A note on the stabilizability of stochastic heat equations with multiplicative noise

Comptes Rendus Mathematique - Tập 334 - Trang 311-316 - 2002
Viorel Barbu1, Catalin Lefter1, Gianmario Tessitore2
1Facultatea de matematică, Universitatea “Alexandru Ioan Cuza”, Iaşi, Romania
2Dipartimento di Matematica, Università di Milano, Via Saldini 50, 20133 Milano, Italy

Tài liệu tham khảo

V. Barbu, G. Tessitore, Considerations on the controllability of stochastic linear heat equations, in: G. Da Prato, L. Tubaro (Eds.), Stochastic Partial Differential Equations and Applications, Marcel Dekker, 2001 (to appear)

Goncharuk, 1998, Fractional-steps method for a class of SPDEs, Stochastic Process. Appl., 73, 1, 10.1016/S0304-4149(97)00079-3

Haussmann, 1971, Optimal stationary control with state and control dependent noise, SIAM J. Control Optim., 9, 184, 10.1137/0309016

Li, 1989, A note on the stability of stochastic systems with unbounded perturbations, Stochastic Anal. Appl., 7, 426, 10.1080/07362998908809192

E. Pardoux, Equations aux dérivées partielles stochastiques nonlinéaires monotones, étude de solutions fortes du type Itô, Thèse, Paris-Sud, Orsay, 1975

Willems, 1976, Feedback stabilizability for stochastic systems with state and control depending noise, Automatica, 12, 277, 10.1016/0005-1098(76)90029-7