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universal laws.ppt
- 1. John Doyle 道陽 Jean-Lou Chameau Professor Control and Dynamical Systems, EE, & BioE tech 1 # Ca Universal laws and architectures: Theory and lessons from brains, bugs, nets, grids, planes, docs, fire, bodies, fashion, earthquakes, turbulence, music, buildings, cities, art, running, throwing, Synesthesia, spacecraft, statistical mechanics
- 4. Diverse applications Diverse mathematics Aerospace Robotics Biology Fluids Physics Medicine Internet Smartgrid Ecology Neuroscience ODE/PDE Automata Analysis Optimization Prob&Stats Operator Th Diff Geom Alg Geom Cmp Cplxty Details are not serious
- 5. CDS Diverse applications (not just engineering) Diverse mathematics (not just “applied”) ODE/PDE Automata Analysis Optimization Prob&Stats Operator Th Diff Geom Alg Geom Cmp Cplxty “Universal laws and architectures” Aerospace Robotics Biology Fluids Physics Medicine Internet Smartgrid Ecology Neuroscience
- 6. CDS Diverse applications Domain experts have “core” interface to diverse math and tools Aerospace Robotics Biology Fluids Physics Medicine Internet Smartgrid Ecology Neuroscience
- 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
- 13. Slow Fast Flexible Inflexible General Special Apps OS HW Dig. Lump. Distrib. OS HW Dig. Lump. Distrib. Digital Lump. Distrib. Lumped Distrib. Distrib. HGT DNA repair Mutation DNA replication Transcription Translation Metabolism Signal Sense Motor Prefrontal Fast Reflex vision VOR Layered architectures
- 14. OS Horizontal App Transfer Horizontal Hardware Transfer Constrained Deconstrained Deconstrained Architecture = Constraints that deconstrain
- 16. Constrained Deconstrained Deconstrained “Bowtie” Horizontal versus vertical is an arbitrary convention.
- 17. CDS Diverse applications (not just engineering) Diverse mathematics (not just “applied”) ODE/PDE Automata Analysis Optimization Prob&Stats Operator Th Diff Geom Alg Geom Cmp Cplxty “Universal laws and architectures” Aerospace Robotics Biology Fluids Physics Medicine Internet Smartgrid Ecology Neuroscience
- 18. “Pasteur’s quadrant?” (Donald Stokes) Typically poor choice of colors and font sizes
- 19. “Pasteur’s quadrant?” (Donald Stokes) Low High Edison Bohr Practical use Fundamental Understanding Low High Relative emphasis Use inspired basic research (Pasteur)
- 23. Later Deep, Universal Apps CDS Math Practical impact Specific Now Fast Slow Flexible Inflexible General Special SW Apps OS HW Related but somewhat flipped Scope
- 24. Later Deep, Universal Apps Math Specific Now Circa 1975 Modern control theory Practical impact Scope
- 25. Later Deep, Universal Apps Math Specific Now Circa 1990 Complexity science Robust control theory Modern control theory Practical impact Scope
- 31. Slow Fast Flexible Inflexible General Special Apps OS HW Dig. Lump. Distrib. OS HW Dig. Lump. Distrib. Digital Lump. Distrib. Lumped Distrib. Distrib. HGT DNA repair Mutation DNA replication Transcription Translation Metabolism Signal Sense Motor Prefrontal Fast Reflex vision VOR Layered architectures
- 32. CDS Diverse applications “core” interface to minimal math and tools Aerospace Robotics Biology Fluids Physics Medicine Internet Smartgrid Ecology Neuroscience Morning Universal laws and architectures Undergrad math
- 33. CDS Diverse mathematics Networks, Distributed Cutting edge theory foundations ODE/PDE Automata Analysis Optimization Prob&Stats Operator Th Diff Geom Alg Geom Cmp Cplxty Afternoon
- 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
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