A generalization of Poincaré's theorem to hybrid and impulsive dynamical systems

Proceedings of the American Control Conference

Volumn 2, Issue , 2002, Pages 1240-1245

  Nersesov, Sergey G ^a   Chellaboina, VijaySekhar ^a   Haddad, Wassim M ^a  

^a University of Missouri   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; BOUNDARY CONDITIONS; CONFORMAL MAPPING; CONTROL SYSTEM ANALYSIS; LYAPUNOV METHODS; SYSTEM STABILITY; THEOREM PROVING; TRAJECTORIES; VECTORS;

CONTINUOUS TIME DYNAMICAL SYSTEMS; HYBRID DYNAMICAL SYSTEMS; IMPULSIVE DYNAMICAL SYSTEMS; LEFT CONTINUOUS DYNAMICAL SYSTEMS; POINCARE THEOREM;

DISCRETE TIME CONTROL SYSTEMS;

EID: 0036056007     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/acc.2002.1023189     Document Type: Conference Paper

References (9)

1. Dissipativity theory and stability of feedback interconnections for hybrid dynamical systems
2. An invariance principle for nonlinear hybrid and impulsive dynamical systems
3. Stability theory of hybrid dynamical systems
4. A unified framework for hybrid control: Model and optimal control theory
5. Nonlinear impulsive dynamical systems part I and part II
6. Asymptotically stable walking for biped robots: Analysis via systems with impulse effects