In this communication, we introduce and study the various controllability problems for Neumann cooperative parabolic linear system involving Laplace operator with distributed or boundary controls and with observations belong to different spaces.
In this paper, the minimum time problem for differential systems of parabolic type with distributed control and control-state constraints are considered. The minimum time problem is replaced by an equivalent one with fixed time and the necessary optimality conditions of time-optimal control are obtained by using the generalized Dubovitskii-Milyutin Theorem… (More)
In this communication we considered and studied the time-optimal control problem for a liner n n cooperative parabolic system defined on a bounded open domain N R with a strong constraint control n H U u)) ((1 0 . This problem is, steering an initial state u y = (0) with a control , u so that an observation) (t y hitting a given target set in… (More)
Cournot dynamical game is studied on a graph. The stability of the system is studied. Prisoner's dilemma game is used to model natural gas transmission.
We argue that fractional order (FO) differential equations are more suitable to model complex adaptive systems (CAS). Hence they are applied in replicator equations for non-cooperative game. Rock-Scissors-Paper game is discussed. It is known that its integer order model does not have a stable equilibrium. Its fractional order model is shown to have a… (More)