Projection-free approximate balanced truncation of large unstable systems

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

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

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Projection-free approximate balanced truncation of large unstable systems.

In this article, we show that the projection-free, snapshot-based, balanced truncation method can be applied directly to unstable systems. We prove that even for unstable systems, the unmodified balanced proper orthogonal decomposition algorithm theoretically yields a converged transformation that balances the Gramians (including the unstable subspace). We then apply the method to a spatially d...

متن کامل

Title Balanced truncation for time-delay systems via approximate gramians

In circuit simulation, when a large RLC network is connected with delay elements, such as transmission lines, the resulting system is a time-delay system (TDS). This paper presents a new model order reduction (MOR) scheme for TDSs with state time delays. It is the first time to reduce a TDS using balanced truncation. The Lyapunov-type equations for TDSs are derived, and an analysis of their com...

متن کامل

Parallel Implementation of LQG Balanced Truncation for Large-Scale Systems

Model reduction of large-scale linear time-invariant systems is an ubiquitous task in control and simulation of complex dynamical processes. We discuss how LQG balanced truncation can be applied to reduce the order of large-scale control problems arising from the spatial discretization of time-dependent partial differential equations. Numerical examples on a parallel computer demonstrate the ef...

متن کامل

Smith-Type Methods for Balanced Truncation of Large Sparse Systems

The matrices P ∈ Rn×n and Q ∈ Rn×n are called the controllability and observability gramians, respectively. Under the assumptions that A is asymptotically stable, i.e. λi(A) ∈ C− (the open left half-plane), and that Σ is minimal (that is the pairs (A,B) and (C,A) are, respectively, controllable and observable), the gramians P, Q are unique and positive definite. In many applications, such as ci...

متن کامل

Empirical Balanced Truncation of Nonlinear Systems

Novel constructions of empirical controllability and observability gramians for nonlinear systems for subsequent use in a balanced truncation style of model reduction are proposed. The new gramians are based on a generalisation of the fundamental solution for a Linear Time-Varying system. Relationships between the given gramians for nonlinear systems and the standard gramians for both Linear Ti...

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

ژورنال

عنوان ژورنال: Physical Review E

سال: 2015

ISSN: 1539-3755,1550-2376

DOI: 10.1103/physreve.92.023012