Input-to-state stability for nonlinear time-varying systems via averaging

Mathematics of Control, Signals, and Systems

Volumn 14, Issue 3, 2001, Pages 257-280

  Nesic D ^a   Teel, A R ^b  

^a UNIVERSITY OF MELBOURNE   (Australia)

^b University of California   (United States)

Author keywords

Averaging; Continuous time; Input to state stability; Nonlinear; Time varying

Indexed keywords

ADAPTIVE CONTROL SYSTEMS; ASYMPTOTIC STABILITY; CASCADE CONTROL SYSTEMS; CONVERGENCE OF NUMERICAL METHODS; ORDINARY DIFFERENTIAL EQUATIONS; SYSTEM STABILITY; TIME VARYING CONTROL SYSTEMS;

AVERAGING; INPUT TO STATE STABILITY; NONLINEAR TIME VARYING SYSTEMS;

NONLINEAR CONTROL SYSTEMS;

EID: 0034853039     PISSN: 09324194     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00009885     Document Type: Article

References (20)

1. A new asymptotic stability criterion for nonlinear time-variant differential equations
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4. Small-gain theorem for ISS systems and applications
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6. A smooth converse Lyapunov theorem for robust stability
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8. Averaging results and the study of uniform asymptotic stability of homogeneous differential equations that are not fast time varying
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10. On input-to-state stability property
11. On characterizations of the input-to-state stability property
12. New characterizations of the input-to-state stability property
13. Averaging with disturbances and closeness of solutions
14. Global asymptotic stability for the averaged implies semi-global practical asymptotic stability for the actual