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In this paper, on the basis of a previously developed approach to circuit optimization, the main element of which is the control vector that changes the form of the basic equations, the structure of the control vector is determined, which minimizes CPU time.

The circuit optimization process is defined as a controlled dynamic system with a special control vector. This vector serves as the main tool for generalizing the problem of circuit optimization and produces a huge number of different optimization strategies. The task of finding the best optimization strategy that minimizes processor time can be formulated. There is a need to find the optimal structure of the control vector that minimizes processor time. A special function, which is a combination of the Lyapunov function of the optimization process and its time derivative, was proposed to predict the optimal structure of the control vector. The found optimal positions of the switching points of the control vector give a large gain in CPU time in comparison with the traditional approach.

The optimal positions of the switching points of the components of the control vector were calculated. They minimize processor time. Numerical results are obtained for various circuits.

The Lyapunov function, which is one of the main characteristics of any dynamic system, is used to determine the optimal structure of the control vector, which minimizes the time of the circuit optimization process.

This systematic review of literature purposes to explore the impact of climate change on Mexico's water resources, exploring the impacts and efforts to address the problem as well as their effectiveness.

The researcher relied on several tools to obtain scholarly articles. The primary approach was using preferred reporting items for systematic reviews and meta-analyses. The Journal Impact Factor was an important consideration for the inclusion and exclusion criteria. The work also excluded all journals predating 2009. The work emphasized using journal articles. However, it consulted textbooks and documents from the government and water conservation sources. Contextually the sources with the highest Journal Impact Factor index were selected, paying heed to their relevance to the topic under investigation. Fifty sources out of seventy were included in the systematic review.

Mexico's already strained water resources have been negatively impacted by climate change, behooving the Mexican government to implement various mitigative strategies. However, scholars reported mixed results on the effectiveness of the various policies and programs implemented by the Mexican government. Key impediments to sustainable implementations entailed the political and social contexts surrounding the conservation policies in Mexico.

Numerous articles have explored the impact of climate change on Mexico's water resources, but many focus on a specific aspect. This work took a holistic approach, synthesizing multiple impacts and providing a sociological perspective on the effects, mitigation efforts, and implementation challenges.