Necessary and sufficient stability condition for arbitrarily switched linear systems from a data-driven perspective
نویسندگان
چکیده
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 کاملA new necessary and sufficient stability condition for linear time-delay systems
This paper deals with linear time-invariant systems with multiple delays. We present a necessary and sufficient stability condition, expressed in terms of the delay Lyapunov matrix. This result generalizes the well known Lyapunov theorem for delay free linear systems. An illustrative example shows how to apply the presented condition.
متن کاملNecessary and Sufficient Stability Condition of Discrete State Delay Systems
Abstract: A new method to solve a Lyapunov equation for a discrete delay system is proposed. Using this method, a Lyapunov equation can be solved from a simple linear equation and N -th power of a constant matrix, where N is the state delay. Combining a Lyapunov equation and frequency domain stability, a new stability condition is proposed for a discrete state delay system whose state delay is ...
متن کاملNecessary and sufficient stability condition of fractional-order interval linear systems
Keywords: Fractional-order linear systems Interval uncertainty Necessary and sufficient stability condition a b s t r a c t This paper establishes a necessary and sufficient stability condition of fractional-order interval linear systems. It is supposed that the system matrix A is an interval uncertain matrix and fractional commensurate order belongs to 1 ≤ α < 2. Using the existence condition ...
متن کاملNecessary and Sufficient Condition for Stability of Generalized Expectation Value
Given a probability distribution {pi}i 1,2,...,W , that is, 0 ≤ pi ≤ 1 i 1, 2, . . . ,W and ∑W i 1 pi 1, the ordinary expectation value of a quantity Q of a system under consideration is defined by ∑W i 1 piQi, where W is the total number of accessible states and is enormously large in statistical mechanics, typically being 210 23 . In the field of generalized statistical mechanics for complex ...
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: PAMM
سال: 2013
ISSN: 1617-7061
DOI: 10.1002/pamm.201310232