TIME-VARYING LINEARIZATION AND THE PERRON EFFECTS

Time-Varying Linearization and the Perron Effects

In 1892, the general problem of stability by the first approximation was considered by Lyapunov. He proved that if the system of the first approximation is regular and all its Lyapunov exponents (or characteristic exponents) are negative, then the solution of the original system is asymptotically Lyapunov stable. In 1930, it was stated by O. Perron that the requirement of regularity of the firs...

the effects of time planning and task complexity on accuracy of narrative task performance

هدف اصلی این تحقیق بررسی تاثیر برنامه ریزی زمانی، هم چنین افزایش میزان پیچیدگی تکالیف در نظر گرفته شده بصورت همزمان، بر دقت و صحت و پیچیدگی عملکرد نوشتاری زبان آموزان می باشد. بدین منظور، 50 نفر از دانش آموزان دختر در رده ی سنی 16 الی 18 سال به عنوان شرکت کنندگان در این زمینه ی تحقیق در نظر گرفته شدند و به دو گروه آزمایشی و کنترل بصورت اتفاقی تقسیم شدند. اعضای گروه آزمایشی هر دو تکلیف ساده و پی...

Some remarks on static-feedback linearization for time-varying systems

This work summarizes some results about static state feedback linearization for time-varying systems. Three different necessary and sufficient conditions are stated in this paper. The first condition is the one by [Sluis, W. M. (1993). A necessary condition for dynamic feedback linearization. Systems & Control Letters, 21, 277–283]. The second and the third are the generalizations of known resu...

Formal Linearization of Nonlinear Time-varying Dynamic Systems Using Chebyshev and Laguerre Polynomials

This paper is concerned with a formal linearization problem for a general class of nonlinear time-varying dynamic systems. To a given system, a linearization function is made up of Chebyshev polynomials about its state variables. The nonlinear time-varying system is transformed into a linear time-varying system in terms of the linearization function using Chebyshev interpolation to state variab...

Time-Varying Monetary Policy Reaction Function: The Case of Iran