In this letter, we consider the problem of regulating voltage an islanded Direct Current (DC) network subject to (i) unknown ZIP-loads, i.e., nonlinear loads with parallel combination constant impedance (Z), current (I) and power (P) components, (ii) time-varying disturbances. Using port-Hamiltonian framework, two decentralized passivity-based control schemes are designed. It is shown that, usi...

The exponential stability of a class of discrete time linear systems with a finite state Markov chain form process and the impulsive jump at switching moments is studied. Based on the average dwell time concept, it is shown that if the average dwell time and the ratio of the expectation of the activation time with stable subsystems to the expectation of the activation time with unstable subsyst...

Non-negative definite Lyapunov functionals are employed to obtain sufficient conditions that guarantee exponential stability of the zero solution of a nonlinear discrete system. The theory is illustrated with several examples.

Random access schemes for packet networks featuring distributed control require algorithms and protocols for resolving packet collisions that occur as the uncoordinated terminals contend for the channel. A widely used collision resolution protocol is the exponential backoff (EB). New analytical results for the stability of the (binary) EB are given. Previous studies on the stability of the (bin...

In this paper, sufficient conditions are proposed to investigate the robust stability of arbitrary switched linear systems with uncertain parameters belongs to the known intervals. In addition, a method is then established to determine the maximum intervals of parameters' variations which guarantee robust exponential stability of uncertain switched linear systems under arbitrary switching. In t...

We show that uniformly global asymptotic stability for a family of ordinary diierential equations is equivalent to uniformly global exponential stability under a suitable nonlinear change of variables.

Abstract By employing Schauder’s fixed point theorem and a non-Liapunov method (matrix theory, inequality analysis), we obtain some new criteria that ensure existence and global exponential stability of a periodic solution to a class of functional differential equations. Applying these criteria to a cellular neural network with time delays (delayed cellular neural network, DCNN) under a periodi...