Stability of an analog optimization circuit for quadratic programming

نویسندگان

  • Sergey Vichik
  • Murat Arcak
  • Francesco Borrelli
چکیده

Westudy the stability of an analog optimization circuit that solves quadratic programming (QP) problems. The circuit dynamics are modeled as a switched affine system. A piece-wise quadratic Lyapunov function and the KYP lemma are used to derive the stability criterion. The stability criterion characterizes the range of critical circuit parameters for which the QP circuit is globally exponentially stable. © 2015 Elsevier B.V. All rights reserved.

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

Design of a Single-Layer Circuit Analog Absorber Using Double-Circular-Loop Array via the Equivalent Circuit Model

A broadband Circuit Analogue (CA) absorber using double-circular-loop array is investigated in this paper. A simple equivalent circuit model is presented to accurately analyze this CA absorber. The circuit simulation of the proposed model agrees well with full-wave simulations. Optimization based the equivalent circuit model, is applied to design a single-layer circuit analogue absorber using d...

متن کامل

Analog Circuits for Constrained Optimization

This paper explores whether analog circuitry can adequately perform constrained optimization. Constrained optimization circuits are designed using the differential multiplier method. These circuits fulfill time-varying constraints correctly. Example circuits include a quadratic programming circuit and a constrained flip-flop.

متن کامل

A Method for Solving Convex Quadratic Programming Problems Based on Differential-algebraic equations

In this paper, a new model based on differential-algebraic equations(DAEs) for solving convex quadratic programming(CQP) problems is proposed. It is proved that the new approach is guaranteed to generate optimal solutions for this class of optimization problems. This paper also shows that the conventional interior point methods for solving (CQP) problems can be viewed as a special case of the n...

متن کامل

Solving linear and quadratic programs with an analog circuit

We present the design of an analog circuit which solves linear programming (LP) or Quadratic Programming (QP) problems. In particular, the steadystate circuit voltages are the components of the LP (QP) optimal solution. The paper shows how to construct the circuit and provides a proof of equivalence between the circuit and the LP (QP) problem. The proposed method is used to implement a LP-based...

متن کامل

Behavioral Model Equivalence Checking for Large Analog/mixed Signal Systems

Behavioral Model Equivalence Checking for Large Analog Mixed Signal Systems. (May 2011) Amandeep Singh, B.E., Punjab Engineering College, India Chair of Advisory Committee: Dr.Peng Li This thesis proposes a systematic, hierarchical, optimization based semi-formal equivalence checking methodology for large analog/mixed signal systems such as phase locked loops (PLL), analog to digital convertors...

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:
  • Systems & Control Letters

دوره 88  شماره 

صفحات  -

تاریخ انتشار 2016