A dynamic programming approach to the approximation of nonlinear L2-gain

نویسندگان

  • Peter M. Dower
  • Christopher M. Kellett
چکیده

Abstract— A generalization of the L2-gain inequality based on nonlinear gains is considered. Using optimization and dynamic programming to characterize lower bounds for the minimal gain function for which this nonlinear L2-gain inequality holds, a technique for computation of nonlinear L2gain bounds is proposed. Some simple illustrative examples are explored.

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

A max-plus approach to the approximation of transient bounds for systems with nonlinear L2-gain

The notion of nonlinear L2-gain is a natural generalization of the extensively studied conventional (linear) L2-gain property that finds application in stability analysis and H∞-control for nonlinear systems. As in the conventional formulation, notions of transient and gain bounds play an integral role in the statement of the property as an input / output inequality. These bounds summarize an i...

متن کامل

A dynamic programming approach for solving nonlinear knapsack problems

Nonlinear Knapsack Problems (NKP) are the alternative formulation for the multiple-choice knapsack problems. A powerful approach for solving NKP is dynamic programming which may obtain the global op-timal solution even in the case of discrete solution space for these problems. Despite the power of this solu-tion approach, it computationally performs very slowly when the solution space of the pr...

متن کامل

Close interval approximation of piecewise quadratic fuzzy numbers for fuzzy fractional program

  The fuzzy approach has undergone a profound structural transformation in the past few decades. Numerous studies have been undertaken to explain fuzzy approach for linear and nonlinear programs. While, the findings in earlier studies have been conflicting, recent studies of competitive situations indicate that fractional programming problem has a positive impact on comparative scenario. We pro...

متن کامل

Stochastic Approach to Vehicle Routing Problem: Development and Theories

Stochastic Approach to Vehicle Routing Problem: Development and Theories Abstract In this article, a chance constrained (CCP) formulation of the Vehicle Routing Problem (VRP) is proposed. The reality is that once we convert some special form of probabilistic constraint into their equivalent deterministic form then a nonlinear constraint generates. Knowing that reliable computer software...

متن کامل

Study on multi-objective nonlinear programming in optimization of the rough interval constraints

This paper deals with multi- objective nonlinear programming problem having rough intervals in the constraints. The problem is approached by taking maximum value range and minimum value range inequalities as constraints conditions, reduces it into two classical multi-objective nonlinear programming problems, called lower and upper approximation problems.  All of the lower and upper approximatio...

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:

دوره   شماره 

صفحات  -

تاریخ انتشار 2008