On the Continuity Properties of the Attainable Sets of Nonlinear Control Systems with Integral Constraint on Controls | Zendy

Khalik G. Guseinov | Zendy; Ali S. Nazlipinar | Zendy

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On the Continuity Properties of the Attainable Sets of Nonlinear Control Systems with Integral Constraint on Controls

Author(s) -

Khalik G. Guseinov,

Ali S. Nazlipinar

Publication year - 2008

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2008/295817

Subject(s) - mathematics , nonlinear system , constraint (computer aided design) , ball (mathematics) , control theory (sociology) , state vector , mathematical analysis , set (abstract data type) , differential equation , radius , control (management) , computer science , geometry , physics , computer security , classical mechanics , quantum mechanics , artificial intelligence , programming language

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 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];ℝm) (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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