H-2 Performance Analysis and Applications of 2-D Hidden Bernoulli Jump System Academic Article uri icon

abstract

  • IEEE The asymptotic mean square stability and H₂ performance of the 2-D hidden Bernoulli jump system is analyzed in this paper. This system, essentially, has a bi-jumping property, in other words, its jumps depend on two jumping parameters, one is the Bernoulli process, the other is dependent on the Bernoulli process via a conditional probability matrix, they together determine which subsystem is active and are coined as hidden Bernoulli model. By means of Lyapunov function method, a sufficient condition is derived, which reveals that the system is asymptotically mean square stable and has a certain H₂ performance if a set of matrix inequalities are satisfied. Furthermore, the issues of asynchronous control and filtering are addressed for 2-D Bernoulli jump system based on the hidden Bernoulli model and the derived result. Finally, numerical simulations indicate that these proposed theories and methods are reliable and efficient.

published proceedings

  • IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS

author list (cited authors)

  • Wu, Z., Shen, Y., Su, H., Lu, R., & Huang, T.

citation count

  • 19

complete list of authors

  • Wu, Zheng-Guang||Shen, Ying||Su, Hongye||Lu, Renquan||Huang, Tingwen

publication date

  • September 2019