Zhao Di Xu

H-Infinite Output Tracking Control for Neutral Systems with Time-Varying Delay and Nonlinear Perturbations: A Less Conservative Result

The problem of H-Infinite output tracking control for liner neutral systems with time-varying and nonlinear perturbations is investigated. The purpose of this paper is to ontain a delay-dependent sufficient condition to guarantee H-Infinite output tracking performance and a less conservative result. A liner matrix inequality (LMI) approach is adopted to solve the problem.

New Criterion for Stability of Linear Systems with Interval Time-Varying Delay

This paper is concerned with the delay-dependent stability for linear systems. Through constructing a new augmented LKF and using a new integral inequality, the improved delay-dependent stability criteria are derived in terms of linear matrix inequalities, and it is established that the results have less conservativ`e than some existing stability conditions. Finally, numerical examples are given to illustrate the effectiveness of the proposed result.

Construction and Enumenation of Multiple-Element Systems of Order v

This paper gives a constructed the multiple-element systems of order v the definitions about both derived design andcomplemented design. It proposes an algorithm of constructing bothderived design andcomplement design. It presents the entire procedure of constructing design and design, and discusses the enumeration problem of both derived design and complemented design.

The Improved Method of Delay-Dependent Stability Criterion for Uncertain Systems with Multiple Time-Varying Delays

This paper discusses problems of linear uncertain system with multiple time-varying delays. Through the application of a novel design by own lemma and augmented Lyapunov function, a less conservative results than the existing essay that have been obtained. The new criterion enlarges the existing maximum bound of the time delay. Numerical examples were given to demonstrate the effective of the result.

Construction and Enumeration of Steiner Triple Systems with Order V

This paper describes the basic concept of constructing the large sets of Steiner triple systems of order v. It proposes a method of constructing the large sets of Steiner triple systems by using permutation of original matrix, and it presents entire procedure of constructing the large sets of Steiner triple systems of order 7. It verified the number of disjoint Steiner triple systems.

A Method of Constructing Steiner Triple System of Order 2t+1

The basic concept of constructing the Steiner triple systems of order is described. The detinition of edges matrix of the complete graph is given. A method of constructing Steiner triple system of order is proposed. The errtire procedure of constructing Steiner triple systems of orderand is presented respectively, The enumeration problem of Steiner triple systems of order is discussed [1-1.

The Construction of Disjoint Multiple-Element Systems with v Order

Clarify the properties of derived design and complement design. The properties of Abstract: The definitions of derived design and complementary design are given. The method of constructing disjoint (13,4,1) design is proposed. The entire procedure of constructing (14,3,1) design ,(26,13,8,4,2) design and (13,9,6) design is also presented completely. 15 disjoint (13,4,1) design , 15 disjoint (13,9,6) design and 7 disjoint (26,13,8,4,2) design are obtained. The number of disjoint (13, 4, 1) design is proved.

Methods of Constructing and Enumerating the Spanning Tree of a Connected Graph

A definition concerning the spanning sub graph and spanning sub graph circle is given. Use the enumerating methods of spanning sub circle; seek out the spanning sub graph of spanning trees. The theorems of constructing and enumerating the spanning trees are proved. The methods of enumerating and constructing connected graph spanning tree are proposed. The application examples of construction theorem and enumerating theorem are given. the spanning sub graphs number of five plane graph and the construction of Constituent sub-graph are introduced, thus verifying constructing and enumerating theorem are useful and effective. This method Is a Simple and easy method to construct the spanning tree of connected graph.

A Construction Method of Large V Order Steiner Four Elements Large Set

This paper proposed the basic idea of constructing method of large v order Steiner four elements large set under the blow of steiner three elements. At the same, this paper analyzed the conditions for the existence of v order Steiner four elements. This paper also proposed the construction method of v order Steiner four elements large set based on the initial block matrix permutation. This paper also introduced the entire construction process of 9 order Steiner four elements systems large set. This paper proved the number of 9 order Steiner four elements s(1)(9)of 9 order Steiner four elements large set is d(9)=v-8=1 .

A New Approach on Stability for Linear Systems with Interval Time-Varying Delay

This paper addresses the problem of stability for linear systems with interval time-varying delay. By using an optimized delay-decomposition approach and being based on Lyapunov stability theory and reciprocally convex lemma, we can get the delay-dependent stability criterion which can lead to much less conservative stability results compared to other methods for linear systems with time delay. A numerical example is given to show the effectiveness of the proposed criteria.