Embed Size (px)
Citation preview
A Tour of Systems with the Max-Plus FlavorGuy Cohen CERMICS-ENPC
http://maxplus.org [email protected]
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 FlavorGuy Cohen CERMICS-ENPC
http://maxplus.org [email protected]
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 FlavorGuy Cohen CERMICS-ENPC
http://maxplus.org [email protected]
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 FlavorGuy Cohen CERMICS-ENPC
http://maxplus.org [email protected]
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 FlavorGuy Cohen CERMICS-ENPC
http://maxplus.org [email protected]
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
