H₂ Performance Analysis and Applications of 2-D Hidden Bernoulli Jump System Academic Article

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.

authors

• Huang, Tingwen

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

• 24

complete list of authors

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

publication date

• October 2019

publisher

• Institute of Electrical and Electronics Engineers (IEEE)  Publisher

published in

• IEEE Transactions on Systems, Man, and Cybernetics: Systems  Journal

keywords

• 2-d System
• Asynchronization
• H-2 Control
• H-2 Filtering
• Hidden Bernoulli Jump System

Digital Object Identifier (DOI)

• 10.1109/TSMC.2017.2745679

start page

• 2097

end page

• 2107

volume

• 49

issue

• 10

URL

• http://dx.doi.org/10.1109/tsmc.2017.2745679