H∞ -norm and invariant manifolds of systems with state delays

Systems and Control Letters

Volumn 36, Issue 2, 1999, Pages 157-165

  Fridman, Emilia ^a   Shaked, Uri ^a  

^a TEL AVIV UNIVERSITY   (Israel)

Author keywords

Invariant manifolds; Linear H control; Singular perturbations; Small delay; Time delay systems

Indexed keywords

EID: 0001404264     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6911(98)00088-7     Document Type: Article

References (14)

1. ∞ control, IEEE Trans. Automat. Control 34 (1989) 831-847.
2. E. Fridman, Decomposition of boundary problems for singularly perturbed systems of neutral type in conditionally stable case, Differential Equations 28 (6) (1992) 800-810.
3. ∞ -state-feedback control of linear systems with small state-delay, Systems Control Lett. 33 (3) (1998) 141-150.
4. J. Hale, Functional Differential Equations, Springer, Berlin, 1977.
5. ∞ -Control for Distributed Parameter Systems: A State-Space Approach, Birkhauser, Boston, 1993.
6. ∞ control with delays, in: Proc. 34th CDC, New Orleans, 1995, pp. 4175-4181.
7. ∞ controllers for delayed systems, IEEE Trans. Automat. Control 39 (1994) 159-162.
8. M. Malek-Zavarei, M. Jamshidi, Time-Delay Systems, Analysis, Optimization and Applications, North-Holland Systems and Control Series, vol. 9, North-Holland, Amsterdam, 1987.
9. R. O'Malley, Introduction to Singular Perturbations, Academic Press, New York, 1974.
10. U. Shaked, I. Yaesh, C. de Souza, Bounded real criteria for linear time-delay systems, IEEE Trans. Automat. Control 43 (7) (1998) 1016-1022.
11. V. Sobolev, Integral manifolds and decomposition of singularly perturbed systems, Systems Control Lett. 4 (1984) 169-179.
12. W-C. Su, Z. Gajic, X. Shen, The exact slow-fast decomposition of the algebraic Riccati equation of singularly perturbed systems, IEEE Trans. Automat. Control 37 (9) (1992) 1456-1459.
13. G. Tadmor, Robust control of systems with a single input lag, in: Proc. ECC-97, Brussels, 1997.
14. R. Vinter, R. Kwong, The infinite time quadratic control problem for linear systems with state and control delays: an evolution equation approach, SIAM J. Control 19 (1981) 139-153.