scholarly journals A parallel algorithm for constructing approximate attainable sets of nonlinear control systems

2015 ◽  
Vol 25 (4) ◽  
pp. 459-472 ◽  
Author(s):  
A.A. Zimovets ◽  
◽  
A.R. Matviichuk ◽  
Keyword(s):  
Nonlinear Control ◽  
Control Systems ◽  
Parallel Algorithm ◽  
Nonlinear Control Systems ◽  
Attainable Sets

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

2008 ◽  
Vol 2008 ◽  
pp. 1-14 ◽  
Author(s):  
Khalik G. Guseinov ◽  
Ali S. Nazlipinar
Keyword(s):  
Control System ◽  
Nonlinear Control ◽  
Control Systems ◽  
Initial Conditions ◽  
Closed Ball ◽  
Nonlinear Control Systems ◽  
Integral Constraint ◽  
Attainable Sets ◽  
Control Functions ◽  
Continuity Properties

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 radiusμ0inLp([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.

Nonlinear Control Systems

2004 ◽  
Author(s):  
Christopher I. Byrnes ◽  
Alberto Isidori
Keyword(s):  
Nonlinear Control ◽  
Control Systems ◽  
Nonlinear Control Systems
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