Publication Cover
Applicable Analysis
An International Journal
Volume 42, 1991 - Issue 1-4
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Original Articles

Exponential stabilization of hyperbolic systems with nonlinear, unbounded perturbations—riccati operator approach

Pages 243-261 | Received 12 Feb 1990, Published online: 10 May 2007

References

  • Lasiecka , I. and Triggiani , R. 1985 . Finite rank, relatively bounded perturbations of Co- semigroups. Part I: well posedness and boundary feedback hyperbolic dynam¬ ics . Annali Scuola Normale di Pisa , 12
  • Triggiani , R. 1984 . Ae - bounded, finite rank perturbations of s.c. group generators: counterexamples to generation and to another condition for well-posedness Lectures Notes in Mathematics , Springer-Verlag .
  • Balakrishnan , A.V. 1981 . Applied Functional Analysis , Springer-Verlag .
  • Flandoli , F. , Lasiecka , I. and Triggiani , R. 1988 . Algebraic Riccati equations with non-smoothing observation arising in hyperbolic and Euler-Bernoulli equations . Ann. Matem. Pura e AppL , CLiii : 307 – 382 .
  • Lasiecka , I. 1988 . Boundary stabilization of hyperbolic and parabolic equations with nonlinearly perturbed boundary conditions . J. Diff. Eq , 75 : 53 – 871 .
  • Flandoli , F. 1984 . Riccati Equations Arising in a Boundary Control Problem with Distributed Parameters . SIAM J. Contr. Opt. , 22 : 76 – 86 .
  • Kato , T. 1966 . Perturbation Theory for Linear Operators , Springer-Verlag .
  • Lagnese , I. and Lions , J.L. 1988 . Modelling Analysis and Control of Thin Plates Masson
  • Lasiecka , I. and Triggiani , R. 1989 . Regularity, exact controllability and uniform stabili¬zation of Kirchhoff plates via only the bending moment Proceedings of 28 IEEE - CDC Conference Tampa
  • Lasiecka , I. and Triggiani , R. Exact Controllability and Uniform Stabilization of Kirchhoff Plates with Boundary Control Only on Awl and homogeneous boundary displacement . Journal Differential Equations ,
  • Lasiecka , I. and Triggiani , R. 1990 . Algebraic Riccati Equations in boundary/point control. A review of theoretical and numerical results Perspectives in Control Theory 175 – 235 . Birkhauser

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