The strict dissipativity synthesis problem and the rank of the coupling QDF

نویسندگان

  • Madhu N. Belur
  • Harry L. Trentelman
چکیده

The problem of existence of a controlled behavior that is strictly dissipative with respect to a quadratic supply rate is studied. The relation between strictness and the rank of a suitable coupling condition that combines the dissipativity properties of the hidden behavior and the orthogonal complement of the plant behavior is analyzed. c © 2003 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

Admissibility of Viscous-dispersive Systems

We consider the class of viscous-dispersive and higher-order conservation laws. We generalize the work of Kawashima and Shizuta, and others, by extending to higher-order the notions of symmetrizability, strict dissipativity, and genuine coupling. We prove, for symmetrizable systems, that strict dissipativity is equivalent to both (i) genuine coupling and (ii) the existence of a skew-symmetric c...

متن کامل

On the Stability of Viscous-Dispersive Fronts

We consider the class of viscous-dispersive and higherorder conservation laws. We generalize the work of Kawashima & Shizuta, and others, by extending to higher-order the notions of symmetrizability, strict dissipativity, and genuine coupling. We prove, for symmetrizable systems, that strict dissipativity is equivalent to both (i) genuine coupling and (ii) the existence of a skewsymmetric compe...

متن کامل

Dissipativity analysis and design for uncertain Markovian jump systems with time-varying delays

This paper deals with the problems of dissipativity analysis and dissipativity-based controller design for Markovian jump systems with both time-varying delays and normbounded parametric uncertainties. Improved delay-dependent conditions for the system concerned to be strictly dissipative are established by using a mode-dependent Lyapunov–Krasovskii functional and introducing some slack variabl...

متن کامل

Synthesis of strictly dissipative systems and the strictly suboptimal state space H∞ control problem

In this short paper we study the problem of existence of a controlled behavior that is strictly dissipative with respect to a quadratic supply rate. The relation between strictness and the rank of a suitable qudratic differential form that couples the dissipativity properties of the hidden behavior and the orthogonal complement of the plant behavior is analyzed.

متن کامل

Turnpike properties and strict dissipativity for discrete time linear quadratic optimal control problems

We investigate turnpike behaviour of discrete time optimal control problems with linear dynamics and linear-quadratic cost functions including state and control constraints. We give necessary and sufficient conditions in terms of spectral criteria and matrix inequalities. As important tools we use the concepts of strict dissipativity and a new property called strict pre-dissipativity of a syste...

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 51  شماره 

صفحات  -

تاریخ انتشار 2004