Computation of lower bounds for the optimal quadratic cost of linear switched systems

Autor:	W. Spinelli, Patrizio Colaneri, Paolo Bolzern
Jazyk:	angličtina
Rok vydání:	2006
Předmět:	Mathematical optimization Basis (linear algebra) Conic section Linear system MathematicsofComputing_NUMERICALANALYSIS Applied mathematics Admissible set Quadratic function Optimal control Upper and lower bounds Domain (mathematical analysis) Mathematics
Popis:	This paper deals with the problem of finding a lower bound for the optimal value of a quadratic cost functional for a continuous-time autonomous linear switched system. This bound is computed on the basis of a set of matrices that satisfies some mild assumptions. An admissible set can be derived directly from the piecewise quadratic Lyapunov function used to construct a stabilizing conic switching law, for which both a lower and an upper bound can be obtained. The same results are then extended to the discrete-time domain.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bab32bc9fcd5c521d14b06a3bcf5068f http://hdl.handle.net/11311/255619 Zobrazit plný text záznamu