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
Abstract—This technical note deals with a general class of discrete 2-D possibly nonlinear systems b...
Homogeneous 2D positive systems are 2D state-space models whose variables are alwalys nonnegative an...
Two-dimensional (2D) positive systems are 2D state space models whose variables take only nonnegativ...
The new necessary and sufficient conditions for the reachability, controllability to zero and observ...
A new class of fractional 2D Lyapunov systems described by the Roesser models is introduced. Necessa...
New necessary and sufficient conditions for asymptotic stability of positive continuous-discrete 2D ...
International audienceThis paper addresses the problem of stability for general two-dimensional (2D)...
The paper mitigates the existing conditions reported in the previous literature for control design o...
New necessary and sufficient conditions for asymptotic stability of positive continuous-discrete lin...
Abstract: The positive switched 2D linear systems described by the general models are addressed. Nec...
The problem of existence and determination of the set of positive asymptotically stable realizations...
International audienceThis paper is concerned with the analysis and synthesis of linear positive sys...
Stable positive linear time-invariant autonomous systems admit diagonal quadratic Lyapunov functions...
Abstract. Two-dimensional (2D) positive systems are 2D state-space models whose state, input and out...
Homogeneous 2D positive systems are 2D state space models whose variables are always nonnegative and...
Abstract—This technical note deals with a general class of discrete 2-D possibly nonlinear systems b...
Homogeneous 2D positive systems are 2D state-space models whose variables are alwalys nonnegative an...
Two-dimensional (2D) positive systems are 2D state space models whose variables take only nonnegativ...
The new necessary and sufficient conditions for the reachability, controllability to zero and observ...
A new class of fractional 2D Lyapunov systems described by the Roesser models is introduced. Necessa...
New necessary and sufficient conditions for asymptotic stability of positive continuous-discrete 2D ...
International audienceThis paper addresses the problem of stability for general two-dimensional (2D)...
The paper mitigates the existing conditions reported in the previous literature for control design o...
New necessary and sufficient conditions for asymptotic stability of positive continuous-discrete lin...
Abstract: The positive switched 2D linear systems described by the general models are addressed. Nec...
The problem of existence and determination of the set of positive asymptotically stable realizations...
International audienceThis paper is concerned with the analysis and synthesis of linear positive sys...
Stable positive linear time-invariant autonomous systems admit diagonal quadratic Lyapunov functions...
Abstract. Two-dimensional (2D) positive systems are 2D state-space models whose state, input and out...
Homogeneous 2D positive systems are 2D state space models whose variables are always nonnegative and...
Abstract—This technical note deals with a general class of discrete 2-D possibly nonlinear systems b...
Homogeneous 2D positive systems are 2D state-space models whose variables are alwalys nonnegative an...
Two-dimensional (2D) positive systems are 2D state space models whose variables take only nonnegativ...