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The maximum principle of Pontryagin is applied for designing optimal nonlinear dynamics.
The method used is the maximum principle of Pontryagin and Hestenes.
Furthermore, with the help of the Maximum Principle of Pontryagin, we design an optimal control strategy for the previous model to extend the region of stability and reduce the density of infected nodes in WSNs.
Auxiliary results of independent interest are also obtained: a density property for the space W1,p, a strong maximum principle of Zhangʼs type, and a Moserʼs iteration scheme depending on a parameter.
For the Carnot cycle and the irreversible thermodynamic processes where the working fluid is heated by the streams with prescribed inlet temperatures and specific capacity flow rates, we find that the maximum entransy loss leads to the maximum output work, which is the maximum principle of entransy loss in thermodynamic processes.
The notion of total optimality is defined, and the totally optimal fields of trajectories and control curves are introduced and studied in relation to the Isaacs principle of transition, Bellman principle of optimality, maximum principle of Pontryagin, and variational principles of mechanics.
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Finally, in Section 5, we derive the maximum principles of w and prove Theorem 1.1.
12. " Application of the Maximum Principle to the Design of Minimum Bandwidth Pulses," (with D. M. DiToro), IEEE Trans.
We establish a maximum principle for subsolutions of second order elliptic equations.
This problem is solved using the version of the Pontryagin maximum principle, elements of the qualitative theory of differential equations and methods of differential games.
Figures 10, 11 show the ratio of peak dynamic and static maximum principle stress of monitoring points 1 8.
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