Comments on integral variants of ISS

Systems and Control Letters

Volumn 34, Issue 1-2, 1998, Pages 93-100

  Sontag, Eduardo D ^a  

^a RUTGERS UNIVERSITY   (United States)

Author keywords

Input to state stability; ISS; Nonlinear stability; System gains

Indexed keywords

EID: 0348241184     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6911(98)00003-6     Document Type: Article

References (11)

1. D. Angeli, E.D. Sontag, Y. Wang, A characterization of integral input to state stability, submitted.
2. W. Hahn, Stability of Motion, Springer, Berlin, 1967.
3. J. Hale, Ordinary Differential Equations, 2nd ed., Krieger, Malabar, 1980.
4. A. Isidori, Global almost disturbance decoupling with stability for non minimum-phase single-input single-output nonlinear systems, Systems Control Lett. 28 (1996) 115-122.
5. M. Krstić, I. Kanellakopoulos, P.V. Kokotović, Nonlinear and Adaptive Control Design, Wiley, New York, 1995.
6. L. Praly, Y. Wang, Stabilization in spite of matched unmodelled dynamics and an equivalent definition of input-to-state stability, Math. Control Signals Systems 9 (1996) 1-33.
7. E.D. Sontag, Smooth stabilization implies coprime factorization, IEEE Trans. Automat. Control AC-34 (1989) 435-443.
8. E.D. Sontag, Mathematical Control Theory: Deterministic Finite Dimensional Systems, Springer, New York, 1990.
9. E.D. Sontag, Y. Wang, On characterizations of the input-to-state stability property, Systems Control Lett. 24 (1995) 351-359.
10. E.D. Sontag, Y. Wang, New characterizations of the input to state stability property, IEEE Trans. Automat. Control 41 (1996) 1283-1294.
11. J. Tsinias, Sontag's "input to state stability condition" and global stabilization using state detection, Systems Control Lett. 20 (1993) 219-226.