Optimal orbital regulation in dynamical systems subject to Hopf bifurcation

DOI10.1016/0022-0396(82)90013-4zbMath0531.49009OpenAlexW2025250315MaRDI QIDQ788262

David L. Russell

Publication date: 1982

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(82)90013-4

zbMATH Keywords

Hopf bifurcationperiodic optimal control problem

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear systems in control theory (93C10) Control problems involving ordinary differential equations (34H05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Existence theories for optimal control problems involving ordinary differential equations (49J15) Control/observation systems governed by ordinary differential equations (93C15) Optimality conditions for problems involving ordinary differential equations (49K15) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (2)

Optimal harvesting in predator-prey systems ⋮ Optimality for periodic control of functional differential systems

Cites Work

• On the theory and application of the Hopf-Friedrich Bifurcation theory
• Status of periodic optimization of dynamical systems
• Necessary conditions for optimality in a general class of non-linear mixed boundary value control problems†
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations
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