Nonlinear Systems with Impulsive and Generalized Function Controls

  • Andrej V. Sarychev
Part of the Progress in Systems and Control Theory book series (PSCT, volume 9)

Abstract

A smooth affine control system
$$\dot x = {f_T} + \sum\limits_{i = 1}^r {g_r^i} (x){u_{i,x}} \in {R^n},{u_i} \in R,$$
(1.1)
or
$$\dot x = {f_T}(x) + {G_T}(x)u,{G_T} = \parallel g_T^1 \ldots g_T^r\parallel ,X \in {R^n},u \in {R^{r,}}$$
(1.1′)
is considered and the question we are interested in is: how the generalized functions can be employed as controls in this system?

Keywords

Vector Field Generalize Control Generalize Derivative Impulsive Control Integral Manifold 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1991

Authors and Affiliations

  • Andrej V. Sarychev
    • 1
  1. 1.Institute of Control ProblemsMoscowUSSR

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