Non-coprime quadratic systems
نویسندگان
چکیده
منابع مشابه
Quadratic Optimal Control through Spectral and Coprime Factorisation
We study the innnite horizon quadratic cost minimization problem for a linear time-invariant distributed parameter system with nitely may inputs and outputs. We work in an input/output framework, and reduce the unstable case to the stable case by the use of a right coprime factorization of the impulse response and a preliminary stabilizing feedback. The stable case is then solved through spectr...
متن کاملQuadratic Optimal Control through Coprime and Spectral Factorizations
We consider the innnite horizon quadratic cost minimization problem for a linear time-invariant distributed parameter system with nitely may inputs and outputs. Our approach is to work in an input/output framework, and to reduce the problem to a symmetric Wiener-Hopf problem, that can be solved by means of a canonical factorization of the symbol. We have earlier solved the case where the system...
متن کاملQuadratic and Non-Quadratic Stability Criteria for Switched Linear Systems
This thesis deals with the stability analysis of switched linear systems. Such systems are characterised by a mixture of continuous dynamics and logic-based switching between discrete modes. This system class appears in a large variety of control systems and has a wide field of applications in the modern industrial society. While the application of switched control systems can be very beneficia...
متن کاملCoprime factorization for regular linear systems
The well known state-space formulae for doubly coprime factorizations of transfer functions of stabilizable and detectable linear systems are extended to a large class of infinite-dimensional systems known as regular linear systems. Abstract-Mild sufficient conditions are given for the existence of a doubly coprime factorization of the transfer function of a regular linear system, as well as fo...
متن کاملCoprime Factorization and Well-Posed Linear Systems
We study the basic notions related to the stabilization of an infinite-dimensional well-posed linear system in the sense of Salamon and Weiss. We first introduce an appropriate stabilizability and detectability notion, and show that if a system is jointly stabilizable and detectable then its transfer function has a doubly coprime factorization in Hm. The converse is also true: every function wi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 1996
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700016749