TY - JOUR AU - Insperger, Tamás AU - Wahi, P AU - Colombo, A AU - Stépán, Gábor AU - Di Bernardo, M AU - Hogan, SJ TI - Full Characterization of Act-and-wait Control for First-order Unstable Lag Processes JF - JOURNAL OF VIBRATION AND CONTROL J2 - J VIB CONTROL VL - 16 PY - 2010 IS - 7-8 SP - 1209 EP - 1233 PG - 25 SN - 1077-5463 DO - 10.1177/1077546309341135 UR - https://m2.mtmt.hu/api/publication/1359732 ID - 1359732 N1 - Megjegyzés-23977651 ID: it_wahi2010 Funding Agency and Grant Number: Centre de Recerca Matematica (CRM), Barcelona; Hungarian Academy of SciencesHungarian Academy of Sciences; Hungarian National Science Foundation [OTKA K72911, OTKA T068910] Funding text: The authors acknowledge the support from the Centre de Recerca Matematica (CRM), Barcelona, Thematic Research Term on Non-Smooth Complex Systems. Tamas Insperger was supported by the Janos Bolyai Research Scholarship of the Hungarian Academy of Sciences and the Hungarian National Science Foundation under grant no. OTKA K72911. Gabor Stepan was supported by the Hungarian National Science Foundation under grant no. OTKA T068910. Export Date: 28 November 2019 CODEN: JVCOF AB - Act-and-wait control is a special case of time-periodic control for systems with feedback delay, where the control gains are periodically switched on and off in order to stabilize otherwise unstable systems. The stability of feedback systems in the presence of time delay is a challenging problem. In this paper, we show that the act-and-wait type time-periodic control can always provide deadbeat control for first-order unstable lag processes with any (large but) fixed value of the time delay in the feedback loop. A full characterization of this act-and-wait controller with respect to the system and control parameters is given based on performance and robustness against disturbances. LA - English DB - MTMT ER - TY - JOUR AU - Erneux, T. AU - Kalmár-Nagy, Tamás TI - Nonlinear Stability of a Delayed Feedback Controlled Container Crane JF - JOURNAL OF VIBRATION AND CONTROL J2 - J VIB CONTROL VL - 13 PY - 2007 IS - 5 SP - 603 EP - 616 PG - 14 SN - 1077-5463 DO - 10.1177/1077546307074245 UR - https://m2.mtmt.hu/api/publication/2827074 ID - 2827074 LA - English DB - MTMT ER - TY - JOUR AU - Szalai, R AU - Stépán, Gábor AU - Hogan, SJ TI - Continuation of bifurcations in periodic delay-differential equations using characteristic matrices JF - SIAM JOURNAL ON SCIENTIFIC COMPUTING J2 - SIAM J SCI COMPUT VL - 28 PY - 2006 IS - 4 SP - 1301 EP - 1317 PG - 17 SN - 1064-8275 DO - 10.1137/040618709 UR - https://m2.mtmt.hu/api/publication/1109894 ID - 1109894 AB - In this paper we describe a method for continuing periodic solution bifurcations in periodic delay-differential equations. First, the notion of characteristic matrices of periodic orbits is introduced and equivalence with the monodromy operator is demonstrated. An alternative formulation of the characteristic matrix is given, which can be computed efficiently. Defining systems of bifurcations are constructed in a standard way, including the characteristic matrix and its derivatives. For following bifurcation curves in two parameters, the pseudo-arclength method is used combined with Newton iteration. Two test examples (an interrupted machining model and a traffic model with driver reaction time) conclude the paper. The algorithm has been implemented in the software tool PDDE-CONT. LA - English DB - MTMT ER - TY - CHAP AU - Kalmár-Nagy, Tamás TI - A new look at the stability analysis of delay differential equations T2 - ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference PB - American Society of Mechanical Engineers (ASME) CY - New York, New York SN - 0791847438 T3 - ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference ; 6. PY - 2005 SP - 817 EP - 822 PG - 6 DO - 10.1115/DETC2005-84740 UR - https://m2.mtmt.hu/api/publication/2836274 ID - 2836274 N1 - ASME Design Engineering Division; ASME Computers and Information in Engineering Division Conference code: 66675 LA - English DB - MTMT ER - TY - JOUR AU - Butcher, Eric A. AU - Ma, Hai-Tao AU - Bueler, Ed AU - Averina, Victoria AU - Szabó, Zsolt TI - Stability of Linear Time-Periodic Delay-Differential Equations Via Chebyshev Polynomials JF - INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING J2 - INT J NUMER METH ENG VL - 59 PY - 2004 IS - 7 SP - 895 EP - 922 PG - 28 SN - 0029-5981 DO - 10.1002/nme.894 UR - https://m2.mtmt.hu/api/publication/2637272 ID - 2637272 LA - English DB - MTMT ER - TY - JOUR AU - Insperger, Tamás AU - Stépán, Gábor TI - Semi-discretization method for delayed systems JF - INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING J2 - INT J NUMER METH ENG VL - 55 PY - 2002 IS - 5 SP - 503 EP - 518 PG - 16 SN - 0029-5981 DO - 10.1002/nme.505 UR - https://m2.mtmt.hu/api/publication/1148732 ID - 1148732 N1 - Export Date: 29 November 2019 CODEN: IJNMB AB - The paper presents an efficient numerical method for the stability analysis of linear delayed systems. The method is based on a special kind of discretization technique with respect to the past effect only. The resulting approximate system is delayed and also time periodic, but still, it can be transformed analytically into a high-dimensional linear discrete system. The method is applied to determine the stability charts of the Mathieu equation with continuous time delay. Copyright (C) 2002 John Wiley Sons, Ltd. LA - English DB - MTMT ER - TY - JOUR AU - Kalmár-Nagy, Tamás AU - Stépán, Gábor AU - Moon, FC TI - Subcritical Hopf bifurcation in the delay equation model for machine tool vibrations JF - NONLINEAR DYNAMICS J2 - NONLINEAR DYNAM VL - 26 PY - 2001 IS - 2 SP - 121 EP - 142 PG - 22 SN - 0924-090X DO - 10.1023/A:1012990608060 UR - https://m2.mtmt.hu/api/publication/106051 ID - 106051 N1 - Export Date: 29 November 2019 CODEN: NODYE AB - We show the existence of a subcritical Hopf bifurcation in the delay-differential equation model of the so-called regenerative machine tool vibration. The calculation is based on the reduction of the infinite-dimensional problem to a two-dimensional center manifold. Due to the special algebraic structure of the delayed terms in the nonlinear part of the equation, the computation results in simple analytical formulas. Numerical simulations gave excellent agreement with the results. LA - English DB - MTMT ER - TY - JOUR AU - Stépán, Gábor TI - Modelling nonlinear regenerative effects in metal cutting JF - PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A - MATHEMATICAL PHYSICAL & ENGINEERING SCIENCES J2 - PHILOS TRANS - R SOC A VL - 359 PY - 2001 SP - 739 EP - 757 PG - 19 SN - 1364-503X DO - 10.1098/rsta.2000.0753 UR - https://m2.mtmt.hu/api/publication/106054 ID - 106054 N1 - Export Date: 29 November 2019 LA - English DB - MTMT ER - TY - CHAP AU - Kalmár-Nagy, Tamás AU - Pratt, J R AU - Davies, M A AU - Kennedy, M D ED - Sinha, S ED - Flowers, G TI - Experimental and Analytical Investigation of the Subcritical Instability in Metal Cutting T2 - Proceedings of ASME DETC99: The 17th Biennial Conference on Mechanical Vibration and Noise PB - American Society of Mechanical Engineers (ASME) CY - New York, New York SN - 9780791880395 PY - 1999 SP - 1721 EP - 1729 PG - 9 DO - 10.1115/DETC99/VIB-8060 UR - https://m2.mtmt.hu/api/publication/2836578 ID - 2836578 LA - English DB - MTMT ER - TY - CHAP AU - Stépán, Gábor ED - Moon, FC TI - Delay-differential equation models for machine tool chatter T2 - Dynamics and Chaos in Manufacturing Processes PB - John Wiley & Sons CY - New York, New York SN - 0471152935 PY - 1998 SP - 165 EP - 192 PG - 28 UR - https://m2.mtmt.hu/api/publication/1002656 ID - 1002656 LA - English DB - MTMT ER - TY - BOOK AU - Stépán, Gábor TI - Retarded Dynamical Systems. Stability and Characteristic Functions TS - Stability and Characteristic Functions T3 - Pitman Research Notes in Mathematics Series ; 210. ET - 0 PB - Longman Scientific and Technical CY - Harlow PY - 1989 SP - 151 SN - 0470213353 UR - https://m2.mtmt.hu/api/publication/1002286 ID - 1002286 N1 - co-published: Wiley, New York LA - English DB - MTMT ER -