On the Continuity Properties of the Attainable Sets of Nonlinear Control Systems with Integral Constraint on Controls
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چکیده
The attainable sets of the nonlinear control systems with integral constraint on the control functions are considered. It is assumed that the behavior of control system is described by a differential equation which is nonlinear with respect to phase-state vector and control vector. The admissible control functions are chosen from the closed ball centered at the origin with radius μ0 in Lp t0, θ ;R p ∈ 1, ∞ . Precompactness of the solutions set is specified, and dependence of the attainable sets on the initial conditions and on the parameters of the control system is studied.
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تاریخ انتشار 2008