Structure of expansion-contraction matrices in the inclusion principle for dynamic systems

SIAM Journal on Matrix Analysis and Applications

Volumn 21, Issue 4, 2000, Pages 1136-1155

  Bakule, Lubomír ^a   Rodellar, José ^b   Rossell, Josep M ^b  

^a INSTITUTE OF INFORMATION THEORY AND AUTOMATION   (Czech Republic)

^b UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

Decentralized control; Decomposition; Inclusion principle; Large scale systems; Overlapping

Indexed keywords

EID: 0034144759     PISSN: 08954798     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0895479898340548     Document Type: Article

References (10)

1. L. BAKULE AND J. LUNZE, Decentralized Design of Feedback Control for Large-Scale Systems, Kybernetika (Prague) Suppl. 24, 1988.
2. L. BAKULE AND J. RODELLAR, Decentralized control and overlapping decomposition of mechanical systems. Part 1: System decomposition. Part 2: Decentralized stabilization, Internat. J. Control, 61 (1995), pp. 559-587.
3. A. IFTAR AND U. ÖZGÜNER, Contractible controller design and optimal control with state and input inclusion, Automatica J. IFAC, 26 (1990), pp. 593-597.
4. M. IKEDA AND D.D. ŠILJAK, Overlapping decompositions, expansions and contractions of dynamic systems, Large Scale Systems, 1 (1980), pp. 29-38.
5. M. IKEDA AND D.D. ŠILJAK, Generalized decompositions of dynamic systems and vector Lyapunov functions, IEEE Trans. Automat. Control, 26 (1981), pp. 1118-1125.
6. M. IKEDA AND D.D. ŠILJAK, Overlapping decentralized control with input, state and output inclusion, Control Theory Adv. Tech., 2 (1986), pp. 155-172.
7. M. IKEDA, D.D. ŠILJAK, AND D.E. WHITE, An inclusion principle for dynamic systems, IEEE Trans. Automat. Control, 29 (1984), pp. 244-249.
8. J.M. ROSSELL, J. RODELLAR, AND P. RUBIÓ, The generalized inclusion principle: New expansion forms, in Proceedings of the Meeting on Matrix Analysis and Applications, University of Sevilla, Sevilla, Spain, 1997, pp. 375-382 (in Spanish).
9. J.M. ROSSELL, Contribution to Decentralized Control of Large-Scale Systems via Overlapping Models, Ph.D. thesis, Technical University of Catalunya, Barcelona, Spain, 1998 (in Spanish).
10. D.D. ŠILJAK, Decentralized Control of Complex Systems, Academic Press, New York, 1991.