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This paper provides a Lyapunov formulation of the cyclic-small-gain theorem for general dynamical networks (large-scale systems) composed of interconnected input-to-state stable (ISS) subsystems. ISS-Lyapunov functions for dynamical networks satisfying cyclic-small-gain are constructed from the ISS-Lyapunov functions of the subsystems.
We study classical families of chemostat models with an arbitrary number of species competing for a single limiting substrate. For families of models, we present some obstructions to the existence of asymptotically stabilizable periodic trajectories. For other families of growth rates, we design a dilution rate and input substrate time-varying feedback controllers so that a positive trajectory of...
A new small-gain theorem is presented for general nonlinear control systems described either by ordinary differential equations or by retarded functional differential equations. The novelty of this research work is that vector Lyapunov functions and functionals are utilized to derive various input-to-output stability results. It is shown that the proposed approach recovers several recent results as...
This paper addresses the problem of constructing Lyapunov-Krasovskii functionals for verifying integral input-to-state stability(iISS) and input-to-state stability(ISS) of time-delay nonlinear systems. Based on decomposition of a time-delay system into a dynamic component (a functional differential equation) and static components (functional algebraic equations), this paper develops an iISS small-gain...
In this paper, we study pattern preserving path following control of unicycle teams with communication delays. The pattern of the vehicle team is said to be preserved if the distance between it and the desired one remains in some given range. A virtual vehicle formation is introduced such that each virtual vehicle becomes the pursuit target for the corresponding real vehicle. First, an input-driven...
This paper presents further results on the problem of establishing stability of retarded nonlinear interconnected systems comprising integral input-to-state stable subsystems. It is shown that the stability of the interconnected systems with respect to external signals can be verified by constructing Lyapunov-Krasovskii functionals explicitly whenever small-gain type conditions are satisfied. The...
In order to protect search radar, a moving baiting source can be used to lure the ARM. Furthermore, in order to reuse and protect the baiting source, such a method can be used in which the baiting source will turn off after working a time and continue to move along a semicircle track. Based on the theory analysis, simulation is carried out for different cases, and results are analysed and compared...
Inter-enterprises workflow is by no means rare recently, which is more complex and dynamic than the intra-enterprise workflow. The Timed Colored Petri Nets (TCPN)-enhanced process-view approach implemented in our previous work provides an effective way to facilitate inter-enterprises workflow management. In this paper, the collaborative execution mechanisms have been developed for the TCPN-enhanced...
The verification of the Mean Time To Repair (MTTR) is a problem of interest in many practical cases. As maintenance time can often be adequately described by a lognormal distribution, the problem leads us to research on statistical inference on the mean of the lognormal distribution. To achieve this purpose, we propose the Sequential Posterior Odd Test (SPOT) method for verification of the unknown...
Parameter-tuning stochastic resonance has been successfully applied to one-dimensional signal processing. This paper explores the feasibility to extend this technique for image processing. Based on the two-dimensional nonlinear bistable dynamic system, the equation satisfied by the system output probability density function is derived for the first time. The corresponding equation for the one-dimensional...
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