Author: jorgemayorga

Course : Multi-Agent Systems Control :: Chapter 2 – Foundations

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Linear Algebra

$ latex \displaystyle \sum_{n=1}^\infty \frac{1}{n^2} = \frac{\pi^2}{6}. $

$ latex \displaystyle \sum_{n=1}^\infty \frac{1}{n^2} = \frac{\pi^2}{6}. $

$latex ihbarfrac{partial}{partial t}left|Psi(t)right=Hleft|Psi(t)right>$

\( \Huge E=mc^2\)

Graph Theory

SISO Dynamical Systems

MIMO Dynamical Systems

IELTS : Daily Writing Task N1

Posted on by jorgemayorga

Task Description (40 min – 250 words)

Does Internet need to be controlled by the government?

Task Description (40 min – 250 words)

Topic: The Role of Technology in Education

Topic: The Impact of Globalization on Cultural Identity

Topic: The Benefits and Drawbacks of Online Shopping

Topic: Should Students Be Encouraged to Work Part-Time?

Topic: Should Governments Spend Money on Space Exploration?

Topic: The Influence of Celebrities on Society

Topic: Should Children Be Taught Financial Management in School?

Task Description (40 min – 250 words)

Some claim that when cultural practices are utilized as tourist attractions intended to generate revenue, they are destroyed. Some claim that this is the only way to keep certain customs alive.

Planning

  1. Find Keywords : cultural practices, tourist attractions, destroyed.
  2. Find Micro-Keywords: ???
  3. Find Instruction Words: NA

Why Stages

Why some cultural practices are utilized as tourist attractions and got destroyed

— When you commercialize a product you will try to make that product to fit your customers needs, changing it a bit to increase the changes of a purchase, modifying in that process the cultural practices

— Tourist can influence the cultural practices making them change in the time.

Why some cultural practices needs to be treated as tourist attractions to get some money and live.

— Some cultural practices are vanishing by time and because whose practice it are minority, the changes of lose that cultural value are high, because of that exposing them as a tourist product is the best chance we have to preserve they, otherwise we can risk to lose the practice overall

Structure

P1 Intro

  1. Paraphrase Sentence
  2. Thesis Statement
  3. Outline Statement

P2 Why advantages of utilized cultural practices as tourist attractions

  1. Topic Sentence
  2. Explanation
  3. Example

P3 Why disadvantages of utilizing cultural practices as tourist attractions

  1. Topic Sentence
  2. Explanation
  3. Example

P4 Conclusion

  1. Summary of main points
  2. Explanation
  3. Example

In a modern world where everything is connected and people from all over the globe travels to diferents parts of the world, some cultural practices are being handled as part of the tourist atractive of places. Some people claim that this practices are destroying its cultural value meanwhile others claims that this might be the only way to preserve it from dying.

Exposing cultural practices to tourist may destroy cultural value and even transform the practices because of its commercial nature. Its well known that a profit activity like tourism wants to sell the more better to clients, in order to do that, its natural that the cultural practices may suffer from changes that increase the commercial value, like changing food ingriedients, music or event language to make it more appelaing to the tourist.

On the contrary, some cultural practices might not be able to live if they are not financial supported, even is that support comes from tourism. Given its niche nature of this cultural practices, its in danger to dissapear if the people that practiced it reduced by time or change it to more globalized practices. For example some indegenous language will be completly lost if the reserves and natural parks werent using them as a part of the tourist pack founding with money, teachers and spaces to practice it every day.

In conclusion, cultural practices utilized in tourims can destroy its cultural value, but in some cases may be the only way to preserve some value of these practices given its financial support that cames with the tourist activies.

Chat GPT Notes

  1. Clarity and Cohesion:
    • Ensure that your ideas flow smoothly from one to the next. Break down longer sentences into shorter ones for clarity.
    • Use transition words and phrases to guide the reader through your arguments. For instance, you could use words like “however,” “on the other hand,” or “in contrast” to signal shifts in perspective.
  2. Grammar and Mechanics:
    • Pay attention to subject-verb agreement and verb tense consistency throughout your essay.
    • Check for punctuation errors, such as missing commas or periods.
    • Review your use of articles (e.g., “the,” “a,” “an”) to ensure correctness.
  3. Word Choice:
    • Be mindful of word choice to convey your ideas more precisely. For example, consider using “appealing” instead of “appelaing” and “indigenous” instead of “indegenous.”
    • Aim for academic language and avoid colloquial expressions.
  4. Development of Ideas:
    • Expand on your examples and provide more specific details to strengthen your arguments. Instead of stating that indigenous languages are being preserved in reserves and natural parks, you could provide concrete examples of such preservation efforts and their impact.
    • Consider including counterarguments and rebuttals to further demonstrate your understanding of the complexity of the issue.

CHAT GPT Eassy

In our interconnected world, cultural practices often find themselves thrust into the spotlight as tourist attractions. While some argue that this exposure leads to the erosion of cultural value, others contend that is essential for the survival of these traditions.

Exposure to tourism can indeed compromise the authenticity of cultural practices, as they become commodified for commercial gain. Tourist-driven demand may prompt alterations to traditional practices to make them more marketable, such as modifying ingredients, music or language. Consequantly, the essence of the practice may be diluted or event list in the pursuit of profit.

Conversely, financial support from tourism can be vital for the preservation of niche cultural practices that would otherwise struggle to survive. For instance, indigenous languages may face extinction without external funding. Indigenous communities may rely on revenue generated from tourism to fund language revitalization programs, maintain cultural sites, and provide resources for daily practices. Thus, tourism serves as lifeline for the continuation of these endangered traditions.

In conclusion, while the commercialization of cultural practices through tourism poses a risk to their authenticity, it can also provide crucial financial support for their preservation. Striking a balance between exposure to tourism and safeguarding cultural integrity is essential to ensure the longevity of these cherished traditions

Course : Multi-Agent Systems Control :: Chapter 1 – Introduction

Posted on by jorgemayorga

Welcome

Welcome to our comprehensive course on Complex Network Systems and Control!

In this course, we will delve into the fascinating world of cooperative control of complex network systems over directed switching communication topologies.

Introduction: Our journey begins with an exploration of recent research progress in cooperative control. We’ll investigate how various scientific communities, from applied mathematics to sociology, have contributed to understanding the dynamics of complex network systems (CNSs) and multi-agent systems (MASs).

Outline of Contents: To guide you through this course, here’s an outline of the topics we’ll cover:

  1. Introduction to Multi-Agent Systems and Complex Network Systems
    • Understanding CNSs and MASs
    • Exploring synchronization and consensus
    • Reviewing recent research progress
  2. Foundations of Dynamical and Network Systems
    • Understanding basic concepts of dynamical systems
    • Introduction to network theory and graph theory
    • Exploring key properties of complex networks
    • Reviewing fundamental principles of control theory applied to networks

Conclusion: By the end of this course, you’ll have gained a solid understanding of cooperative control principles applied to complex network systems. You’ll be equipped to tackle real-world challenges in various fields, from engineering to biology.

We’re excited to embark on this learning journey with you!

Best regards,

Welcome

Introduction

Multi-agent systems (MASs) have emerged as a dynamic research domain over the last two decades, finding applications in diverse fields such as mobile robotics, unmanned aerial vehicles (UAVs), autonomous underwater vehicles, and satellites. Among the myriad challenges in MASs, the consensus tracking problem stands out as particularly significant. In practical scenarios, the velocities of maneuvering agents are subject to change over time, and the communication radius of each agent is limited. Consequently, the communication topology between agents can vary, making the tracking problem under time-varying topologies a critical area of study.

An Overview of Multi-agent Systems

Drawing inspiration from human group activities and collective behaviors observed in nature, researchers have dedicated significant efforts to understanding MASs. Over the past two decades, MASs have garnered widespread attention across various disciplines, yielding numerous advancements in areas such as consensus tracking with switching topologies, disturbance-rejection consensus, finite-time tracking control, pinning adaptive-impulsive control, and optimal coordination.

MASs consist of multiple autonomous agents capable of sensing the environment, movement, and information processing. Agents can take various forms, including UAVs, unmanned ground vehicles (UGVs), spacecraft, autonomous trains, and robots. The collaborative nature of MASs enables efficient, cost-effective, and reliable solutions to complex tasks by distributing them among individual agents.

Cooperative control of MASs encompasses various categories, including consensus control, formation control, and tracking control. Consensus control, in particular, has garnered significant attention due to its fundamental nature. Consensus in MASs refers to the agreement among agents regarding a certain quantity of interest, typically dependent on the state of all agents. Formulating consensus problems as leaderless or leader-following scenarios has been a common approach, where agents aim to reach a common value or follow a virtual leader’s objective, respectively.

Formation control involves guiding a group of interconnected agents to cooperatively move in a desired formation pattern, which can be either time-invariant or time-varying. Tracking control, on the other hand, focuses on guiding agents to track a target, akin to a leader-following consensus problem.

SINGLE AGENT SYSTEMMULTI-AGENT-SYSTEM

Consensus:

Since consensus of MASs is a fundamental problem in this research area, it has attracted increasing attention of researchers from various disciplines of engineering, biology, and science. In networks of agents, consensus means to reach an agreement regarding a certain quantity of interest that depends on the state of all agents. A consensus algorithm is an interaction rule that specifies the information exchange between an agent and all of its neighbors on the network. The consensus problems have been formulated as consensus of leaderless problems or leader-following problems . For a cooperative MAS, leaderless consensus means that each agent updates its state based on local information of its neighbors such that all agents eventually reach an agreement on a common value, while leader-following consensus means that there exists a virtual leader that specifies an objective for all agents to follow.

Given a agent 

\dot{ x_{i}}(t)  = u_{i}(t)

Formation control:

Formation control is another hot topic, where a group of interconnected agents is controlled to cooperatively move with a desired formation pattern. The desired formation could be time invariant or time varying. Specifically, Lu et al. obtain sufficient conditions guaranteeing the exponentially converging speeds for both time-invariant and time- varying formation problems of MASs with directed graph interconnection topologies and time-varying coupling delays. Wang et al. design a novel event-triggered integral sliding mode control strategy that makes sure the high-order agents achieve a time-varying formation.

Tracking control :

Tracking control is a typical issue of MASs [7,9,11,13,28]. Many researchers have achieved significant results [13,2932] on the tracking problem as it is an important topic in MASs’ research area. Consensus track- ing of a target can be regarded as leader-following consensus problem. For example, Hajshirmohamadi et al. [33] propose unified event-triggered frame- work that requires the agents to transmit their information when the trigger- ing condition is satisfied. In Ref. [34], two adaptive event-triggered communication schemes are presented for the consensus tracking control of MASs with stochastic actuator failures. Linear and dynamic-gain-based non- linear observers are designed for solving the consensus tracking problem of second-order MASs with disturbance in Ref. [35].

Chapter 2: Dynamics and Control Strategies

The diverse forms of agents in MASs lead to varying mathematical models for their dynamics, broadly categorized into linear and nonlinear dynamics. Recent research efforts have also delved into MASs with integer dynamics, owing to their simplicity and analytical tractability. Additionally, studies have explored MASs with nonlinear dynamics and switching topologies, reflecting the complexity and diversity of real-world MAS scenarios.

In subsequent chapters, we will delve deeper into the methodologies and techniques employed in consensus tracking under switching topologies, exploring both theoretical frameworks and practical applications in MASs.

Stay tuned for an insightful journey into the world of consensus tracking in multi-agent systems with switching topologies!