On linear co-positive Lyapunov functions for sets of linear positive systems
نویسندگان
چکیده
منابع مشابه
On linear co-positive Lyapunov functions for sets of linear positive systems
In this paper we derive necessary and sufficient conditions for the existence of a common linear co-positive Lyapunov function for a finite set of linear positive systems. Both the state dependent and arbitrary switching cases are considered. Our results reveal an interesting characterisation of “linear” stability for the arbitrary switching case; namely, the existence of such a linear Lyapunov...
متن کاملApplications of Linear Co-positive Lyapunov Functions for Switched Linear Positive Systems
In this paper we review necessary and sufficient conditions for the existence of a common linear co-positive Lyapunov function for switched linear positive systems. Both the state dependent and arbitrary switching cases are considered and a number of applications are presented.
متن کاملPositive 2D Discrete-Time Linear Lyapunov Systems
Two models of positive 2D discrete-time linear Lyapunov systems are introduced. For both the models necessary and sufficient conditions for positivity, asymptotic stability, reachability and observability are established. The discussion is illustrated with numerical examples.
متن کاملThe Structure of Common Linear Copositive Lyapunov Functions for Continuous time Switched Positive Linear Systems
This paper addressed the structure of common linear copositive Lyapunov function (CLCLFs) for continuoustime switched positive linear systimes (CSPLS). In this note, first of all, for the n×n-dimensinal matrices family, which entries are the Hurwitz and Metzler switch matrices of an n-dimensional CSPLS, we presented, by a straightforward algebraic computation, a procedure for constructing a gro...
متن کاملOn the preservation of co-positive Lyapunov functions under Padé discretization for positive systems
In this paper the discretization of switched and non-switched linear positive systems using Padé approximations is considered. We show: 1) diagonal Padé approximations preserve both linear and quadratic co-positive Lyapunov functions; 2) positivity need not be preserved even for arbitrarily small sampling time for certain Padé approximations. Sufficient conditions on the Padé approximations are...
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: Automatica
سال: 2009
ISSN: 0005-1098
DOI: 10.1016/j.automatica.2009.04.013