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John Doyle 道陽 Jean-Lou Chameau Professor Control and Dynamical Systems, EE, & BioE

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 , S y n e s t h e s i a , spacecraft, statistical mechanics. John Doyle 道陽

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John Doyle 道陽 Jean-Lou Chameau Professor Control and Dynamical Systems, EE, & BioE

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  1. Universal laws and architectures: Theory and lessons frombrains, bugs,nets, grids, planes, docs, fire, bodies, fashion, earthquakes, turbulence, music, buildings, cities, art, running, throwing, Synesthesia,spacecraft, statistical mechanics John Doyle 道陽 Jean-Lou Chameau Professor Controland Dynamical Systems, EE, & BioE 1 # Ca tech

  2. A minimal prologue

  3. Diverse applications Aerospace Robotics Biology Fluids Physics Medicine Internet Smartgrid Ecology Neuroscience Tuesday Wednesday Thursday Monday

  4. Diverse applications Diverse mathematics ODE/PDE Automata Analysis Optimization Prob&Stats Operator Th Diff Geom AlgGeom CmpCplxty Aerospace Robotics Biology Fluids Physics Medicine Internet Smartgrid Ecology Neuroscience Details are not serious

  5. Diverse mathematics (not just “applied”) Diverse applications (not just engineering) ODE/PDE Automata Analysis Optimization Prob&Stats Operator Th Diff Geom AlgGeom CmpCplxty Aerospace Robotics Biology Fluids Physics Medicine Internet Smartgrid Ecology Neuroscience CDS “Universal laws and architectures”

  6. Diverse applications Domain experts have “core” interface to diverse math and tools Aerospace Robotics Biology Fluids Physics Medicine Internet Smartgrid Ecology Neuroscience CDS

  7. Diverse mathematics Math (not just applied) has “core” interface to diverse application drivers ODE/PDE Automata Analysis Optimization Prob&Stats Operator Th Diff Geom AlgGeom CmpCplxty CDS

  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”

  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?

  10. Horizontal App Transfer Slow Apps OS HW Horizontal Hardware Transfer Fast Inflexible Flexible Special General

  11. Tradeoffs Slow Apps OS HW Fast Inflexible Flexible Special General

  12. Tradeoffs = “laws?” Slow Apps OS HW Fast Inflexible Flexible Special General

  13. Layered architectures vision Prefrontal Learn Slow Motor Fast Sense HGT DNA repair Mutation DNA replication Transcription Translation Metabolism Signal Apps OS HW Dig. Lump. Distrib. OS HW Dig. Lump. Distrib. Digital Lump. Distrib. Lumped Distrib. Distrib. Evolve VOR Reflex Fast Inflexible Flexible Special General

  14. Architecture = Constraints that deconstrain Horizontal App Transfer Deconstrained Constrained OS Deconstrained Horizontal Hardware Transfer

  15. “Hourglass” Universal architectures Horizontal Transfer Deconstrained Constrained Deconstrained Horizontal Transfer

  16. “Bowtie” Constrained Deconstrained Deconstrained Horizontal versus vertical is an arbitrary convention.

  17. Diverse mathematics (not just “applied”) Diverse applications (not just engineering) ODE/PDE Automata Analysis Optimization Prob&Stats Operator Th Diff Geom AlgGeom CmpCplxty Aerospace Robotics Biology Fluids Physics Medicine Internet Smartgrid Ecology Neuroscience CDS “Universal laws and architectures”

  18. “Pasteur’s quadrant?” (Donald Stokes) Typically poor choice of colors and font sizes

  19. “Pasteur’s quadrant?” (Donald Stokes) High Use inspired basic research (Pasteur) Bohr Fundamental Understanding Edison Low High Low Practical use Relative emphasis

  20. “Pasteur’s quadrant?” Redrawn Pasteur aimed for both Low Edison Fundamental Understanding Pasteur Bohr High High Low Relative emphasis Practical use

  21. CDS Math Apps Fundamental Understanding Practical use

  22. CDS’ quadrant? Specific Apps Scope CDS Math Deep, Universal Now Later Practical impact

  23. Related but somewhat flipped SW Apps Slow OS HW Fast Inflexible Flexible Special General Specific Apps Scope CDS Math Deep, Universal Later Now Practical impact

  24. Circa 1975 Specific Apps Modern control theory Scope Math Deep, Universal Now Later Practical impact

  25. Complexity science Circa 1990 Specific Apps Modern control theory Robust control theory Scope Math Deep, Universal Now Later Practical impact

  26. Nothing 2014 Network science Complexity science Apps Specific Scope CDS Math Deep, Universal Now Later Never Practical impact

  27. Nothing Network science Complexity science Humans love this corner! Specific Scope Deep, Universal Now Later Never Practical impact

  28. Network science Near future? Complexity science Specific Apps CMS CDS Math Deep, Universal Now Later Practical impact

  29. Network science The dream? Complexity science Specific CMS Apps CDS Math Deep, Universal Now Later Practical impact

  30. SW Apps Slow OS Universal laws Horizontal Transfer HW Deconstrained Fast Inflexible Flexible Special Constrained General Horizontal Transfer Deconstrained Universal architectures

  31. Layered architectures vision Prefrontal Learn Slow Motor Fast Sense HGT DNA repair Mutation DNA replication Transcription Translation Metabolism Signal Apps OS HW Dig. Lump. Distrib. OS HW Dig. Lump. Distrib. Digital Lump. Distrib. Lumped Distrib. Distrib. Evolve VOR Reflex Fast Inflexible Flexible Special General

  32. Diverse applications Morning “core” interface to minimal math and tools Aerospace Robotics Biology Fluids Physics Medicine Internet Smartgrid Ecology Neuroscience CDS Undergradmath Universal laws and architectures

  33. Afternoon Diverse mathematics Cutting edge theory foundations Networks, Distributed ODE/PDE Automata Analysis Optimization Prob&Stats Operator Th Diff Geom AlgGeom CmpCplxty CDS

  34. Network science The dream? Complexity science Specific CMS Apps CDS Math Deep, Universal Now Later Practical impact

  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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