Frequency domain methods for proving the uniform stability of vibrating systems

[1]  Goong Chen,et al.  Exponential stability analysis of Xa long chain of coupled vibrating strings with dissipative linkage , 1989 .

[2]  Yutaka Yamamoto,et al.  Equivalence of internal and external stability for a class of distributed systems , 1991, Math. Control. Signals Syst..

[3]  George Weiss,et al.  The representation of regular linear systems on Hilbert spaces , 1989 .

[4]  Ruth F. Curtain,et al.  Well-Posedness, stabilizability, and admissibility for Pritchard-Salamon systems , 1992 .

[5]  George Weiss,et al.  Admissible observation operators for linear semigroups , 1989 .

[6]  Sung J. Lee.  Operator methods for optimal control problems , 1987 .

[7]  D. L. Russell,et al.  Admissible Input Elements for Systems in Hilbert Space and a Carleson Measure Criterion , 1983 .

[8]  Dietmar A. Salamon,et al.  On control and observation of neutral systems , 1982 .

[9]  Richard Rebarber.  Spectral assignability for distributed parameter systems with unbounded scalar control , 1989 .

[10]  Shinji Hara,et al.  Internal and external stability and robust stability condition for a class of infinite-dimensional systems , 1992, Autom..

[11]  A. Krall,et al.  Modeling stabilization and control of serially connected beams , 1987 .

[12]  George Weiss,et al.  Regular linear systems with feedback , 1994, Math. Control. Signals Syst..

[13]  Steven G. Krantz,et al.  The Euler-Bernoulli beam equation with boundary energy dissipation , 1988 .

[14]  R. Rebarber.  Conditions for the equivalence of internal and external stability for distributed parameter systems , 1993, IEEE Trans. Autom. Control..

[15]  Shinji Hara,et al.  Relationships between internal and external stability for infinite-dimensional systems with applications to a servo problem , 1987, 26th IEEE Conference on Decision and Control.

[16]  J. Prüss.  On the Spectrum of C 0 -Semigroups , 1984 .

[17]  Jan Prüss,et al.  On the spectrum of ₀-semigroups , 1984 .

[18]  Ruth F. Curtain.  Equivalence of input-output stability and exponential stability , 1989 .

[19]  George Weiss,et al.  Transfer Functions of Regular Linear Systems. Part I: Characterizations of Regularity , 1994 .

[20]  Semigroup generation and stabilization by A r -bounded feedback perturbations , 1990 .

[21]  Kangsheng Liu,et al.  Energy decay problems in the design of a point stabilizer for coupled string vibrating systems , 1988 .

[22]  C. Jacobson,et al.  Linear state-space systems in infinite-dimensional space: the role and characterization of joint stabilizability/detectability , 1988 .

[23]  H. Logemann.  On the transfer matrix of a neutral system: Characterizations of exponential stability in input-output terms , 1987 .

[24]  Steven G. Krantz,et al.  Analysis designs, and behavior of dissipative joints for coupled beams , 1989 .