Limit cycle analysis of the verge and foliot clock escapement using impulsive differential equations and poincaré maps

Proceedings of the American Control Conference

Volumn 4, Issue , 2001, Pages 3245-3250

  Roup, A V ^a   Bernstein, D S ^a   Nersesov, S G ^a   Haddad, W M ^a   Chellaboina, V S ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; BEARINGS (MACHINE PARTS); CLOSED LOOP CONTROL SYSTEMS; DIFFERENTIAL EQUATIONS; DYNAMICS; MATHEMATICAL MODELS; MATRIX ALGEBRA; MECHANICAL CLOCKS; OSCILLATIONS; THEOREM PROVING; TORQUE;

CROWN GEAR; IMPULSIVE DIFFERENTIAL EQUATIONS; LIMIT CYCLE ANALYSIS; PONCAIRE MAPS; VERGE AND FOLIOT ESCAPEMENT MECHANISM;

FEEDBACK CONTROL;

EID: 0034854808     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/acc.2001.946422     Document Type: Conference Paper

References (12)

1. Feedback control in ancient water and mechanical clocks
2. Asymptotically stable walking for biped robots: Analysis via systems with impulse effects
3. A generalization of poincaré's theorem to periodic impulsive dynamical systems