Zheng Yufan

Nonlinear H ∞ filtering for interconnected Markovian jump systems

Abstract The problem of nonlinear H ∞ filtering for interconnected Markovian jump systems is discussed. The aim of this note is the design of a nonlinear Markovian jump filter such that the resulting error system is exponentially meansquare stable and ensures a prescribed H ∞ performance. A sufficient condition for the solvability of this problem is given in terms of linear matrix inequalities(LMIs). A simulation example is presented to demonstrate the effectiveness of the proposed design approach.

Absolute observabilities of nonlinear control systems and their normal forms

In this paper the concept of absolute observability of nonlinear control systems is advanced. Different from the linear time-invariant version, there are different definitions of absolute observability for nonlinear control systems. Two algorithms for maximal absolutely observable subsystems are given. Correspondingly, there are two relevant normal forms. The relations with the largest controlled invariant distribution contained inkerdh, zero dynamics etc., are discussed from the view point of maximal absolute observabilities.

Global Behavior of Dynamical Agents in Directed Network

This paper investigates the aggregation behavior of controlled dynamical agents in directed network. The agents are Lyapunov stable distributed in a line and communicate by directed network. The communication topology of network is characterized by a directed graph and the control protocol is designed in simple linear feedback law. We study the conditions under which agents will achieve aggregation behaviors, critical and divergent case . Numerical simulations are given and they demonstrate that our theoretical results are effective.