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MATH 574: Optimal Control.
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0.00 - 3.00 Credits
Iowa State University
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(3-0) Cr. 3. S. Prereq: E E 577. The optimal control problem. Variational approach. Pontryagin's principle. Hamilton-Jacobi equation. Dynamic programming. Time-optimal, minimum fuel, minimum energy control systems. The regulator problem. Structures and properties of optimal controls.
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MATH 574 - Optimal Control.
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MATH 575: Introduction to Robust Control.
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0.00 - 3.00 Credits
Iowa State University
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(3-0) Cr. 3. Prereq : E E 577. Introduction to modern robust control. Model and signal uncertainty in control systems. Uncertainty description. Stability and performance robustness to uncertainty. Solutions to the H2, Hoo, and l1 control problems. Tools for robustness analysis and synthesis.
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MATH 575 - Introduction to Robust Control.
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MATH 576: Digital Feedback Control Systems
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0.00 - 3.00 Credits
Iowa State University
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(Cross-listed with Aer E, E E, M E). (3-0) Cr. 3. F. Prereq : E E 475 or Aer E 432 or M E 411 or 414 or Math 415; and Math 267. Sampled-data, discrete data, and the z-transform. Design of digital control systems using transform methods: root locus, frequency response and direct design methods. Design using state-space methods. Controllability, observability, pole placement, state estimators. Digital fi lters in control systems. Microcomputer implementation of digital fi lters. Finite wordlength effects. Linear quadratic optimal control in digital control systems. Simulation of digital control systems.
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MATH 576 - Digital Feedback Control Systems
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MATH 577: Linear Systems.
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0.00 - 3.00 Credits
Iowa State University
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(3-0) Cr. 3. F. Prereq : E E 324 or Aer E 331 or M E 414 or Math 415; and Math 307. State variable and input-output descriptions of linear continuoustime and discrete-time systems. Solution of linear dynamical equations. Controllability and observability of linear dynamical systems. Canonical descriptions of linear equations. Irreducible realizations of rational transfer function matrices. Canonical form dynamical equations. State feedback. State estimators. Decoupling by state feedback. Design of feedback systems. Stability of linear dynamical systems.
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MATH 577 - Linear Systems.
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MATH 578: Nonlinear Systems.
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0.00 - 3.00 Credits
Iowa State University
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(3-0) Cr. 3. S. Prereq: E E 577. Classifi cation of nonlinear control systems. Existence and uniqueness of solutions. Approximate analysis methods. Periodic orbits. Concept of stability and Lyapunove stability theory. Absolute stability of feedback systems. Input-and output stability. Passivity.
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MATH 578 - Nonlinear Systems.
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MATH 590: Special Topics
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3.00 Credits
Iowa State University
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Cr. arr. Repeatable.
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MATH 590 - Special Topics
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MATH 597: Introductory Computational Structural Biology.
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0.00 - 3.00 Credits
Iowa State University
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(3-0) Cr. 3. S. Prereq: Permission of instructor. Mathematical and computational approaches to protein structure prediction and determination. Topics include molecular distance geometry, potential energy minimization, and molecular dynamics simulation.
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MATH 597 - Introductory Computational Structural Biology.
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MATH 599: Creative Component
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3.00 Credits
Iowa State University
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Cr. arr.
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MATH 599 - Creative Component
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MATH 601: Mathematical Logic I
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0.00 - 3.00 Credits
Iowa State University
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Cr. 3. Alt. F., offered 2008. Prereq : 504. First semester of full-year course. Completeness and compactness of propositional and predicate logic, incompleteness and undecidability of set theory and arithmetic, Goedel's theorems, recursive functions, computability, models, ultraproducts, and ultralimits.
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MATH 601 - Mathematical Logic I
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MATH 602: Mathematical Logic II
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0.00 - 3.00 Credits
Iowa State University
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Cr. 3. Alt. S., offered 2009. Prereq : 601. Continuation of Math 601.
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MATH 602 - Mathematical Logic II
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