Invariance and monotonicity of nonlinear iterated systems

Lecture Notes in Control and Information Sciences

Volumn 341, Issue , 2006, Pages 407-414

  Bitsoris, George ^a   Truffet, Laurent ^b  

^a UNIVERSITY OF PATRAS   (Greece)

^b INSTITUT DE RECHERCHE EN COMMUNICATIONS ET CYBERNÉTIQUE DE NANTES   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33750189662     PISSN: 01708643     EISSN: None     Source Type: Book Series    
DOI: 10.1007/11757344_52     Document Type: Article

References (11)

1. F. Blanchini,(1991), Constrained control for uncertain linear systems. JOTA, pp.465-484.
2. G. Bitsoris, (1986), Sur l'existence des ensembles invariant polyhedraux des systemes lineaires discrets. Rapport LAAS-CNRS, No. 86015.Toulouse-France.
3. G. Bitsoris, (1988), On the Positive Invariance of Polyhedral Sets for Discrete-Time Systems, Syst. and Control. Letters. 11, pp. 243-248.
4. G. Bitsoris and E. Gravalou,(1995), Comparison principle, positive invariance and constrained regulation of nonlinear-systems, Automatica,pp. 217-222.
5. L. Farina, and L. Benvenuti,(1998), Invariant Polytopes of Linear Systems IMA Journal of Mathematical Control and Information, 15, pp. 233-240.
6. J.C.Hennet, (1989), Une extension du Lemme de Farkas et son Application au Probleme de Regulation Linéaire sous Contraintes, C.R.A.S.t. 308, Serie I, pp. 415-419.
7. J.C.Hennet and E.B.Castelan, (1993), Constrained control of unstable multivariable systems, in Proc. ECC '93, Groningen, The Nederlands, pp. 2039-2043.
8. L. Truffet, (2003), Monotone Linear Dynamical Systems over Diods,in Positive Systems: in Lecture Notes in Control and Inform. Sci., vol. 294, (39-46), Springer-Verlag.
9. L. Truffet, (2005), Exploring Positively Invariant Sets by Linear Systems Over Idempotent Semirings. IMA Journal of Mathematical Control and Information
10. L. Truffet and E. Wagneur, (2003), Monotonicity and Positive Invariance of Linear Systems over Diods. International Workshop on Max-lpus Algebra (IWMA'03), Birmingham, U.K.
11. M. Vassilaki, J.C. Hennet and G.Bitsoris, (1988), Feedback control of linear discrete-time systems under state and control constraints, Int. J. Control 47, pp. 1727-1735.