الفهرس 
Historical back groundOnly 14 pages are availabe for public view
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Abstract
Chapter 1: In the first part (see section (1,2)), we define the optimal control problem, Pontryagin minimum principal, linear optimal control problem, and types of control. In the second part (see section (1.3)), we introduce the definition and formulation of linear differential games, and we define and introduce the method of determining the Nash, the MinMax, and the Stackelberg equilibrium solution of continuous linear quadratic differential game and deduce the formula of Riccati differential equation in each case. In the third part (see section (1.4)), we introduce some methods for solution of symmetric Riccati differential equations, and introduce some methods for solution of algebraic Riccati equations, and Lyapunov and Sylvester equations. Chapter 2: In the first part (see section (2.1)), we introduce the basic theorem of this chapter and deduce the sufficient conditions in oneplayer games. In the second part (see section (2.2)), we deduce the sufficient conditions in twoplayer games for Nash equilibrium solution and for Stackelberg equilibrium solution. In the third part (see section (2.3)), we deduce the sufficient conditions in three and four player games for Nash equilibrium solution and for Stackelberg equilibrium solution, and we generalize these results in two basic lemmas. Chapter 3: In the first part (see section (3.1)), we define the problem of parametric oneplayer game and introduce the definition of the Solvability set and study some topological properties of it. Then, we introduce the definition of the Stability set of the first kind and study some topological properties of it, and we introduce method for determination of the element of the stability set of the first kind and we present an example to state this method. In the second part (see section (3.2)), we define the problem of parametric two and threeplayer game and introduce the definition of the Solvability set and study some topological properties of it. Then, we introduce the definition of the Stability set of the first kind and study some topological properties of it Chapter 4: In the first part (see section (4.1)), we define the problem of parametric oneplayer game and introduce the definition of he set of feasible parameter and the Solvability set and study some topological properties of it. Then, we introduce the definition of the Stability set of the first kind and study some topological properties of it,. In the second part (see section (4.2)), we define the problem of parametric two and threeplayers game and introduce the definition of the Solvability set and study some topological properties of it. Then, we introduce the definition of the Stability set of the first kind and study some topological properties of it.