Small gain theorems for large scale systems and construction of ISS Lyapunov functions

SIAM Journal on Control and Optimization

Volumn 48, Issue 6, 2010, Pages 4089-4118

  Dashkovskiy, Sergey N ^a   Rüffer, Björn S ^b   Wirth, Fabian R ^c  

^a UNIVERSITY OF BREMEN   (Germany)

^b UNIVERSITY OF MELBOURNE   (Australia)

^c UNIVERSITY OF WÜRZBURG   (Germany)

Author keywords

Input to state stability; Interconnected systems; Large scale systems; Lipschitz ISS Lyapunov function; Nonlinear systems; Small gain condition

Indexed keywords

GAIN MATRICES; INPUT-TO-STATE STABILITY; INTERCONNECTED SYSTEMS; ISS-LYAPUNOV FUNCTIONS; LIPSCHITZ; LIPSCHITZ CONTINUOUS; MONOTONE OPERATORS; MUTUAL DEPENDENCIES; NONLINEAR SUBSYSTEMS; SMALL GAIN; SMALL GAIN THEOREM; SMALL-GAIN CONDITION;

DIFFERENTIAL EQUATIONS; LARGE SCALE SYSTEMS; LYAPUNOV FUNCTIONS; NONLINEAR SYSTEMS;

SYSTEM STABILITY;

EID: 77957358333     PISSN: 03630129     EISSN: None     Source Type: Journal    
DOI: 10.1137/090746483     Document Type: Article

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