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Volumn 51, Issue 2, 2004, Pages 151-164

Stability of partial difference equations governing control gains in infinite-dimensional backstepping

Author keywords

Boundary control; Gain kernel; LTV difference equations; Parabolic PDEs; Stability

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; MATRIX ALGEBRA; PARTIAL DIFFERENTIAL EQUATIONS; PERTURBATION TECHNIQUES; STATE FEEDBACK; SYSTEM STABILITY;

EID: 0348155922     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6911(03)00222-6     Document Type: Article
Times cited : (35)

References (12)
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    • 0000019511 scopus 로고    scopus 로고
    • Infinite dimensional backstepping - Style feedback transformations for a heat equation with an arbitrary level of instability
    • Balogh A., Krstic M. Infinite dimensional backstepping - style feedback transformations for a heat equation with an arbitrary level of instability. Eur. J. Control. 8(3):2002;165-175.
    • (2002) Eur. J. Control , vol.8 , Issue.3 , pp. 165-175
    • Balogh, A.1    Krstic, M.2
  • 2
    • 0043160394 scopus 로고    scopus 로고
    • Backstepping in infinite dimension for a class of parabolic distributed parameter systems
    • Boskovic D., Balogh A., Krstic M. Backstepping in infinite dimension for a class of parabolic distributed parameter systems. Math. Control Signals, Systems. 16:2003;44-75.
    • (2003) Math. Control Signals, Systems , vol.16 , pp. 44-75
    • Boskovic, D.1    Balogh, A.2    Krstic, M.3
  • 3
    • 0345381799 scopus 로고    scopus 로고
    • Stabilization of a solid propellant rocket instability by state feedback
    • Boskovic D., Krstic M. Stabilization of a solid propellant rocket instability by state feedback. Int. J. Robust Nonlinear Control. 13:2003;483-495.
    • (2003) Int. J. Robust Nonlinear Control , vol.13 , pp. 483-495
    • Boskovic, D.1    Krstic, M.2
  • 7
    • 0003223550 scopus 로고
    • Linear and Quasi-linear Equations of Parabolic Type
    • AMS, Providence, RI
    • O. Ladyzhenskaya, V. Solonnikov, N. Ural'ceva, Linear and Quasi-linear Equations of Parabolic Type, Translations of AMS, Vol. 23, AMS, Providence, RI, 1968.
    • (1968) Translations of AMS , vol.23
    • Ladyzhenskaya, O.1    Solonnikov, V.2    Ural'ceva, N.3
  • 9
    • 0013240722 scopus 로고
    • Stability and instability for solutions of Burgers' equation with a semilinear boundary condition
    • Levine H. Stability and instability for solutions of Burgers' equation with a semilinear boundary condition. SIAM J. Math. Anal. 19(2):1988;312-336.
    • (1988) SIAM J. Math. Anal. , vol.19 , Issue.2 , pp. 312-336
    • Levine, H.1
  • 10
    • 0242711574 scopus 로고
    • The Operator Approach to Problems of Stability and Convergence of Solutions of Difference Equations and the Convergence of Various Iteration Procedures
    • New York: Scripta Mathematica
    • Lowan A. The Operator Approach to Problems of Stability and Convergence of Solutions of Difference Equations and the Convergence of Various Iteration Procedures. The Scripta Mathematica Studies. Vol. 8:1957;Scripta Mathematica, New York.
    • (1957) The Scripta Mathematica Studies , vol.8
    • Lowan, A.1
  • 12
    • 0000820706 scopus 로고
    • Controllability and stabilizability theory for linear partial differential equations: Recent progress and open questions
    • Russell D.L. Controllability and stabilizability theory for linear partial differential equations. recent progress and open questions SIAM Rev. 20(4):1978;639-739.
    • (1978) SIAM Rev. , vol.20 , Issue.4 , pp. 639-739
    • Russell, D.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.