Yet Another Computation-Oriented Necessary and Sufficient Condition for Stabilizability of Switched Linear Systems

نویسندگان

چکیده

This article presents a computational method to test the stabilizability of discrete-time switched linear systems. The existence conic cover space on whose elements convex condition holds is proved be necessary and sufficient for stabilizability. An algorithm computing partition that satisfies new given. algorithm, which allows us determine bounds exponential convergence rate, overcome conservatism conditions equivalent periodic applied 4-D system.

برای دانلود رایگان 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

Necessary and sufficient condition for stabilizability of discrete-time linear switched systems: A set-theory approach

In this paper, the stabilizability of discrete-time linear switched systems is considered. Several sufficient conditions for stabilizability are proposed in the literature, but not a necessary and sufficient one. The main contribution is a computation-oriented necessary and sufficient condition for stabilizability based on set-theory. Based on such a condition, an algorithm for computing the Ly...

متن کامل

A necessary and sufficient condition for static output feedback stabilizability of linear discrete-time systems

Necessary and sufficient conditions for a discrete-time system to be stabilizable via static output feedback are established. The conditions include a Riccati equation. An iterative as well as non-iterative LMI based algorithm with guaranteed cost for the computation of output stabilizing feedback gains is proposed and introduces the novel LMI approach to compute the stabilizing output feedback...

متن کامل

A necessary and sufficient condition for output feedback stabilizability

In this paper, we deal with the attitude control of a satellite equipped with wheels of reaction, using the static output feedback. In the first part, we set the control and its integral in the state-feedback form. Then, by using the algorithm of Kucera, we establish the necessary and sufficient conditions so that the nonlinear system which models the satellite will be stabilizable by the Stati...

متن کامل

Reachability realization and stabilizability of switched linear discrete-time systems

In this paper, the reachability realization of a switched linear discrete-time system, which is a collection of linear time-invariant discrete-time systems along with some maps for “switching” among them, is addressed. The main contribution of this paper is to prove that for a switched linear discrete-time system, there exists a basic switching sequence such that the reachable (controllable) st...

متن کامل

A necessary and sufficient condition for the controllability of linear systems in Hilbert spaces and applications

As we have announced in the title of this work, we show that a broad class of linear evolution equations are exactly controllable. This class is represented by the following infinite dimensional linear control system: ż = Az + Bu(t), t > 0, z ∈ Z, u(t) ∈ U where Z, U are Hilbert spaces, the control function u belong to L2(0, t1; U), t1 > 0, B ∈ L(U,Z), A generates a strongly continuous semigrou...

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: IEEE Transactions on Automatic Control

سال: 2022

ISSN: ['0018-9286', '1558-2523', '2334-3303']

DOI: https://doi.org/10.1109/tac.2021.3103872