Stability and robustness analysis of nonlinear systems via contraction metrics and SOS programming

Automatica

Volumn 44, Issue 8, 2008, Pages 2163-2170

  Aylward, Erin M ^a,b   Parrilo, Pablo A ^a   Slotine, Jean Jacques E ^a  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

^b BBN TECHNOLOGIES   (United States)

Author keywords

Contraction analysis; Nonlinear systems; Robust stability; Sum of squares

Indexed keywords

CONTROL THEORY; DYNAMICAL SYSTEMS; DYNAMICS; EIGENVALUES AND EIGENFUNCTIONS; FUZZY CONTROL; LINEAR CONTROL SYSTEMS; LINEAR MATRIX INEQUALITIES; MATRIX ALGEBRA; MILITARY DATA PROCESSING; NONLINEAR ANALYSIS; NONLINEAR SYSTEMS; POLYNOMIAL APPROXIMATION; POLYNOMIALS; SCHRODINGER EQUATION; SEMICONDUCTOR SWITCHES; SHRINKAGE; STABILITY; SYSTEM STABILITY;

AUTONOMOUS SYSTEM (AS); CONVEX OPTIMIZATION PROBLEMS; ELSEVIER (CO); GLOBAL STABILITY; LINEAR DYNAMICAL SYSTEMS; LINEAR MATRIX IN EQUALITIES (LMI); LYAPUNOV ANALYSIS; METRICS (CO); POLYNOMIAL MATRICES; ROBUST STABILITY; SEARCH PROCESSES; STABILITY AND ROBUSTNESS; SUFFICIENT CONDITIONS; SUM OF SQUARES (SOS); UNCERTAIN NONLINEAR SYSTEMS;

LINEAR STABILITY ANALYSIS;

EID: 47249112623     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2007.12.012     Document Type: Article

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