The Stability Of A Kind Of Interval Dynamical Systems And Applied On Power System Markets

In the area of control, zoology, electric power and economy, a lot of questions came down to the research of the stability of interval dynamical system. So, It is particularly important to research this aspect today.We concentrated on the following three questions in this thesis : the first ,we studied the stability of a kind of interval dynamical system by constructing control martric and the Lyapunov functions. the robust stability of interval dynamical systems with time-delay is also discussed by constructing suitable control matrix and iterative function.The second,adequately conditions of practical stability with differential and algebra eqution are obtained by constructing function V. The conclusion was simply and easy to operate. The third, Lyapunov stability of the model of power system markets given by Alvarado are discussed. Toward the conclusion we gived corresponding mumeric simulate. Testifing the conclusion we obtained was practicability and easily to operate.