Necessary conditions for partial controllability of a rigid body - gyrodyne system
- Institute of Applied Mathematics and Mechanics, Donetsk (Ukraine)
Controllability with respect to certain variables. We will examine dynamic systems that can be described by ordinary differential equations. Where x {element_of} D {improper_subset} R{sup n} is the phase vector; u {element_of} U {improper_subset} R{sup m} is the control vector. The latter is a bounded measureable function of time t, t {element_of} T = [0, {infinity}]. We assume that the regions D and U are convex and contain the coordinate origin. We also assume the function f to be a function of its arguments that is continuously differentiable a sufficient number of times. We divide the phase vector into two subvectors x{sup T} = (x{sub {alpha}}{sup T}, x{sub {beta}}{sup T}) (x{sub {alpha}} {element_of} D{sub {alpha}} {improper_subset} R{sup {alpha}}, x{sub {beta}} {element_of} D {improper_subset} R{sup {beta}}) and we introduce the following definition for system (1.1).
- OSTI ID:
- 186153
- Journal Information:
- International Applied Mechanics, Journal Name: International Applied Mechanics Journal Issue: 11 Vol. 30; ISSN IAMEEU; ISSN 1063-7095
- Country of Publication:
- United States
- Language:
- English
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