Necessary and sufficient small gain conditions for integral input-to-state stable systems: A Lyapunov perspective

IEEE Transactions on Automatic Control

Volumn 54, Issue 10, 2009, Pages 2389-2404

  Ito, Hiroshi ^a   Jiang, Zhong Ping ^b  

^a KYUSHU INSTITUTE OF TECHNOLOGY   (Japan)

^b POLYTECHNIC UNIVERSITY   (United States)

Author keywords

Integral input to state stability (iISS); Lyapunov function; Necessary condition; Nonlinear interconnected systems; Small gain condition

Indexed keywords

EXTERNAL INPUT; GLOBAL ASYMPTOTIC STABILITY; INPUT-TO-STATE STABLE SYSTEMS; INTEGRAL INPUT-TO-STATE; INTEGRAL INPUT-TO-STATE STABILITY (IISS); INTEGRAL INPUT-TO-STATE STABLE (IISS) SYSTEM; INTERCONNECTED NONLINEAR SYSTEMS; INTERCONNECTED SYSTEMS; LYAPUNOV; MODEL UNCERTAINTIES; NECESSARY CONDITION; NONLINEAR INTERCONNECTED SYSTEMS; SMALL GAIN CONDITION; STABILITY PROPERTIES; SUFFICIENT CONDITIONS; TECHNICAL CONDITIONS;

ASYMPTOTIC STABILITY; DIFFERENTIAL EQUATIONS; INTERCONNECTION NETWORKS; LARGE SCALE SYSTEMS; LYAPUNOV FUNCTIONS; NONLINEAR SYSTEMS; TRAJECTORIES; UNCERTAINTY ANALYSIS;

SYSTEM STABILITY;

EID: 70350342894     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2009.2028980     Document Type: Article

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