A duality principle for homogeneous vectorfields with applications

Systems and Control Letters

Volumn 47, Issue 1, 2002, Pages 37-46

  Moreau, L ^a   Aeyels, D ^b   Peuteman, J ^c   Sepulchre, R ^d  

^a PRINCETON UNIVERSITY   (United States)

^b GHENT UNIVERSITY   (Belgium)

^c Katholieke Hogeschool Brugge Oostende   (Belgium)

^d UNIVERSITY OF LIÈGE   (Belgium)

Author keywords

Boundedness; Geometry; Homogeneity; Stability; Time varying differential equations

Indexed keywords

ASYMPTOTIC STABILITY; DIFFERENTIAL EQUATIONS; FEEDBACK CONTROL; MATHEMATICAL TRANSFORMATIONS; SYSTEM STABILITY; TIME VARYING CONTROL SYSTEMS; VECTORS;

BOUNDEDNESS ANALYSIS; HOMOGENEOUS VECTORFIELDS;

NONLINEAR CONTROL SYSTEMS;

EID: 0037119851     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6911(02)00173-1     Document Type: Article

References (15)

1. Finite-time stability of homogeneous systems
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3. Nilpotent and high-order approximations of vector field systems
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7. Exponential stabilization of driftless nonlinear control systems using homogeneous feedback
8. Trajectory-based local approximations of ordinary differential equations
9. Homogeneous systems: Stability, boundedness and duality
10. Design of homogeneous time-varying stabilizing control laws for driftless controllable systems via oscillatory approximation of Lie brackets in closed loop
11. Averaging results and the study of uniform asymptotic stability of homogeneous differential equations that are not fast time-varying
12. Boundedness properties for time-varying nonlinear systems