  

^a UNIVERSITY OF GENOA   (Italy)

Author keywords

Distributed systems; Infinite dimensional systems; Variable structure control

Indexed keywords

CONTROL SYSTEM ANALYSIS; DIFFERENTIAL EQUATIONS; FEEDBACK CONTROL;

DISTRIBUTED SYSTEMS; HEAT EQUATIONS; INFINITE DIMENSIONAL SYSTEMS; VARIABLE STRUCTURE CONTROL;

SLIDING MODE CONTROL;

EID: 1542326553     PISSN: 09473580     EISSN: None     Source Type: Journal    
DOI: 10.3166/ejc.8.508-516     Document Type: Article

References (13)

1. Balakrishnan AV. Applied functional analysis. Springer-Verlag, 1976
2. Cârjǎ O, Vrabic II. Some new viability results for semilincar differential inclusions, No.Dca Nonlinear Diff Equations Appl 1997; 4: 401-424
3. Cârjǎ O, Vrabie II. Viability for semilinear differential inclusions via weak sequential tangency condition, J Math Anal Appl 2001; 262(1): 24-38
4. Curtain RF, Zwart HJ. An introduction to infinitedimensional linear systems theory, Texts in applied mathematics, vol. 21. Springer-Verlag, 1995
5. Filippov A. Differential equations with discontinuous right-hand sides. Kluwer Academic Publishers, 1988
6. Lcvaggi L. Sliding modes in Banach spaces. Diff Integral Equations 2002; 15(2): 167-189
7. Orlov Yu V. Discontinuous unit feedback control of uncertain infinite-dimensional systems. IEEE Trans Autom Control 2000; 45(5): 834-843
8. Orlov Y, Dochain D. Discontinuous feedback stabilization of minimum-phase semilinear infinite-dimensional systems with application to chemical tubular reactor. IEEE Trans Automat Control 2002; 47(8): 1293-1304
9. Orlov Yu V, Utkin VI. Sliding mode control in indefinite-dimensional systems. Automatica 1987; 23(6), 753-757
10. Orlov Yu V, Utkin VI. Unit sliding mode control in infinite-dimensional systems. Appl Math Comput Sei 1998; 8(1): 7-20
11. Pazy A. Semigroups of linear operators and applications to partial differential equations. Springer-Verlag, 1983
12. Utkin VI. Sliding modes in control optimization, communications and control engineering series. Springer-Verlag, 1992
13. Vrabie II, Compactness methods for nonlinear evolutions. Pitman monographs and surveys in pure and applied mathematics, vol. 32, John Wiley & Sons, Inc., 1987