A note about total stability of a class of hybrid systems

Informatica

Volumn 17, Issue 4, 2006, Pages 565-576

  De La Sen, Manuel ^a  

^a UNIVERSITY OF THE BASQUE COUNTRY UPV EHU   (Spain)

Author keywords

Dynamic hybrid systems; Stability; Total stability

Indexed keywords

EID: 33845602228     PISSN: 08684952     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (15)

1. Bargelis, A., G. Hoehne and A. Cesnulevicus (2004). Intelligent functional model for costs minimization in hybrid manufacturing systems. Informatica, 15(1), 3-22.
2. Chaib, S., D. Boutat, A. Benali and J.P. Barbot (2005). Observability of the discrete state for dynamical piece-wise hybrid systems. Nonlinear Analysis - Theory Methods & Applications, 63(3), 423-438.
3. Hale, J.K. (1980). Ordinary Differential Equations. Wiley (Interscience), New York.
4. Kabamba, P.T., and S. Hara (1993). Worst-case analysis and design of sampled-data control systems. IEEE Trans. Automat. Contr., AC-38(9).
5. Kafri,W.S., and E.H. Abed (1996). Stability analysis of discrete-time singulary perturbed systems. IEEE Transactions on Circuits and Systems, 43(10), 848-850.
6. Kincaid, D., and W. Cheney (1991). Numerical Analysis. Brooks/Cole Publishing Co., Wadsworth Inc., Belmont, CA.
7. Kolev, L.V. (1993). Interval Methods for Circuit Analysis. World Scientific, Singapore.
8. Marchenko, V.M., and O.N. Poddubnaya (2005). Solution representations and relative controllability of linear differential algebraic systems with several delays. Doklady Mathematics, 72(2), 824-828.
9. Oppenheimer, E.P., and A.N. Michel (1988). Application of interval analysis techniques to linear systems: Part II - The interval matrix exponential function, and Part III - Initial value problems. IEEE Trans. Circuits and Systems, 35, 1230-1256.
10. De la Sen, M. (1996). The reachability and observability of hybrid multirate sampling linear systems. Computers and Mathematics Applic., 31(1), 109-122.
11. De la Sen, M. (2004). Sufficiency-type stability and stabilization criteria for linear time-invariant systems with constant point delays. Acta Applicandae Mathematicae, 83(3), 235-256.
12. De la Sen, M. (2006). On the adaptive control of a class of SISO dynamic hybrid systems. Applied Numerical Mathematics, 56(5), 618-647.
13. De la Sen, M., and C.F. Alastruey (2004). Stability results for two classes of linear time-delay and hybrid systems. Engineering Computations, 21(7), 718-735.
14. De la Sen, M., and Ningsu Luo (2004). On the uniform exponential stability of a wide class of linear time-delay systems. J. Math. Anal. Appl., 289(2), 456-476.
15. Shieh, L.S., J.S. Tsai and S.R. Lian (1986). Deterministic continuous-time state equations via the principal qth root method. IEEE Trans. Automat. Contr., AC-31(5), 454-457.