Technology invades the modern world

Chapter 93 This is not what I want
Lin Ran didn't say anything, and the room was silent.

Korolev must be a smart man to have been able to escape from a hellish place like Siberia.

He immediately thought of the secret report that Pokrovsky sent back from the Far East, including the missile accuracy optimization model that the Soviet Union bought from China at a high price.

That model and what Lin Ran is talking about now have the same core, which is the application of optimal control theory in the real world.

"Oh it's you."

Before coming here, Korolev had carefully studied Lin Ran's life and knew that he had been to Hong Kong last year. Without Lin Ran's admission, he knew that he must be related to China's missile accuracy optimization model.

"Randolph, don't worry, I will tell Qian exactly what you told me about the optimal control theory," said Korolev.

Lin Ran shook his head: "Not enough."

It’s not that it’s not possible, it’s that it’s not enough.

Korolev narrowed his eyes. He was well aware of the value of what Lin Ran said, so he asked seriously, "What do you want?
Provide China with technical assistance, interest-free loans or industrial projects?
You set the conditions, and I'll choose the ones I can agree to."

The subtext of this sentence is, my authority is limited, so don't ask for too much. I will make the decision and agree to everything I can agree to.

Lin Ran said: "Neither, I have said before that my design for space is to build an information exchange network constructed by tens of thousands of satellites.

Tens of thousands of satellites require the cooperation of all mankind. Later, I will have America promote an international space convention at the United Nations. You must convince the top leaders of the Soviet Union to vote in favor of the space convention I will draft."

Lin Ran's design is a chain of links. Building the Starlink Internet in the 70s after the end of the moon race was an important step in bypassing the fiber optic era.

In order to prevent China from missing this link, providing China with reusable rocket technology is one aspect. He believes that under the leadership of President Qian, China can also produce something similar.

What is more important is to establish a set of rules of the game similar to the 1967 Outer Space Treaty.

Design a set of rules of the game within the framework of the United Nations that will maintain international balance and take into account the interests of both big and small countries.

China, on the other hand, was able to find a bug in this process.

If Starlink can really be successfully built to replace the optical fiber of the future and become the Internet of this era, China can just sit back and collect money every year based on these rules of the game.

Because in this era, there are PRC and ROC. The one in the United Nations now is ROC, and it will become PRC in the future.

This is where China was able to exploit the loophole, just like how China has been reaping the benefits of developing countries in the WTO and various international organizations for the past 20 years.

As for why Lin Ran is confident that this treaty will be passed, on the one hand, the Outer Space Treaty was originally signed in 1967, so it is normal for him to add some personal opinions.

On the other hand, the Soviet Union's ability to land on the moon ahead of schedule would be a huge stimulus to America. America hoped to limit the Soviet Union's space strategy development through international treaties. The Soviet Union would also agree to such a treaty considering America's industrial strength.

This is a naked conspiracy.

Korolev never expected this condition: "Sorry, I can't guarantee that."

Lin Ran explained: "That will be a reasonable treaty, you will know when the time comes.

Well, I'll continue to tell you, and when you see it, you'll naturally agree." Korolev took out a notebook from his pocket and a pen from his breast pocket: "Professor Lin, please."

"We first formalize the soft landing problem as an optimal control problem. Assume that the motion of the spacecraft is represented by the following dynamic equations."

Fortunately, this is the office building of the School of Mathematics, and there is a blackboard in the lounge.

He wrote the formula x(t)=Ax(t)+Bu(t)+g on the blackboard.

After a fierce output, Lin Ran finally concluded:
"I proposed a relaxation method that involves introducing new variables to loosen the constraints to the point where a non-convex constraint can be transformed into a convex constraint. This relaxation is lossless and uses the maximum principle, which means that the solution to the convex problem is consistent with the solution to the original problem.

Also here, I introduce auxiliary variables and geometric insights to transform it into a convex second-order cone constraint.

In addition, considering the maximization condition of the Hamiltonian function, this relaxation will not change the optimal solution.

That is, for a given soft landing problem, if the dynamic system is controllable, then the optimal solution of the relaxed convex problem satisfies the original non-convex constraints.

This losslessness depends on the geometric properties of the system and the normality of the control set, that is, the Hamiltonian function is uniquely maximized at the extreme point of the feasible set.

Twenty minutes passed in a flash, and Korolev applauded and said, "I witnessed the human wisdom shining at this moment.

Professor Lin, I am even more interested in you. If you want to come to Moscow, please put a letter expressing your willingness to come to Moscow in the third drawer of your desk at any time, and we will naturally bring you back to Moscow."

Lin Ran didn't respond, but asked, "Do you understand everything?"

The reason why he dared to talk to Korolev here openly was because Lin Ran checked the room immediately after entering it and confirmed that there were no eavesdropping devices.

Korolev pointed to his brain and said, "No, but it's all stored in my head. I will relay it exactly as it is to my fellow mathematicians at the Academy of Sciences when I return."

Lin Ran glanced at the other person's sweaty forehead and thought that the big guys really did have super memories. Korolev was probably concentrating on listening to what he was saying just now.

After Korolev left, the person in charge of Lin Ran's security finally arrived. When he asked, he found out that one of the two people went to the toilet because he was unwell, and the other one was taken away by the English staff.

"Didn't Comrade Michal Gorenevsky just defect to America in January? Why is London still like a sieve?" Lin Ran was speechless.

"Professor Lin, please." Harold Davenport, president of the London Mathematical Society, knocked on the door outside the lounge to remind Lin Ran that the academic seminar was about to begin.

If it weren't for Harold Davenport, Lin Ran would not have come to the University of London, but to Oxford and Cambridge.

In the 30s, Harold Davenport was a visiting scholar in Göttingen for two years on a Trinity Research Scholarship and had a good relationship with Siegel.

It was also thanks to Siegel's matchmaking that Harold Davenport was able to successfully invite Lin Ran.

Lin Ran was a little dazed, as if Korolev had never been there at all.

"Good morning, everyone. I believe we still have plenty of time to discuss this. I hope to answer some of your questions, whether they relate to work I've done or not, or questions related to number theory, analysis, or geometry. Perhaps I can offer you some new perspectives."

(End of this chapter)