Maximally persistent connections for the periodic type

نویسندگان

  • Abdul Basit Memon
  • Erik I. Verriest
چکیده

This paper considers the optimal control problem of connecting two periodic trajectories with maximal persistence. A maximally persistent trajectory is close to the periodic type in the sense that the norm of the image of this trajectory under the operator defining the periodic type is minimal among all trajectories. A solution is obtained in this paper for the case when the two trajectories have the same period but it turns out to be only piecewise continuous and so an alternate norm is employed to obtain a continuous connection. The case when the two trajectories have different but rational periods is also solved. The problem of connecting periodic trajectories is of interest because of the observation that the operating points of many biological and artificial systems are limit cycles and so there is a need for a unified optimal framework of connections between different operating points. This paper is a first step towards that goal.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Sufficient conditions on the zeroth-order general Randic index for maximally edge-connected digraphs

Let D be a digraph with vertex set V(D) .For vertex v V(D), the degree of v, denoted by d(v), is defined as the minimum value if its out-degree  and its in-degree . Now let D be a digraph with minimum degree  and edge-connectivity If  is real number, then the zeroth-order general Randic index is defined by   .  A digraph is maximally edge-connected if . In this paper we present sufficient condi...

متن کامل

Analytical and Experimental Investigation of I Beam-to-CFT Column Connections under Monotonic Loading (RESEARCH NOTE)

In this study, the behavior characteristics of I beam-to-concrete filled tube (CFT) column connection is studied through experiment and finite element models under the monotonic loading. To validate the finite element modeling, at first, an experimental model is made and experimented. After validation of the finite element modeling, different models were created in the software. The studied par...

متن کامل

The Behavior of Type of RC Column-to-Steel Beam Connections and Scrutiny Of Behavior Coefficients

(RCS) frames which are systems that dwell of concrete columns and steel beams , by optimizing the act of compressive strength of concrete and bending strength of steel due to not only a decrease in building weight in comparison to concrete structures but also having a better action in long spans frames . In this paper for analysis RCS behavior, a category of nonlinear Push Over analyses were ...

متن کامل

The Behavior of Type of RC Column-to-Steel Beam Connections and Scrutiny Of Behavior Coefficients

(RCS) frames which are systems that dwell of concrete columns and steel beams , by optimizing the act of compressive strength of concrete and bending strength of steel due to not only a decrease in building weight in comparison to concrete structures but also having a better action in long spans frames . In this paper for analysis RCS behavior, a category of nonlinear Push Over analyses were ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • CoRR

دوره abs/1401.6220  شماره 

صفحات  -

تاریخ انتشار 2014