Research On The Reachable Set Boundary Of Semi-markovian Jump System

The boundary estimation of reachable set is an important property of semiMarkovian jump systems.In this paper,we study the boundary problem of reachable sets for semi-Markovian jump systems.By constructing Lyapunov function and using linear matrix inequality,we can obtain that some conditions of reachable set.It mainly includes the following contents:1.Study the reachable set boundary estimation problem for neutral semi-markovian jump systems with bounded perturbations.By constructing a new Lyapunov function,combining the idea of inequality technique and the free weights matrix.Eventually,we got the boundary conditions of the reachable sets of the corresponding systems.Finally,serval examples are given to verify the validity of the results.2.The reachable set boundary estimation problem for neutral semi-Markovian jump systems with bounded disturbance and distributed delay is studied.By constructing a new Lyapunov function,the boundary conditions of the reachable set of the corresponding system are obtained,by making using of the idea of inequality technique and free weight matrix.Finally,serval examples are given to demonstrate the effectiveness of the results.3.The boundary estimation of reachable sets for singular semi-Markovian jump systems is studied.A boundary condition of reachable set with less conservative is obtained,by introducing several uncertain parameter functions,and by the means of the inequality technique and free weight matrix.Finally,serval examples are given to prove the effectiveness of the results.