Classical Solutions of Nonautonomous Riccati Equations Arising in Parabolic Boundary Control Problems

P. Acquistapace

doi:10.1007/s002459900111

Classical Solutions of Nonautonomous Riccati Equations Arising in Parabolic Boundary Control Problems

Applied Mathematics & Optimization ◽

10.1007/s002459900111 ◽

1999 ◽

Vol 39 (3) ◽

pp. 361-409 ◽

Cited By ~ 17

Author(s):

P. Acquistapace

Keyword(s):

Boundary Control ◽

Riccati Equations ◽

Classical Solutions ◽

Control Problems ◽

Parabolic Boundary ◽

Boundary Control Problems

Download Full-text

Classical Solutions of Nonautonomous Riccati Equations Arising in Parabolic Boundary Control Problems, II

Applied Mathematics & Optimization ◽

10.1007/s002459911011 ◽

2000 ◽

Vol 41 (2) ◽

pp. 199-226 ◽

Cited By ~ 8

Author(s):

P. Acquistapace ◽

B. Terreni

Keyword(s):

Boundary Control ◽

Riccati Equations ◽

Classical Solutions ◽

Control Problems ◽

Parabolic Boundary ◽

Boundary Control Problems

Download Full-text

Numerical Approximations of Solutions to Riccati Equations Arising in Boundary Control Problems for the Wave Equation

Optimal control of differential equations ◽

10.1201/9781003072225-9 ◽

2020 ◽

pp. 111-132

Author(s):

Erik Hendrickson ◽

Irena Lasiecka

Keyword(s):

Wave Equation ◽

Boundary Control ◽

Riccati Equations ◽

Control Problems ◽

Numerical Approximations ◽

Boundary Control Problems

Download Full-text

Approximations of Riccati equations corresponding to hyperbolic boundary control problems

Lecture Notes in Control and Information Sciences - Distributed Parameter Systems ◽

10.1007/bfb0005655 ◽

2005 ◽

pp. 228-244

Author(s):

I. Lasiecka

Keyword(s):

Boundary Control ◽

Riccati Equations ◽

Control Problems ◽

Boundary Control Problems ◽

Hyperbolic Boundary

Download Full-text

Numerical solution of some parabolic boundary control problems by finite elements

Control Problems for Systems Described by Partial Differential Equations and Applications - Lecture Notes in Control and Information Sciences ◽

10.1007/bfb0038765 ◽

2006 ◽

pp. 325-335 ◽

Cited By ~ 5

Author(s):

U. Mackenroth

Keyword(s):

Finite Elements ◽

Numerical Solution ◽

Boundary Control ◽

Control Problems ◽

Parabolic Boundary ◽

Boundary Control Problems

Download Full-text

Convergence of Finite Element Approximations to State Constrained Convex Parabolic Boundary Control Problems

SIAM Journal on Control and Optimization ◽

10.1137/0327038 ◽

1989 ◽

Vol 27 (4) ◽

pp. 718-736 ◽

Cited By ~ 52

Author(s):

Walter Alt ◽

Uwe Mackenroth

Keyword(s):

Finite Element ◽

Boundary Control ◽

Control Problems ◽

Parabolic Boundary ◽

Finite Element Approximations ◽

Boundary Control Problems

Download Full-text

On some parabolic boundary control problems with constraints on the control and functional-constraints on the state

Zeitschrift für Analysis und ihre Anwendungen ◽

10.4171/zaa/23 ◽

1982 ◽

Vol 1 (4) ◽

pp. 1-13 ◽

Cited By ~ 5

Author(s):

Fredi Tröltzsch

Keyword(s):

Boundary Control ◽

The State ◽

Control Problems ◽

Functional Constraints ◽

Parabolic Boundary ◽

Boundary Control Problems

Download Full-text

Approximating parabolic boundary control problems with delayed actuator dynamics

2013 American Control Conference ◽

10.1109/acc.2013.6580142 ◽

2013 ◽

Cited By ~ 6

Author(s):

John A. Burns ◽

Terry L. Herdman ◽

Lizette Zietsman

Keyword(s):

Boundary Control ◽

Control Problems ◽

Parabolic Boundary ◽

Actuator Dynamics ◽

Boundary Control Problems

Download Full-text

Weak duality for parabolic boundary control problems

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(82)90068-3 ◽

1982 ◽

Vol 90 (2) ◽

pp. 393-407

Author(s):

Uwe Mackenroth

Keyword(s):

Boundary Control ◽

Control Problems ◽

Weak Duality ◽

Parabolic Boundary ◽

Boundary Control Problems

Download Full-text

Semidiscrete Ritz-Galerkin approximation of nonlinear parabolic boundary control problems?Strong convergence of optimal controls

Applied Mathematics & Optimization ◽

10.1007/bf01189480 ◽

1994 ◽

Vol 29 (3) ◽

pp. 309-329 ◽

Cited By ~ 35

Author(s):

Fredi Tr�ltzsch

Keyword(s):

Strong Convergence ◽

Boundary Control ◽

Galerkin Approximation ◽

Control Problems ◽

Optimal Controls ◽

Parabolic Boundary ◽

Nonlinear Parabolic ◽

Boundary Control Problems

Download Full-text

Min-Max Game Theory and Algebraic Riccati Equations for Boundary Control Problems with Analytic Semigroups. Part II: The General Case

Boundary Control and Variation ◽

10.1201/9781482277685-21 ◽

1994 ◽

pp. 311-348

Keyword(s):

Game Theory ◽

Boundary Control ◽

Riccati Equations ◽

Analytic Semigroups ◽

Control Problems ◽

Algebraic Riccati Equations ◽

Boundary Control Problems

Download Full-text