We consider the problem of state-feedback stabilization for multi-channel systems in the differential-game theoretic framework where the class of admissible strategies for the players is induced from a solution set of the individual objective functions that are associated with certain dissipativity inequality properties. In such a framework, we characterize the feedback Nash equilibria over an ...

Evolutionary biologists and ecologists often focus on equilibrium states that are subject to forms of negative feedback, such as optima for phenotypic traits or regulation of population sizes. However, recent theoretical and empirical studies show how positive feedback can be instrumental in driving many of the most important and spectacular processes in evolutionary ecology, including the evol...

Advanced methods of theory of optimal guaranteeing control and techniques of generalized (viscosity, minimax) solutions of Hamilton-Jacobi equations are applied to nonzero sum game interaction between two large groups (coalitions) of agents (participants) arising in economic and biological evolutionary models. Random contacts of agents from different groups happen according to a control dynamic...

Abstract Today, debt stabilization in an uncertain environment is an important issue. In particular, the question how fiscal and monetary authorities should deal with this uncertainty is of much importance. Especially for some developing countries such as Iran, in which on average 60 percent of government revenues comes from oil, and consequently uncertainty about oil prices has a large effec...

The Jamming Avoidance Response, or JAR, in the weakly electric fish has been analyzed at all levels of organization, from 9 whole-organism behavior down to specific ion channels. Nevertheless, a parsimonious description of the JAR behavior in terms of 10 a dynamical system model has not been achieved at least in part due to the fact that “avoidance” behaviors are both intrinsically 11 unstable ...

It is demonstrated by using a simple model, that bedforms in a short tidal embayment can develop due to a positive feedback between tidal currents, sediment transport and bedforms. The system is forced by a prescribed free surface elevations at the entrance of the embayment. The water motions are modelled by the depth{integrated shallow water equations. For the sediment dynamics a diiusively do...

I develop a solution concept, equilibrium coalitional behavior (ECB), which captures foresight and imposes the requirement that each coalition in a sequence of coalitional moves chooses optimally among all its available options. The model does not require, but may use, the apparatus of a dynamic process or a protocol that specifies the negotiation procedure underlying coalition formation. There...

The stability of functional differential equations under delayed feedback is investigated near a Hopf bifurcation. Necessary and sufficient conditions are derived for the stability of the equilibrium solution using averaging theory. The results are used to compare delayed versus undelayed feedback, as well as discrete versus distributed delays. Conditions are obtained for which delayed feedback...

The Jamming Avoidance Response, or JAR, in the weakly electric fish has been analyzed at all levels of organization, from whole-organism behavior down to specific ion channels. Nevertheless, a parsimonious description of the JAR behavior in terms of a dynamical system model has not been achieved at least in part due to the fact that 'avoidance' behaviors are both intrinsically unstable and nonl...

This paper reports the finding of a new chaotic system in a simple three-dimensional (3D) autonomous system with two nonlinear terms, which has rich and complex dynamical behaviors, and its control. Of particular interest is the fact that new chaotic system has a chaotic attractor, one stable node-focus and one unstable saddle-focus. To understand the complex dynamics of the system, some basic ...