Xiao Yi Li

Control design based on state observer for nonlinear delay systems

This paper is concerned with the problem of feedback control based on state observer for a class of nonlinear delay systems. The purpose was to design a state observer and dynamic output feedback controller such that the closed-loop system is asymptotically stable. A linear matrix inequality (LMI) approach is developed to solve this problem. Finally, a numerical example is presented to illustrate the results given in this paper and simulation shows that the method is very effective.

A method of constructing Kirkman triple system of higher order

A method of construction Kirkman triple system of higher order is proposed. A foundamental theory of constructing Kirkman triple system of order r×t is described.The entire procedure of construction Kirkman triple system of order 225 is presented.

A new method of constructing Steiner triple systems

A new method of constructing Steiner triple systems has been proposed. The basic theory that contain definition, lemmas of decomposable of some complete graphs has been described. A theorem concerning construction of Steiner triple systems has been proved. The entire procedure of constructing Steiner triple systems of order 91 has been presented.

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.

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.

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.

Methods of Constructing and Enumerating the Steiner Triple System with Order 31

This paper describes the basic concept of constructing Steiner triple system of order and gives the definition edge matrix of a complete graph. It proposes a method of constructing Steiner triple system of order. The entire procedure of constructing Steiner triple system of order .It discusses the enumeration problem of Steiner triple system.

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 .