Safeguarding Control: A New Approach to Constrained Optimization
![The study demonstrates that imposing constraints on the cart-pole swing-up control input [latex] u(t) [/latex] - either directly on the control itself, on the system’s state, or a combination of both - predictably alters the achievable trajectory, with boundaries of [latex] -2 \leq u \leq 2 [/latex] defining the limits of controllable force application.](https://arxiv.org/html/2602.05046v1/x7.png)
Researchers have developed an algorithm that enhances the safety and reliability of optimal control systems by effectively managing constraints during trajectory planning.
![The study demonstrates that imposing constraints on the cart-pole swing-up control input [latex] u(t) [/latex] - either directly on the control itself, on the system’s state, or a combination of both - predictably alters the achievable trajectory, with boundaries of [latex] -2 \leq u \leq 2 [/latex] defining the limits of controllable force application.](https://arxiv.org/html/2602.05046v1/x7.png)
Researchers have developed an algorithm that enhances the safety and reliability of optimal control systems by effectively managing constraints during trajectory planning.

It’s surprisingly rare to find games that truly let you become your character. Lately, many games prioritize long storylines and repetitive quests over genuine roleplaying. However, a few stand out by offering meaningful choices, diverse character builds, and real consequences for your decisions, allowing you to fully embody the character you imagine. These games are typically open-world, varying in size and depth, and we’ll be focusing on how well they let you roleplay.
New research confirms that ghost fields within the Lee model are unable to form stable bound states, deepening the challenges for higher-derivative quantum field theories.

I was super excited watching the Nintendo Direct last week! It was all about games from other companies coming to Switch and the new Switch 2. They announced that Granblue Fantasy: Relink is heading to the Switch 2, which is awesome! We also got news about some games I’ve been waiting for, like Final Fantasy 7 Rebirth and Digimon Story: Time Stranger, both coming to Nintendo consoles sometime in 2026. And it wasn’t just old favorites – they showed off a brand new action RPG called Kyoto Xanadu from Falcom, plus a collection of classic retro games called Console Archives. Definitely a lot to look forward to!

As a support character in Arknights: Endfield, Gilberta should be equipped with gear focused on enhancing her supportive abilities. The Eternal Xiranite set is a great choice, as it boosts her team’s attack power whenever she weakens enemies with Arts damage. Prioritize building her Intellect over Will, as her healing strength depends on it. Also, Gilberta frequently needs to use her Ultimate ability to maximize her effectiveness, so focus on increasing Ultimate Gain Efficiency with every piece of gear you equip.

Gilberta is a valuable addition to many damage-dealing teams in Endfield, working well with units like Laevatain and Yvonne. Unlike traditional support characters, she doesn’t replace them. Instead, she enhances the team’s capabilities by consistently controlling enemies and building up Nature Infliction. Here are some of the most effective team compositions featuring Gilberta in Endfield:

This guide explains how to completely reset your character’s abilities and fighting skills, letting you start the game over with a fresh character. Read on for the steps.
The numbers, oh the numbers! They whispered secrets of a grand migration. From the dusty corners of slow, creaky chains to the shiny, bustling cities of high-performance networks, users have cast off their shackles of delay. Legacy chains, once proud and mighty, now find themselves as guardians of treasure, while the speedy ones handle daily chores with the flair of a magician pulling rabbits from hats.

I totally loved watching Charmed when it first came out on The WB back in ’98! It’s about these three sisters – Prue, Piper, and Phoebe – who find out they’re super powerful witches, known as The Charmed Ones. They basically spend the whole show fighting demons and other bad guys to protect people and get better at their magic. Alyssa Milano, Holly Marie Combs, and the amazing Shannon Doherty were the original stars, though Rose McGowan joined the cast later on. It was a huge hit right away – the first episode broke records! And honestly, it’s still one of those shows I go back to when I need something comforting. Speaking of loving the show, a fan recently built the Halliwell Manor – the sisters’ awesome magical house – in The Sims 4, and it looks incredible!

It’s been a great time to be a Pokémon fan lately, even without official news! Leaks related to the next generation of games – currently believed to be called Pokémon Wind and Wave – have been popping up online, with some new details emerging in February. These leaks suggest we’ll learn about Gym types, the game’s overall theme, and the different island settings. While it’s important to remember these are unconfirmed, an official announcement for the new Pokémon game is coming soon.