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Volumn 4, Issue 4, 1998, Pages 333-344

PDEs with Distributed Control and Delay in the Loop: Transfer Function Poles, Exponential Modes and Robustness of Stability

Author keywords

Distributed control; Partial differential equations; Robustness; Small time delays; Stability; Transfer functions

Indexed keywords

CLOSED LOOP CONTROL SYSTEMS; FEEDBACK; MODAL ANALYSIS; PARTIAL DIFFERENTIAL EQUATIONS; POLES AND ZEROS; ROBUSTNESS (CONTROL SYSTEMS); SYSTEM STABILITY; TRANSFER FUNCTIONS;

EID: 0032316675     PISSN: 09473580     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0947-3580(98)70126-8     Document Type: Article
Times cited : (5)

References (13)
  • 1
    • 0015671702 scopus 로고
    • 2-instability of linear time-invariant distributed feedback systems perturbed by a small delay in the loop
    • 2-instability of linear time-invariant distributed feedback systems perturbed by a small delay in the loop. IEEE Trans Autom Control 1973; 18: 479-484
    • (1973) IEEE Trans Autom Control , vol.18 , pp. 479-484
    • Barman, J.F.1    Callier, F.M.2    Desoer, C.A.3
  • 3
    • 0024002279 scopus 로고
    • Not all feedback stabilized hyperbolic systems are robust with respect to small time delays in their feedbacks
    • Datko R. Not all feedback stabilized hyperbolic systems are robust with respect to small time delays in their feedbacks. SIAM J Control Opt 1988; 26: 697-713
    • (1988) SIAM J Control Opt , vol.26 , pp. 697-713
    • Datko, R.1
  • 4
    • 0022463140 scopus 로고
    • An example of the effect of time delays in boundary feedback stabilization of wave equations
    • Datko R, Lagnese J, Polis MP. An example of the effect of time delays in boundary feedback stabilization of wave equations. SIAM J Control Opt 1986; 24: 152-156
    • (1986) SIAM J Control Opt , vol.24 , pp. 152-156
    • Datko, R.1    Lagnese, J.2    Polis, M.P.3
  • 5
    • 0026220545 scopus 로고
    • Some second-order vibrating systems cannot tolerate small time delays in their damping
    • Datko R, You YC, Some second-order vibrating systems cannot tolerate small time delays in their damping. J Opt Theory Appl 1991; 70: 521-537
    • (1991) J Opt Theory Appl , vol.70 , pp. 521-537
    • Datko, R.1    You, Y.C.2
  • 6
    • 0346870097 scopus 로고
    • Destabilization due to delay in one-dimensional feedback
    • Kappel F, Kunisch K, Schappacher W (eds). Birkḧauser Verlag, Boston.
    • Desch W, Wheeler RL. Destabilization due to delay in one-dimensional feedback. In: Kappel F, Kunisch K, Schappacher W (eds). Control and estimation of distributed parameter systems. Birkḧauser Verlag, Boston. 1989. pp 61-83
    • (1989) Control and Estimation of Distributed Parameter Systems , pp. 61-83
    • Desch, W.1    Wheeler, R.L.2
  • 8
    • 0024072506 scopus 로고
    • Effectiveness and robustness with respect to time delays of boundary feedback stabilization in one-dimensional viscoelasticity
    • Hannsgen KB, Renardy Y, Wheeler RL. Effectiveness and robustness with respect to time delays of boundary feedback stabilization in one-dimensional viscoelasticity. SIAM J Control Opt 1988; 26: 1200-1234
    • (1988) SIAM J Control Opt , vol.26 , pp. 1200-1234
    • Hannsgen, K.B.1    Renardy, Y.2    Wheeler, R.L.3
  • 9
    • 0002616259 scopus 로고
    • Stabilization of a hybrid system of elasticity by feedback damping
    • Littman W, Markus L. Stabilization of a hybrid system of elasticity by feedback damping. Ann Mat Pura Appl 1988; 52: 281-330
    • (1988) Ann Mat Pura Appl , vol.52 , pp. 281-330
    • Littman, W.1    Markus, L.2
  • 10
    • 0030395211 scopus 로고    scopus 로고
    • The effect of small-time delays on the closed-loop stability of boundary control systems
    • Logemann H, Rebarber R. The effect of small-time delays on the closed-loop stability of boundary control systems. Math Control Signals Syst 1996; 9: 123-151
    • (1996) Math Control Signals Syst , vol.9 , pp. 123-151
    • Logemann, H.1    Rebarber, R.2
  • 11
    • 0030106714 scopus 로고    scopus 로고
    • Conditions for robustness and nonrobustness of the stability of feedback systems with respect to small delays in the feedback loop
    • Logemann H, Rebarber R, Weiss G. Conditions for robustness and nonrobustness of the stability of feedback systems with respect to small delays in the feedback loop. SIAM J Control Opt 1996; 34: 572-600
    • (1996) SIAM J Control Opt , vol.34 , pp. 572-600
    • Logemann, H.1    Rebarber, R.2    Weiss, G.3
  • 13
    • 49549146426 scopus 로고
    • Decay rates for weakly damped systems in Hilbert space obtained with control-theoretic methods
    • Russell DL. Decay rates for weakly damped systems in Hilbert space obtained with control-theoretic methods. J Differ Equ 1975; 19: 344-370
    • (1975) J Differ Equ , vol.19 , pp. 344-370
    • Russell, D.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.