01 HARDWARE / SUMMER 2026
Radio kit assembly
& transmission test.
Assembled a radio kit using supplied components and soldering tools, then confirmed working transmission and reception.
AN INDEPENDENT ENGINEERING PRACTICE EST. 2026
HASSAN SHAHID /// ENGINEER + RESEARCHER + FOUNDER
FROM FIRST
PRINCIPLES
TO HARDWARE.
I work where mathematics meets physical systems: geometric control, topology, electromagnetism, and the electronics that make ideas tangible.
CURRENT FOCUSElectronics. Autonomy. Applied physics.
↓ SCROLL TO EXPLORELIVE MATHEMATICAL STUDYFIGURE // 001
REFERENCE FRAME
Ω / 3DMODEL STATUS
ILLUSTRATIVE
Ω / 3DMODEL STATUS
ILLUSTRATIVE
An evolving wireframe torus, a mathematical form rather than a simulation of a physical system.
INDEPENDENT RESEARCH / 2026DESIGNED TO THINK. BUILT TO TEST.28° × SE(2) × H₁
03.INDEPENDENT
MANUSCRIPTS
MANUSCRIPTS
01.HARDWARE PROJECT
FUNCTIONALLY TESTED
FUNCTIONALLY TESTED
SE(2)GEOMETRIC
CONTROL RESEARCH
CONTROL RESEARCH
2026FOUNDED
EXODUS INDUSTRIES
EXODUS INDUSTRIES
00 / THE PHILOSOPHY
I DON'T JUST WANT TO UNDERSTAND THE EQUATION.
I WANT TO BUILD WHAT IT DESCRIBES.
My work starts with a question about how a physical system behaves. I derive a model, interrogate its assumptions, and push toward something measurable. Right now that means independent research in mathematical physics, control systems, and electronics.
The person behind the work ↗01 / SELECTED RESEARCH
THREE QUESTIONS.
THREE DIFFERENT SCALES.
R / 001 ANALYTICAL RESEARCH
ROBOTICS / CONTROL THEORY
Geometric Control, Actuator Feasibility & Algebraic Equilibria
A study of four-wheel X-drive robot kinematics, motor constraints, Lie-group pose errors, and idealized controller behavior.
2026 / MANUSCRIPT↗
R / 002 ANALYTICAL RESEARCH
TOPOLOGICAL DATA ANALYSIS
Persistent Homology & Stochastic Dynamics
Mathematical sensitivity of correlation-derived topology features and stochastic model paths.
2026 / MANUSCRIPT↗
R / 003 LITERATURE SYNTHESIS
MATHEMATICAL PHYSICS
Topology in Electromagnetic Confinement
A literature review connecting mathematical topology and electromagnetic confinement questions.
2026 / LITERATURE REVIEW↗
RESEARCH NOTE // These are independent manuscripts and conceptual studies, not claims of peer review, deployed performance, or experimental validation.
02 / SELECTED ENGINEERING
THINGS THAT
LEAVE THE PAGE.
Models are useful. So is solder. The difference between a hypothesis and a working device is usually a long afternoon of testing.
Radio kit assembly
02 ROBOTICS / RESEARCH
Four-wheel X-drive
control model.
Derived wheel-speed mappings and idealized feedback models, including actuator feasibility and numerical cases. Physical validation remains future work.
Explore the model ↗03 SYSTEMS / CONCEPT DEVELOPMENT
Modular avionics
& electronics.
Early architecture exploration for modular onboard electronics and integration, pursued through Exodus Industries.
The venture ↗03 / PROCESS
UNDERSTAND.
DERIVE. BUILD.
QUESTION.
First-principles engineering isn't the absence of assumptions. It's knowing exactly where they enter the model, then finding out whether reality agrees.
01 /
Frame the problem
Define the system, objective and constraints before optimizing anything.
02 /
Derive the model
Move from governing principles to something calculable and falsifiable.
03 /
Test its boundaries
Examine actuator limits, uncertainty, stability and counterexamples.
04 /
Build and iterate
Turn the model into an experiment when resources and evidence permit.
04 / THE INTERACTIVE LAB ●
DON'T TAKE THE
MODEL'S WORD
FOR IT.
Try the constraints yourself. Adjust an illustrative X-drive velocity command and watch the wheel limits respond. Explore how changing a distance threshold builds a graph.
Open the lab ↗05 / BEYOND THE PORTFOLIO
RESEARCH IS THE
BEGINNING.
NOT THE DESTINATION.
I'm the founder and CTO of Exodus Industries, an early-stage engineering venture exploring electronics, modular avionics and complete physical systems. The long-term goal is to bridge fundamental understanding and integrated engineering.
Explore Exodus Industries ↗06 / OPEN CHANNEL
LET'S MAKE
SOMETHING
REAL.
Research collaboration, technical conversations, interesting engineering problems, or just a good question.
hassan.exodusindustries@gmail.com ↗