Analytical stability bound for delayed second-order systems with repeating poles using Lambert function W

Automatica

Volumn 38, Issue 5, 2002, Pages 891-895

  Chen, YangQuan ^a   Moore, Kevin L ^a  

^a Utah State University   (United States)

Author keywords

Analytical solutions; Delay; Lambert function; Stability bound

Indexed keywords

DIFFERENTIAL EQUATIONS; LAPLACE TRANSFORMS; POLES AND ZEROS; PROPORTIONAL CONTROL SYSTEMS; SYSTEM STABILITY;

LAMBERT FUNCTIONS; SECOND-ORDER SYSTEMS;

DELAY CONTROL SYSTEMS;

EID: 0036568205     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0005-1098(01)00264-3     Document Type: Article

References (14)

1. Analytical solution of a system of homogeneous delay differential equations via the Lambert function
2. Lambert's W function in Maple
3. On the Lambert W function
4. A sequence of series for the Lambert W function
5. Deformulis exponentialibus replicatis
6. De serie Lambertina plurimistique eius insignibus proprietatibus
7. Unwinding the branches of the Lambert W function
8. Observations varies in mathesin puram
9. Process control - Designing processes and control systems for dynamic performance
10. Some applications of the Lambert's W function to physics
11. The linear difference-differential equation with constant coefficients