Tertychnyĭ-Dauri, V. Yu. Optimal stabilization of adaptive dynamical systems with distributed parameters. I. (English. Russian original) Zbl 0995.93066 Differ. Equ. 37, No. 8, 1148-1159 (2001); translation from Differ. Uravn. 37, No. 8, 1096-1107 (2001). The author solves some problems of adaptive optimal and stabilizing controls for systems described by vector PDE’s of parabolic type using a unique approach based on the dynamic programming method. Performance functionals are assumed to be quadratic ones. As an example the author considers a problem of adaptive control modelling of the process of heat conduction in \(\mathbb{R}^1\) with the Dirichlet boundary condition. Reviewer: Wiesław Kotarski (Sosnowiec) Cited in 1 Review MSC: 93D21 Adaptive or robust stabilization 93C20 Control/observation systems governed by partial differential equations 35K05 Heat equation 49L20 Dynamic programming in optimal control and differential games Keywords:heat conduction; adaptive stabilization; distributed parameter systems; dynamic programming PDFBibTeX XMLCite \textit{V. Yu. Tertychnyĭ-Dauri}, Differ. Equ. 37, No. 8, 1148--1159 (2001; Zbl 0995.93066); translation from Differ. Uravn. 37, No. 8, 1096--1107 (2001) Full Text: DOI