We present sufficient conditions for global asymptotic stability of cascade discrete-time systems. Considering failure of the global asymptotic stability in some cascade systems, we give an estimate of the region of attraction of the systems
We revisit the known counterexamples and the state of the art of the Markus-Yamabe and LaSalle’s pro...
AbstractFor a discrete dynamical system xn+1=Txn on M⊂Rr some general conditions will be specified u...
AbstractFor the nonlinear discrete dynamical system xk+1=Txk on bounded, closed and convex set D⊂Rn,...
AbstractIn this paper, we give a new, quick proof for a known result on the global asymptotic stabil...
AbstractSeveral types of discrete physical systems are characterized by difference equations. An oft...
We present some results on existence, minimum period, number of periodic orbits, and stability ...
AbstractIn this paper, we derive a necessary condition for local asymptotic stability of equilibria ...
A new criterion is established for global asymptotic stability of second-order systems modeled by eq...
AbstractIn this paper, we derive some sufficient conditions for local asymptotic stability and insta...
16 pages. Modifications 1st Feb. 2006: additional requirement that links the parameter-dependency of...
The asymptotic stability of discrete-time and continuous-time linear systems described by the equati...
This paper analyzes the stabilizability properties of nonlinear cascades in which a nonminimum phase...
robust global asymptotic stability for discrete-time systems and applications to numerical analysi
The question of power and asymptotic stability of infinite-dimensional discrete-time state space sys...
Abstract. This paper proves a global stability result for a class of nonlinear discrete-time systems...
We revisit the known counterexamples and the state of the art of the Markus-Yamabe and LaSalle’s pro...
AbstractFor a discrete dynamical system xn+1=Txn on M⊂Rr some general conditions will be specified u...
AbstractFor the nonlinear discrete dynamical system xk+1=Txk on bounded, closed and convex set D⊂Rn,...
AbstractIn this paper, we give a new, quick proof for a known result on the global asymptotic stabil...
AbstractSeveral types of discrete physical systems are characterized by difference equations. An oft...
We present some results on existence, minimum period, number of periodic orbits, and stability ...
AbstractIn this paper, we derive a necessary condition for local asymptotic stability of equilibria ...
A new criterion is established for global asymptotic stability of second-order systems modeled by eq...
AbstractIn this paper, we derive some sufficient conditions for local asymptotic stability and insta...
16 pages. Modifications 1st Feb. 2006: additional requirement that links the parameter-dependency of...
The asymptotic stability of discrete-time and continuous-time linear systems described by the equati...
This paper analyzes the stabilizability properties of nonlinear cascades in which a nonminimum phase...
robust global asymptotic stability for discrete-time systems and applications to numerical analysi
The question of power and asymptotic stability of infinite-dimensional discrete-time state space sys...
Abstract. This paper proves a global stability result for a class of nonlinear discrete-time systems...
We revisit the known counterexamples and the state of the art of the Markus-Yamabe and LaSalle’s pro...
AbstractFor a discrete dynamical system xn+1=Txn on M⊂Rr some general conditions will be specified u...
AbstractFor the nonlinear discrete dynamical system xk+1=Txk on bounded, closed and convex set D⊂Rn,...
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