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JOURNALS // Algebra i Analiz

Algebra i Analiz, 2001, Volume 13, Issue 3, Pages 1–17 (Mi aa934)

Exponential Riesz bases of subspaces and divided differences
S. A. Avdonin, S. A. Ivanov

This publication is cited in the following articles:
  1. S. A. Avdonin, S. A. Ivanov, “Density of Zeros of the Cartwright Class Functions and the Helson–Szegő Type Condition”, Math. Notes, 113:2 (2023), 165–171  mathnet  crossref  crossref  mathscinet
  2. Avdonin S., Park J., De Teresa L., “The Kalman Condition For the Boundary Controllability of Coupled 1-D Wave Equations”, Evol. Equ. Control Theory, 9:1 (2020), 255–273  crossref  mathscinet  isi  scopus
  3. Avdonin S., Edward J., “Controllability For a String With Attached Masses and Riesz Bases For Asymmetric Spaces”, Math. Control Relat. Fields, 9:3 (2019), 453–494  crossref  mathscinet  isi
  4. Ben Amara J., Beldi E., “Boundary Controllability of Two Vibrating Strings Connected By a Point Mass With Variable Coefficients”, SIAM J. Control Optim., 57:5 (2019), 3360–3387  crossref  mathscinet  isi
  5. Avdonin S., Edward J., “Exact Controllability For String With Attached Masses”, SIAM J. Control Optim., 56:2 (2018), 945–980  crossref  mathscinet  zmath  isi  scopus
  6. Zhao Zh.-X., Banda M.K., Guo B.-Zh., “Simultaneous Identification of Damping Coefficient and Initial Value For PDEs From Boundary Measurement”, Int. J. Control, 91:7 (2018), 1508–1521  crossref  mathscinet  isi  scopus
  7. Avdonin S., Nicaise S., “Source Identification Problems For the Wave Equation on Graphs”, Inverse Probl., 31:9 (2015), 095007  crossref  mathscinet  zmath  isi  scopus
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  9. Avdonin S.A., Belinskiy B.P., “On Controllability of a Linear Elastic Beam With Memory Under Longitudinal Load”, Evol. Equ. Control Theory, 3:2 (2014), 231–245  crossref  mathscinet  zmath  isi  elib  scopus
  10. Avdonin S., Rivero A.Ch., de Teresa L., “Exact Boundary Controllability of Coupled Hyperbolic Equations”, Int. J. Appl. Math. Comput. Sci., 23:4 (2013), 701–709  crossref  mathscinet  isi  scopus
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  14. Avdonin S.A., Belinskiy B.P., Pandolfi L., “Controllability of a Nonhomogeneous String and Ring under Time Dependent Tension”, Mathematical Modelling of Natural Phenomena, 5:4 (2010), 4–31  crossref  mathscinet  zmath  isi  scopus
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  17. V. V. Vlasov, S. A. Ivanov, “Sharp estimates for solutions of systems with aftereffect”, St. Petersburg Math. J., 20:2 (2009), 193–211  mathnet  crossref  mathscinet  zmath  isi  elib
  18. V. V. Vlasov, D. A. Medvedev, “Functional-differential equations in Sobolev spaces and related problems of spectral theory”, Journal of Mathematical Sciences, 164:5 (2010), 659–841  mathnet  crossref  mathscinet  elib
  19. Guo Bao-Zhu, Wang Jun-Min, Zhou Cui-Lian, “On the dynamic behavior and stability of controlled connected Rayleigh beams under pointwise output feedback”, ESAIM Control Optim. Calc. Var., 14:3 (2008), 632–656  crossref  mathscinet  zmath  isi  scopus
  20. Sklyar G.M., Szkibiel G., “Controllability from rest to arbitrary position of the nonhomogenous Timoshenko beam”, Zh. Mat. Fiz. Anal. Geom., 4:2 (2008), 305–318  mathnet  mathscinet  zmath  isi
  21. Chang Jin-De, Guo Bao-Zhu, “Identification of variable spacial coefficients for a beam equation from boundary measurements”, Automatica J. IFAC, 43:4 (2007), 732–737  crossref  mathscinet  zmath  isi  scopus
  22. Guo Bao-Zhu, Xu Gen-Qi, “Expansion of solution in terms of generalized eigenfunctions for a hyperbolic system with static boundary condition”, J. Funct. Anal., 231:2 (2006), 245–268  crossref  mathscinet  zmath  isi  elib  scopus
  23. Edward J., “Ingham–type inequalities for complex frequencies and applications to control theory”, J. Math. Anal. Appl., 324:2 (2006), 941–954  crossref  mathscinet  zmath  adsnasa  isi  scopus
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  25. Xu Gen Qi, Yung Siu Pang, “The expansion of a semigroup and a Riesz basis criterion”, J. Differential Equations, 210:1 (2005), 1–24  crossref  mathscinet  zmath  adsnasa  isi  scopus
  26. Guo B.-Zh., Xu G.-Q., “On Basis Property of a Hyperbolic System with Dynamic Boundary Condition”, Differ. Integral Equ., 18:1 (2005), 35–60  mathscinet  zmath  isi
  27. Guo Bao-Zhu, Xie Yu, “A sufficient condition on Riesz basis with parentheses of non-self-adjoint operator and application to a serially connected string system under joint feedbacks”, SIAM J. Control Optim., 43:4 (2004), 1234–1252 (electronic)  crossref  mathscinet  zmath  isi  scopus
  28. Guo Bao-Zhu, Xu Gen-Qi, “Riesz bases and exact controllability of $C_0$-groups with one-dimensional input operators”, Systems Control Lett., 52:3-4 (2004), 221–232  crossref  mathscinet  zmath  isi  scopus
  29. Krabs W., Sklyar G. M., Wozniak J., “On the set of reachable states in the problem of controllability of rotating Timoshenko beams”, Z. Anal. Anwendungen, 22:1 (2003), 215–228  crossref  mathscinet  zmath  isi  scopus
  30. V. V. Vlasov, S. A. Ivanov, “Sobolev space estimates for solutions of equations with retardation, and a basis built from divided differences”, St. Petersburg Math. J., 15:4 (2004), 545–561  mathnet  crossref  mathscinet  zmath
  31. Guo B.Z., Xie Y., “Riesz basis generation of a serially connected string system under joint damping feedbacks”, 42nd IEEE Conference on Decision and Control, Vols 1–6, Proceedings, 2003, 827–832  isi
  32. V. V. Vlasov, S. A. Ivanov, “Estimates of Solutions to Equations with Aftereffect in Sobolev Spaces and the Basis of Divided Differences”, Math. Notes, 72:2 (2002), 271–274  mathnet  crossref  crossref  mathscinet  zmath  isi


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