The Study On The Stability Of Variable Dual Switching Discretetime Linear System  Posted on:20210309  Degree:Master  Type:Thesis  Country:China  Candidate:C Liu  Full Text:PDF  GTID:2428330611950442  Subject:Information and Communication Engineering  Abstract/Summary:  PDF Full Text Request  In this paper,the variable dual switching discretetime system with both deterministic and stochastic switching signals and the interaction between the two kinds of switching signals is taken as the research object.The exponentially almost sure stability of the system is analyzed by using the stochastic multilyapunov function and the energy attenuation principle under the condition that the deterministic switching signal satisfies the constraint of persistent dwell time and average dwell time respectively.This topic is a powerful expansion of the research of dual switching system at home and abroad,which has important theoretical significance and practical application value.The main innovative works of this paper are as follows:(1)This paper deals with a variable dual switching system with both deterministic and stochastic switching coexisting and interacting.By using the stochastic multilyapunov function and the energy attenuation principle,under the condition that the deterministic switching signal satisfies the constraint of average dwell time,a sufficient condition is given for the exponentially almost sure stability of the variable dual switching discretetime linear system.Then,based on the results of variable dual switching discretetime linear system,we extend the research scope to the nonlinear case and obtain a sufficient condition for the exponentially almost sure stability of variable dual switching discretetime nonlinear system by using the same method.(2)By using the stochastic multilyapunov function、the transient characteristics of stochastic Markov chain and the energy attenuation principle,under the condition that the deterministic switching signal satisfies the constraint of persistent dwell time investigated the exponentially almost sure stability of variable dual switching discretetime linear system with exponential uncertainty.Finally,a sufficient condition for the exponentially almost sure stability of the variable dual switching discretetime linear system is given in the form of linear matrix inequality.  Keywords/Search Tags:  variable dual switching systems, average dwell time, stochastic multilyapunov function, persistent dwell time, exponential uncertainty, exponentially almost sure stability  PDF Full Text Request  Related items 
 
