Live Roundups Editor's Desk Insights Executive Ops Weather About 🔍
Home › Science › Constrained Control of PDE Traffic Flow via Spatial...
Science

Constrained Control of PDE Traffic Flow via Spatial Control Barrier Functions

arXiv CS Wednesday 03 June 2026, 04:00 UTC By Brian Block, Stephanie Stockar 1 min read
Key Points

Announce Type: replace Abstract: In this paper, a constrained control approach to variable speed limit (VSL) control for macroscopic partial differential equations (PDE) traffic models is developed. Control Lyapunov function (CLF) theory for ordinary differential equations (ODE) is extended to account for spatially and temporally varying states and control inputs. The stabilizing CLF is then unified with safety constraints through the introduction of spatially varying control barrier...

arXiv:2512.04823v2 Announce Type: replace Abstract: In this paper, a constrained control approach to variable speed limit (VSL) control for macroscopic partial differential equations (PDE) traffic models is developed. Control Lyapunov function (CLF) theory for ordinary differential equations (ODE) is extended to account for spatially and temporally varying states and control inputs. The stabilizing CLF is then unified with safety constraints through the introduction of spatially varying control barrier functions (sCBF). These methods are applied to in-domain VSL control of the Lighthill-Whitham-Richards (LWR) model to regulate traffic density to a desired profile while ensuring the density remains below prescribed limits enforced by the sCBF. Results show that incorporating constrained control minimally affects the stabilizing control input while successfully maintaining the density with the defined safe set.
Constrained Control of (ORG) Spatial Control Barrier Functions arXiv:2512.04823v2 (ORG) VSL (ORG) CLF (ORG) the Lighthill-Whitham-Richards (ORG) LWR (ORG)
Originally published by arXiv CS Read original →

Related Stories

Starlink rival Qianfan hits satellite milestone, but is it too slow and costly?

Starlink rival Qianfan hits satellite milestone, but is it too slow and costly? Constellation now has 201 satellites in orbit but the company is said to be under pressure to ramp up launches The constellation now has 201 satellites after a successful launch on board a Zhuque-2E rocket from the Gobi Desert at 4.23pm Beijing time on Tuesday. The mission delivered Qianfan DTC-01 – a direct-to-cell test satellite – alongside a satellite from China Mobile, state broadcaster CCTV reported.

South China Morning Post 59m ago

Violent Anti-Immigration Protests Erupt Across Northern Ireland

Here Are the Best Ways to Clean Stains and Save Your Money 04:47 Serena Williams Wins After 4 Years Away From Competition 00:25 Pope Leo XIV to Hold Mass at Spain’s Iconic Basilica 02:34 Now Playing Violent Anti-Immigration Protests Erupt Across Northern Ireland 00:26 UP NEXT Who Are the Nuns Praying for the San Antonio Spurs at Games? 01:12

NBC News 1h ago

Wall Street Braces for SpaceX With Stress Test, ‘Watch Parties’

Wall Street Braces for SpaceX With Stress Test, ‘Watch Parties’ Wall Street has spent months debating how much SpaceX is worth. Behind the scenes, a different challenge has occupied the institutions responsible for bringing it public: preparing the plumbing systems needed to support what could become the largest IPO in history. S&P Global Inc.’s Equity Bookbuild group, which helps underwriters capture and allocate investor demand during initial public offerings, has spent weeks expanding the...

Bloomberg Markets 1h ago

NASA names crew for Artemis III lunar lander rehearsal

NASA has named the four astronauts set to fly the Artemis III mission in an announcement that raised as many questions as it answered. The quartet is comprised of a Space Shuttle veteran, Randy Bresnik, as commander, and the European Space Agency's Luca Parmitano, whose helmet filled with water during an International Space Station (ISS) spacewalk. NASA astronauts Frank Rubio and Andre Douglas will serve as mission specialists.

The Register 2h ago