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Existence of continua of cycles in Hamiltonian control systems. (English. Russian original) Zbl 1092.93543
Autom. Remote Control 62, No. 2, 227-235 (2001); translation from Avtom. Telemekh. 2001, No. 2, 65-74 (2001).
Summary: Simple conditions for the existence of global continua of cycles in autonomous Hamiltonian single-loop control systems are derived from ordinary linear two-sided nonlinearity estimates. Limiting bounds of sector estimates are determined by the properties of the linear part. The designed methods are useful in determining two-sided estimates for the period of a cycle in a sector.

MSC:
93C10 Nonlinear systems in control theory
34H05 Control problems involving ordinary differential equations
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