Optimal periodic control: a scenario for local properness

Autor:	Fritz Colonius
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	Hopf bifurcation Control and Optimization Liénard equation Applied Mathematics Mathematical analysis Optimal control symbols.namesake Systems theory Optimal trajectory symbols ddc:510 Control (linguistics) Constant (mathematics) Eigenvalues and eigenvectors Mathematics
Popis:	A fundamental problem in optimal periodic control is to decide whether proper periodic controls and trajectories yield better average performance than constant steady-state solutions. The present paper describes a situation where this holds true, because “nearby” the linearized system equation has a pair of eigenvalues on the imaginary axis. An example involving a retarded Lieneard equation is discussed in detail.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3e93f0eeb14037ff88a3f26e5ed51e51 https://opus.bibliothek.uni-augsburg.de/opus4/files/71343/71343.pdf Zobrazit plný text záznamu