Galerkin approximations of infinite-dimensional compensators for flexible structures with unbounded control action

Acta Applicandae Mathematicae

Volumn 28, Issue 2, 1992, Pages 101-133

  Lasiecka, Irena ^a  

^a UNIVERSITY OF VIRGINIA   (United States)

Author keywords

AMS subject classifications (1991): 35 XX, 93 XX, 65 XX; boundary controls; boundary observations; compensators; estimators; Galerkin approximations; infinite dimensional and partially observed control systems; partially differential equations; unbounded control actions

Indexed keywords

EID: 0344868438     PISSN: 01678019     EISSN: 15729036     Source Type: Journal    
DOI: 10.1007/BF00047552     Document Type: Article

References (19)

1. Finite dimensional compensators for parabolic distributed systems with unbounded control and observation
2. A direct study of Riccati equations arising in hyperbolic boundary control problems
3. Extending a theorem of Liapunov to Hilbert spaces
4. Desch, W., Lasiecka, I., and Schapacher, W.: Feedback boundary control problems for linear semigroups, Israel J. Math.51(3) (1985).
5. Algebraic Riccati equations with nonsmoothing observation arising in hyperbolic and Euler-Bernoulli boundary control problems
6. An analysis of optimal model regulation: Convergence and stability
7. Approximation theory for linear quadratic Gaussian control of flexible structures
8. The Riccati integral equations for optimal control problems in Hilbert spaces
9. L2On the stability of strongly continuous semigroups of positive operators on L2(μ)
10. Finite dimensional compensators for infinite dimensional systems via Galerkin-type approximations
11. Approximations of solutions to infinite-dimensional Algebraic Riccati equations with unbounded input operators
12. Stabilization of hyperbolic and parabolic systems with nonlinearly perturbed boundary conditions
13. A direct approach to compensator design for distributed parameter systems