Actas de congresos
Analysis Of Neutral Systems With Commensurate Delays And Many Chains Of Poles Asymptotic To Same Points On The Imaginary Axis
Registro en:
9783902823045
Ifac Proceedings Volumes (ifac-papersonline). , v. 10, n. PART 1, p. 120 - 125, 2012.
14746670
10.3182/20120622-3-US-4021.00036
2-s2.0-84866057421
Autor
Nguyen L.H.V.
Fioravanti A.R.
Bonnet C.
Institución
Resumen
We investigate the location of poles of neutral systems with many chains of poles asymptotic to same points on the imaginary axis, this question being the first step towards stability analysis. In many cases, chains of poles are located on both sides of the imaginary axis implying then instability. © 2012 IFAC. 10 PART 1 120 125 IFAC TC 2.2. Linear Control Systems,IFAC TC 2.3. Non-Linear Control Systems,IFAC TC 2.5. Robust Control,IFAC TC 2.1. Control Design,IFAC TC 1.5. Networked Systems Bellman, R., Cooke, K.L., (1963) Differential-Difference Equations, , Academic Press, New York, London Bonnet, C., Fioravanti, A.R., Partington, J.R., Stability of neutral systems with commensurate delays and poles asymptotic to the imaginary axis (2011) SIAM Journal on Control and Optimization, 49, pp. 498-516 Michiels, W., Niculescu, S.I., (2007) Stability and Stabilization of Time-Delay Systems, , Society for Industrial & Applied Mathematics,U.S Pontryagin, L.S., On the zeros of some elementary transcendental functions (1955) American Mathematical Society Transactions, 2, pp. 95-110 Richard, J.P., Time-delay systems: An overview of some recent advances and open problems (2003) Automatica, 39, pp. 1667-1694 Vyhlídal, T., Zítek, P., Quasipolynomial mapping based rootfinder for analysis of time delay systems (2003) Proceedings of the IFAC Workshop on Time-Delay Systems (TDS'03, Rocquencourt), , Rocquencourt, France