The document discusses the field of control and dynamical systems (CDS) and its goal of understanding universal laws and architectures across diverse applications and mathematics. CDS aims to provide a "core" interface between domain experts and diverse tools/mathematics, and between mathematics and diverse application drivers. It explores architectural concepts like constraints that deconstrain and universal organizational strategies to flexibly achieve performance. The document also compares CDS to other fields like complexity science and envisions CDS one day achieving deep, universal impact across applications, mathematics and practical problems.
7. CDS
Diverse
mathematics
Math (not just
applied) has “core”
interface to diverse
application drivers
ODE/PDE
Automata
Analysis
Optimization
Prob&Stats
Operator Th
Diff Geom
Alg Geom
Cmp Cplxty
8. CDS as architecture
• Architecture= “constraints that deconstrain”
– Constraint = CDS core concepts and math
– Deconstraint = connections between new applications
and (also possibly new) math
• How to explain this?
• Laws: Universal constraints on achievable
robust performance and efficiency
• Architectures: Universal organizational
strategies to flexibly achieve what is possible
• Case studies: concrete and familiar examples to
illustrate “universals”
8
9. Core protocols
• From Architecture slides, understanding
the “OS” is difficult and essential
• But term “OS” seems to confuse
• Replace with “core protocols”?
• Highly conserved/constrained core (knot)
• Highly diverse/deconstrained edges
• What is “CDS” in this context?
9
19. “Pasteur’s quadrant?” (Donald Stokes)
Low
High
Edison
Bohr
Practical
use
Fundamental
Understanding
Low
High
Relative
emphasis
Use inspired
basic research
(Pasteur)
35. Caveats
• Many ideas are classic “robust control”,
but much of the organization (the
architecture) is fairly new
• Motivating case studies also new
• Many rough edges
• Nobody is working on it quite like this
• We want to change that
Editor's Notes
Notes: Please provide additional information here.
Notes: Please provide additional information here.