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 initial characteristics of fuel components droplet cloud derived from in-flight explosion of carrier rocket

The methodical approach to the determination of the initial kinematics and geometrical characteristics of the fuel components droplet cloud derived from the liquid-propellant carrier rocket (CR) explosion at the atmos-ph...

Estimated stability of magnetically levitated motion of transportation superconducting-magnet system vehicle along a plane track structure

A magnetically levitated motion of the vehicle of an electrodynamic system with a plane track structure can be realized in the systems with two or four lines of the track contours as illustrated by studies. Based on the...

Development of firearm silencers with spherical baffles

The aim of this work is to develop promising multi-chamber firearm silencers with spherical baffles. To achieve this objective, the advisability of using spherical baffles in the powder gas energy absorber has been sub-s...

. Determination of optimal position of ion-beam shepherd with respect to space debris object

The work aim of the work is to solve the problem of finding an optimal position of a shepherd with respect to a target in terms of forces transmitted by the ion beam. The minimized efficiency function is derived taking i...

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...

Download PDF file
  • EP ID EP359159
  • DOI -
  • Views 82
  • 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