Controllability of a Nonholonomic Macroeconomic System

Entropy of Reissner-Nordström 3D Hole in Roegenian Economics

“…Our papers [20]- [34] are significant contributions to Roegenian economics because they set a vision and provides a framework for economics similar to thermodynamics based on a dictionary. In time we developed and study the following ideas: extrema with nonholonomic constraints [20], nonholonomic economic systems [21], economic geometric dynamics [22], black hole geometric thermodynamics [23], [24], Thermodynamics versus Economics [25], multitime optimal economic growth [26], [28], black hole models in economics [27], Geobiodynamics and Roegen type economy [29], nonholonomic geometry of economic systems [30], controllability of a nonholonomic macroeconomic system [31], optimal control on nonholonomic black holes [32], phase diagram for Roegenian economics and Geobiodynamics and Roegenian economic systems [33], economic cycles of Carnot type [34]. We interpret this collection of papers as a call to the economics-physics-mathematics community to respond to the current political forces that (inappropriately) shape our life.…”

Mathematical modeling of the cells repair regulations in Nasopharyngeal carcinoma

“…In this case we can classify the cells into several classes such as the normal cells, the pre-cancer cells, etc. The dynamics of the disease and the optimal control to treat the disease are the interesting topics of this research, see [20] and [21] . The other interesting problem is studying the immune response of the body for the NPC case.…”

On Bounded Strictly Positive Operators of Closed Range and Some Applications to Asymptotic Hyperstability of Dynamic Systems

“…Proposition 11 also implies directly that any nonminimal state-space realization associated with strictly stable zero-pole cancellations of the transfer function is globally asymptotically Lyapunov stable. This follows since the transfer function remains invariant under zero-pole cancellations, so it is identical to that of the minimum state space realization, so that the operator is kept strictly positive and invertible although either controllability or observability (or both) becomes lost [29][30][31]. A generalization of the previous result to the study of hyperstability of composite connections [32] as well to Ulman-type extended stability [33,34] of continuous-time dynamic systems can be performed based on the study given in [32].…”