On the necessity of the small-gain theorem in the performance analysis of nonlinear systems

Proceedings of the IEEE Conference on Decision and Control

Volumn 1, Issue , 2001, Pages 51-56

  Freeman, Randy A ^a  

^a Northwestern University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FEEDBACK CONTROL; FUNCTIONS; GAIN CONTROL; MATHEMATICAL OPERATORS; ROBUSTNESS (CONTROL SYSTEMS); THEOREM PROVING;

CONDITIONAL GAIN;

NONLINEAR CONTROL SYSTEMS;

EID: 0035705843     PISSN: 01912216     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (11)

1. On the input-output stability of time-varying nonlinear feedback systems. Part I: Conditions using concepts of loop gain, conicity, and positivity
2. The necessity of the small-gain theorem for time-varying and nonlinear systems
3. Fading-memory feedback systems and robust stability
4. Necessary conditions for robust stability of a class of nonlinear systems
5. Input-output stability
6. Dissipative dynamical systems, Part I: General theory
7. Dissipative dynamical systems: Basic input-output and state properties