A on the literature's two different definitions of uniform global asymptotic stability for nonlinear systems

Lecture Notes in Control and Information Sciences

Volumn 328, Issue , 2006, Pages 285-289

  Teel, Andrew ^a   Zaccarian, Luca ^a  

^a UNIVERSITY OF ROME TOR VERGATA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

NONLINEAR SYSTEMS; TIME VARYING SYSTEMS;

GLOBAL ATTRACTIVITY; GLOBAL BOUNDEDNESS; LOCAL STABILITY; NONLINEAR TIME VARYING SYSTEMS; RIGHT-HAND SIDES; TIME VARYING; UNIFORM GLOBAL ASYMPTOTIC STABILITIES;

ASYMPTOTIC STABILITY;

EID: 33748789393     PISSN: 01708643     EISSN: None     Source Type: Book Series    
DOI: 10.1007/11583592_8     Document Type: Article

References (11)

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2. E.A. Barbashin and N.N. Krasovskii. On the existence of a function of Lyapunov in the case of asymptotic stability in the large. Prikl. Mat. Meh., 18:345-350, 1954.
3. W. Hahn. Stability of Motion. Springer-Verlag, 1967.
4. H.K. Khalil. Nonlinear Systems. Prentice Hall, USA, 2nd edition, 1996.
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6. J.L. Massera. Contributions to stability theory. Ann. of Math., 64:182-206, 1956.
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8. A.R. Teel and L. Zaccarian. On "uniformity" in definitions of global asymptotic stability for time-varying nonlinear systems. Automatica, 2006, submitted.
9. M. Vidyasagar. Nonlinear Systems Analysis. Prentice-Hall, Englewood Cliffs, New Jersey, 2nd edition, 1993.
10. J.L. Willems. Stablity theory of dynamical systems. Thomas Nelson and sons, Great Britain, 1970.
11. T. Yoshizawa. Stability theory and the existence of periodic solutions and almost periodic solutions. Springer-Verlag, New York(USA), 1975.