Stability And Control Of Several Kinds Of It(?) Stochastic Systems

In recent decades,with people's in-depth research in the fields of economics,ecology,communication,computing,control,etc.,it has been discovered that many problems can be modeled as stochastic models.And in the research process,it is found that if the state of the system model is not only related to the current moment but also related to a period of time in the past,stochastic time-delay models can be established.At the same time,when the future state of the system not only depends on the current state of the system but also involves the rate of change of the derivative of time delay,the stochastic neutral delay differential equation model comes into being.As the stochastic time-delay model is difficult to solve its analytical solution,many scholars have carried out qualitative analysis and numerical method research.Among them,the research of mean square exponential stability is an important research content of numerical algorithms.However,the related work on neutral stochastic delay integro-differential equations is rare.In addition,in this dissertation,we apply the research of stochastic time delay system to the problem of elastic control of stochastic system sampling under network attacks,mainly considering two important types of malicious network attacks,namely denial of service attacks and deception attacks.In summary,the main research content of this dissertation can be summarized as follows:1.Study the mean square exponential stability of a neutral class of stochastic delay integro-differential systems.The stability of this kind of special differential system is not considered in the previous literature.In terms of numerical algorithms,We constructed two kinds of special ?-methods,stochastic linear ? method and stochastic Split-step ?method.Under weaker conditions(unilateral growth conditions),we studied the stability of this kind of systems and obtain the expected result.2.The stability of p-th moment polynomial stability of the neutral stochastic pantograph differential time delay system with Lévy noise is studied.Extending the stability results of our previous research,using Lyapunov's stability theory,stochastic analysis methods and inequality techniques,through explicit drift dynamics f,diffusion dynamics g and h,the polynomial stability theorem and visualization criteria are established.3.The stability of time-varying linear stochastic Markovian switched systems is studied.By using the exponential martingale inequality and the Borel-Cantelli lemma,the almost surely exponential stability of the system is studied.Compared with the previous literature,the main results highlight the effects of time-varying parameters and Markov jumps.4.Study the problem of sampled-data resilient control of stochastic systems under denial of service attacks.Under the sampled data control strategy,the DoS attacks in stochastic systems are described and considered.Secondly,according to the influence of DoS attacks,a new switched stochastic nonlinear closed-loop system is established by using the time-delay transformation method.Then,by using the piecewise Lyapunov functional method,the sufficient conditions to ensure the mean square exponential stability of the closed-loop system is given.5.Study the problem of sampled-data resilient control for hybrid nonlinear stochastic systems under periodic denial of service(P-DoS)attacks is studied.Firstly,considering that the system is attacked by P-DoS,the Zero-order Holder(ZOH)technology is used to analyze the impact of this kind of attack on the control input;Secondly,by using the time-delay transformation method,the attacked sampled data resilient control system is modeled as a switched stochastic time-delay closed-loop system.Thirdly,by using the piecewise Lyapunov functional method,the sufficient conditions to guarantee the mean square exponential stability of the attacked system are given;Then,when the specific Lyapunov functional and controller design are given,the controller parameters are solved according to these sufficient conditions.6.Study the sampled-data resilient H? control problem for networked stochastic systems with multiple attacks.Multiple attacks consisting of denial-of-service(DoS)attacks and random deception attacks are first described.Then on the basis of the consideration of these attacks,a new switched stochastic time-delay closed-loop system is proposed under sampled-data and full state feedback controller.By utilizing piecewise LyapunovKrasovskii functional analysis theory,some new criterions are derived to guarantee the mean-square asymptotical stability with an H? performance of the resulting closed-loop system.