Guy Cohen CERMICS-ENPC History & Motivations cohen-g/documents/POSTA06/Base.pdf A Tour of...

Guy Cohen CERMICS-ENPC History & Motivations cohen-g/documents/POSTA06/Base.pdf A Tour of Systems with
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Transcript of Guy Cohen CERMICS-ENPC History & Motivations cohen-g/documents/POSTA06/Base.pdf A Tour of...

  • A Tour of Systems with the Max-Plus Flavor Guy Cohen CERMICS-ENPC

    http://maxplus.org guy.cohen@mail.enpc.fr

    History & Motivations

    System & Control Theory Geometry

    Algebra

    #[[γ, δ]]

    • Almost half a century of algebra and about 25 years of (max,+) system & control theory

    • Discrete event systems

    • Other motivations

    • Idempotent semimodules

    • Skew projections and regular matrices

    • Orthogonal projections and separation • Convexity

    • Idempotent semirings

    • Solving equations & residuation theory

    • Counter and dater representations

    • Control problems

  • A Tour of Systems with the Max-Plus Flavor Guy Cohen CERMICS-ENPC

    http://maxplus.org guy.cohen@mail.enpc.fr

    History & Motivations

    System & Control Theory Geometry

    Algebra

    #[[γ, δ]]

    • Almost half a century of algebra and about 25 years of (max,+) system & control theory

    • Discrete event systems

    • Other motivations

    • Idempotent semimodules

    • Skew projections and regular matrices

    • Orthogonal projections and separation • Convexity

    • Idempotent semirings

    • Solving equations & residuation theory

    • Counter and dater representations

    • Control problems

    mailto:guy.cohen@mail.enpc.fr

  • A Tour of Systems with the Max-Plus Flavor Guy Cohen CERMICS-ENPC

    http://maxplus.org guy.cohen@mail.enpc.fr

    History & Motivations

    System & Control Theory Geometry

    Algebra

    #[[γ, δ]]

    • Almost half a century of algebra and about 25 years of (max,+) system & control theory

    • Discrete event systems

    • Other motivations

    • Idempotent semimodules

    • Skew projections and regular matrices

    • Orthogonal projections and separation • Convexity

    • Idempotent semirings

    • Solving equations & residuation theory

    • Counter and dater representations

    • Control problems

  • A Tour of Systems with the Max-Plus Flavor Guy Cohen CERMICS-ENPC

    http://maxplus.org guy.cohen@mail.enpc.fr

    History & Motivations

    System & Control Theory Geometry

    Algebra

    #[[γ, δ]]

    • Almost half a century of algebra and about 25 years of (max,+) system & control theory

    • Discrete event systems

    • Other motivations

    • Idempotent semimodules

    • Skew projections and regular matrices

    • Orthogonal projections and separation • Convexity

    • Idempotent semirings

    • Solving equations & residuation theory

    • Counter and dater representations

    • Control problems

  • A Tour of Systems with the Max-Plus Flavor Guy Cohen CERMICS-ENPC

    http://maxplus.org guy.cohen@mail.enpc.fr

    History & Motivations

    System & Control Theory Geometry

    Algebra

    #[[γ, δ]]

    • Almost half a century of algebra and about 25 years of (max,+) system & control theory

    • Discrete event systems

    • Other motivations

    • Idempotent semimodules

    • Skew projections and regular matrices

    • Orthogonal projections and separation • Convexity

    • Idempotent semirings

    • Solving equations & residuation theory

    • Counter and dater representations

    • Control problems

    11: 12: 13: 21: 22: 31: 32: 33: Ouvrir: 41: 42: 44: 43: Geometry: Algebra: masque: History: System: mail: