This paper considers the robust stabilization problem of a class of nonlinear measure differential systems with delay.To eliminate the effect of nonlinear uncertainties on the stability of a closed loop system, a nonl...This paper considers the robust stabilization problem of a class of nonlinear measure differential systems with delay.To eliminate the effect of nonlinear uncertainties on the stability of a closed loop system, a nonlinear controller is employed.In addition, to get the stability result of closed loop dynamics, two novel lemmas are proposed.In our approach, we do not require the assumption that the time varying delay variable γ(t) be restricted by (t)【1 , which is often required in many previous papers (e.g,see).展开更多
In this paper, we propose a robust control based on the observer for a class of measure differential systems with time delay. To implement the control, we only need the output signal of the systems. In the finial sect...In this paper, we propose a robust control based on the observer for a class of measure differential systems with time delay. To implement the control, we only need the output signal of the systems. In the finial section, a numerical example is given to illustrate the effectiveness of the proposed scheme.展开更多
This work concerns the stability properties of impulsive solution for a class of variable delay and time-varying measure differential systems. By means of the techniques of constructing broken line function to overcom...This work concerns the stability properties of impulsive solution for a class of variable delay and time-varying measure differential systems. By means of the techniques of constructing broken line function to overcome the difficulties in employing comparison principle and Lyapunov function with discontinuous derivative, some criteria of global exponential asymptotic stability for the system are established. An example is given to illustrate the applicability of results obtained.展开更多
This paper is devoted to the investigation of Lyapunov's second method for the stability of measure differential large scale systems containing impulses. The vector comparison principle of the stability of measur...This paper is devoted to the investigation of Lyapunov's second method for the stability of measure differential large scale systems containing impulses. The vector comparison principle of the stability of measure differential large scale systems is first established. An application of the vector comparison theorem is given to demonstrate the effectiveness of our result.展开更多
文摘This paper considers the robust stabilization problem of a class of nonlinear measure differential systems with delay.To eliminate the effect of nonlinear uncertainties on the stability of a closed loop system, a nonlinear controller is employed.In addition, to get the stability result of closed loop dynamics, two novel lemmas are proposed.In our approach, we do not require the assumption that the time varying delay variable γ(t) be restricted by (t)【1 , which is often required in many previous papers (e.g,see).
文摘In this paper, we propose a robust control based on the observer for a class of measure differential systems with time delay. To implement the control, we only need the output signal of the systems. In the finial section, a numerical example is given to illustrate the effectiveness of the proposed scheme.
文摘This work concerns the stability properties of impulsive solution for a class of variable delay and time-varying measure differential systems. By means of the techniques of constructing broken line function to overcome the difficulties in employing comparison principle and Lyapunov function with discontinuous derivative, some criteria of global exponential asymptotic stability for the system are established. An example is given to illustrate the applicability of results obtained.
文摘This paper is devoted to the investigation of Lyapunov's second method for the stability of measure differential large scale systems containing impulses. The vector comparison principle of the stability of measure differential large scale systems is first established. An application of the vector comparison theorem is given to demonstrate the effectiveness of our result.
