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Control and systems Theory is a very active research area at the cross-roads of many disciplines of mathematics with engineering applications. On one side, both old and new, very deep results from a wide area of pure mathematics (e.g. functional analysis, differential and algebraic geometry, stochastics and probability, ordinary and partial differential equations) are utilized to solve engineering problems of practical importance. On the other hand, control theory has built a strong machinery of its own, contributing major results and methodologies to pure mathematics. Research by faculty at ASU is on the cutting edge in several areas in control and systems theory, including adaptive nonlinear and infinite dimensional control, (differential) geometry of highly nonlinear systems, stochastic partial differential equations,
and applications to vision and pattern recognition.