<abstract xmlns="http://www.w3.org/1999/xhtml"><p> The paper deals with the time switching hybrid systems described by nonlinear control equations with nonlinearity of a sector form. The estimation of the solution of the control system at any moment is established through the method of Lyapunov function. Both cases, stable and unstable control systems are considered. The final estimation of the solution of the hybrid system is obtained from the composition of perturbations of the separate control systems using the condition of solution continuity in the points of switching.</p></abstract>

The paper deals with the time switching hybrid systems described by nonlinear control equations with nonlinearity of a sector form. The estimation of the solution of the control system at any moment is established through the method of Lyapunov function. Both cases, stable and unstable control systems are considered. The final estimation of the solution of the hybrid system is obtained from the composition of perturbations of the separate control systems using the condition of solution continuity in the points of switching.

The estimation of the dynamics of indirect control switching systems

The University of ˇZilina Department of Mathematics Univerzitn´a 8215/1 SK–010-26 ˇZilina SLOVAKIA

Volyn National Lesya Ukrainka University Voly 13 UA–43-000 Lutsk UKRAINE

Kyiv National Taras Shevchenko University Vladimirskaya 64 UA–01-033 Kyiv UKRAINE

Tatra Mountains Mathematical Publications

{"article-title":"The estimation of the dynamics of indirect control switching systems"}

The paper deals with the time switching hybrid systems described by nonlinear control equations with nonlinearity of a sector form. The estimation of the...

The estimation of the dynamics of indirect control switching systems

Published Online: Nov 13, 2012

Page range: 197 - 213

DOI: https://doi.org/10.2478/v10127-011-0018-0

Keywords
. nonlinear differential equation, estimation of solution, hybrid system.

This content is open access.

The estimation of the dynamics of indirect control switching systems

Published Online: Nov 13, 2012

Page range: 197 - 213

DOI: https://doi.org/10.2478/v10127-011-0018-0

Keywords. nonlinear differential equation, estimation of solution, hybrid system.

This content is open access.

Keywords
. nonlinear differential equation, estimation of solution, hybrid system.