Conditions of stability of switching systems

Abstract

Dynamic systems described by a combination of differential equations and a discrete switching signal are examined. The research objective is to find an upper estimate for the Lyapunov maximum exponent of the switched system and conditions for exponential stability. New conditions for exponential stability have been found using qualitative analytic methods of differential equations. The results can be employed to investigate the stability of the various systems of automatic control and other dynamic systems

Authors and Affiliations

S. Poslavsky

Keywords

Related Articles

Determination of locomotive derailment stability conditions in emergency collisions

This paper discusses the behavior of a locomotive in its collision with a movable obstacle on the railway track. Movable obstacles of different masses were considered: a freight train, a similar locomotive, and an empty...

Active flight control for launch vehicle; a new approach and rational ways for its realization

To provide a safe operation of a launch vehicle (LV) and to use effectively its onboard service life, the ra-tional ways for forming the algorithm for an active flight control are examined based on the LV status monitori...

Smelaya T.

Discretization of the computational domain has an important impact on the solution of problems on the rarified gas dynamics. An appropriate selection of the type of the grid used is the pressing problem for statistical m...

Development of model of plant for measuring dispersivity of material in energy-carrier flow based on regression analysis

Based on experimental investigations, the plant for measuring the material particle size in the flow has been created. The work objective is to develop a regression model for determining the material dispersivity in the...

Analytical solution of problem on fall of sphere the radius of which decreases from linear-fractional law

The paper deals with building a mathematical model of motion of the sphere with variable radius and mass. The analytical method for solving the Cauchy problem for a nonlinear equation of motion with variable coeffi-cien...

Download PDF file
  • EP ID EP359159
  • DOI -
  • Views 83
  • Downloads 0

How To Cite

S. Poslavsky (2014). Conditions of stability of switching systems. Технічна механіка, Техническая механика, Technical Mechanics, 3(3), 87-93. https://europub.co.uk./articles/-A-359159