# Technical Reports - Elijah Polak

On the Off-Label Use of Outer Approximations: An External Active Set Strategy (EECS-2007-127)

Hoam Chung, Elijah Polak and S. Shankar Sastry

An External Active-Set Strategy for Solving Optimal Control Problems (EECS-2007-90)

Elijah Polak, Hoam Chung and S. Shankar Sastry

Generalized pattern search algorithms with adaptive precision function evaluations (M01/30)

Elijah Polak and Michael Wetter

First-Order Algorithms for Optimization Problems with a Maximum Eigenvalue Singular Value Cost and/or Constraints (M00/17)

Elijah Polak

Consistent Approximations and Approximate Functions and Gradients in Optimal Control (M00/14)

O. Pironneau and Elijah Polak

A Family of Projected Descent Methods for Optimization Problems with Simple Bounds (M95/44)

A. Schwartz and Elijah Polak

On the Use of Consistent Approximations for the Optimal Design of Beams (M94/22)

C.K. Neto and Elijah Polak

Consistent Approximations for Optimal Control Problems Based on Runge-Kutta Integration (M94/21)

A. Schwartz and Elijah Polak

On the Use of Consistent Approximations in the Solution of Semi-Infinite Optimization and Optimal Control Problems (M92/36)

Elijah Polak

A Secant Method Based on Cubic Interpolation for Solving One Dimensional Optimization Problems (M91/91)

C. Kirjner Neto and E. Polak

Moving Horizon Control of Linear Systems with Input Saturation and Plant Uncertainty (M91/84)

Elijah Polak and T.H. Yang

Moving Horizon Control of Linear Systems with Input Saturation, Disturbances, and Plant Uncertainty (M91/83)

Elijah Polak and T.H. Yang

Moving Horizon Control of Nonlinear Systems with Input Saturation, Disturbances, and Plant Uncertainty (M91/82)

T.H. Yang and Elijah Polak

Receding Horizon Control of Linear Systems with Input Saturation, Disturbances, and Plant Uncertainty (M91/60)

Elijah Polak and T.H. Yang

Multistart Method with Estimation Scheme for Global Satisfycing Problems (M90/54)

L. He and Elijah Polak

A Generalized Quadratic Progamming-Based Phase I-Phase II Method for Inequality- Constrained Optimization (M90/46)

E.J. Wiest and Elijah Polak

A Method of Centers Based on Barrier Functions for Solving Optimal Control Problems with Continuum State and Control Constraints (M90/31)

Elijah Polak, T.H. Yang and D.Q. Mayne

Finite-Termination Schemes for Solving Semi-Infinite Satisfying Problems (M90/13)

Elijah Polak and L. He

On the Optimal Control of System Described by Evolution Equations (M89/113)

T.E. Baker and Elijah Polak

Rate Preserving Discretization Strategies for Semi-Infinite Programming and Optimal Control (M89/112)

Elijah Polak and L. He

On the Rate of Convergence of Two Minimax Algorithms (M89/111)

E.J. Wiest and Elijah Polak

An E-Active Barrier Function Method for Solving Minimax Problems (M89/94)

J.E. Higgins and E. Polak

On the Extension of Newton's Method to Semi-Infinite Minimax Problems (M89/92)

Elijah Polak, D.Q. Mayne and J.E. Higgins

On the Linear Convergence of the Pshenichnyi Method of Linearizations (M89/55)

E.J. Wiest and Elijah Polak

Notes on Fundamentals of Optimization for Engineers (M89/40)

Elijah Polak

An Algorithm for Optimal Slewing of Flexible Structures (M89/37)

T.E. Baker and Elijah Polak

Design of a Finite Dimensional Stabilizing Compensator for a Flexible Beam with Point Actuators and Sensors (M89/33)

Y-P. Harn and Elijah Polak

Nonsmooth Optimization Algorithms for the Design of Controlled Flexible Structures (M89/10)

Elijah Polak

A Unified Phase I-Phase II Method of Feasible Directions for Semi-Infinite Optimization (M89/7)

Elijah Polak and L. He

On the Design of Finite Dimensional Stabilizing Compensators for Infinite Dimensional Feedback-Systems Via Semi-Infinite Optimization (M89/6)

P-Y. Harn and Elijah Polak

A Barrier Function Method for Minimax Problems (M88/64)

Elijah Polak, J.E. Higgins and D.Q. Mayne

Proportional-Plus-Integral Stabilizing Compensators for a Class of MIMO Feedback Systems with Infinite-Dimensional Plants (M88/57)

Y-P. Harn and Elijah Polak

A Variable Metric Technique for the Solution of Affinely Parametrized Nondifferentiable Optimal Design Problems (M88/42)

Elijah Polak and E.J. Wiest

An Optimal Diagonalization Strategy for the solution of a Class of Optimal Design Problems (M88/41)

L. He and Elijah Polak

Proportional-Plus-Integral Stabilizing Compensators for a Class of MIMO Feedback Systems with Infinite-Dimensional Plants (M88/34)

Y-P. Harn and E. Polak

Minimizing Pseudo-Convex Functions on Convex Compact Sets (M88/22)

J.E. Higgins and Elijah Polak

On the Design of Finite Dimensional Stabilizing Compensators for Infinite Dimensional Feedback-Systems Via Semi-Infinite Optimization (M88/17)

Y-P. Harn and Elijah Polak

Minimax Algorithms for Structural Optimization (M88/4)

Elijah Polak

A Combined Deterministic and Random Optimization Algorithm for the Placement of Macro-Cells (M87/86)

S. Daijavad, Elijah Polak and R-S. Tsay

Computational Experiments in the Optimal Slewing of Flexible Structures (M87/72)

T.E. Baker and Elijah Polak

Algorithms for Optimal Design of Feedback Compensators (M87/60)

Elijah Polak and S.E. Salcudean

Algorithms for Optimal Design of Feedback Compensators (M87/48)

Elijah Polak and S.E. Salcudean

A Superlinearly Convergent Algorithm for Min-Max Problems (M86/103)

Elijah Polak, D.Q. Mayne and J.E. Higgins

On the Design of Stabilizing Compensators Via Semi-Infinite Optimization (M86/102)

Elijah Polak and S. Wuu

A Diagonalization Technique for the Computation of Sensitivity Functions of Linear Time-Invariant Systems (M86/13)

T.L. Wuu, R.G. Becker and Elijah Polak

On the Efficient Formulation of Worst Case Control System Design (M85/71)

Elijah Polak and D.M. Stimler

An Exact Penalty Function Algorithm for Control Problems with State and Control Constraints (M85/52)

D.Q. Mayne and Elijah Polak

Algorithms for Optimization Problems with Exclusion Constraints (M85/33)

D. Q. Mayne and Elijah Polak

On the Mathematical Foundations of Nondifferentiable Optimization in Engineering Design (M85/17)

Elijah Polak

A Sequential Optimal Redesign Procedure for Linear Feedback Systems (M85/15)

Elijah Polak, S. Salcudean and D.Q. Mayne

Control System Design via Semi-Infinite Optimization: A Review (M84/35)

Elijah Polak, D.Q. Mayne and D.M. Stimler

Theoretical and Software Aspects of Optimization-Based Control System Design (M84/23)

Elijah Polak and D.Q. Mayne

Notes on the Mathematical Foundations of Nondifferentiable Optimization in Engineering Design (M84/15)

Elijah Polak

Outer Approximation Algorithm for Non- Differentiable Optimization Problems (M83/40)

D.Q. Mayne and Elijah Polak

Optimization-Based Design of SISO Control Systems with Uncertain Plant: Problem Formulation (M83/16)

Elijah Polak and D.M. Stimler

A Modified Nyquist Stability Test for Use in Computer-Aided Design (M83/11)

Elijah Polak

Computer-Aided Design of Structures Subject to Eigenvalue Inequality Constraints (M82/91)

Y.Y. Wardi and E. Polak

Non-Differentiable Optimization Via Adaptive Smoothing (M82/87)

D.Q. Mayne and E. Polak

Delight-MIMO: An Interactive, Optimization-Based Multivariable Control System Design Package (M82/53)

D.G. Mayne, W.T. Nye, E. Polak, P. Siegal and T. Wuu

Semi-infinite Optimization in Engineering Design (M82/50)

E. Polak

Algorithm Models for Nondifferentiable Optimization (M82/34)

E. Polak and D.Q. Mayne

Study of Minimizing Sequences (M82/22)

E. Polak and Y.Y. Wardi

Interoptdyn-siso: A Tutorial (M81/99)

E. Polak, K.J. Astrom and D.Q. Mayne

Interoptdyn-siso: A Tutorial (M81/97)

E. Polak and K.J. Astrom

On Globally Stabilized Quasi-Newton Methods for Inequality Constrained Optimization Problems (M81/91)

E. Polak and A.L. Tits

On the Extension of Constrained Optimization Algorithms From Differentiable to Nondifferentiable Problems (M81/78)

E. Polak, D.Q. Mayne and Y. Wardi

Delight: An Optimization-Based Computer-Aided Design System (M81/19)

W. Nye, E. Polak, A. Sangiovanni-Vincentelli and A. Tits

A Recursive Quadratic Programming Algorithm for Semi-Infinite Optimization Problems (M80/50)

E. Polak and A.L. Tits

A Non-differentiable Optimization Algorithm for the Design of Control Systems Subject to Singular Value Inequalities Over a Frequency Range (M80/41)

E. Polak and Y. Wardi

An Implementable Algorithm for the Optimal Design Centering, Tolerancing and Tuning Problem (M79/33)

E. Polak

Algorithms for Optimal Design (M80/18)

E. Polak

A Software System for Optimization Based Interactive Computer-Aided Design (M80/14)

M.A. Bhatti, T. Essebo, W. Nye, K.S. Pister, E. Polak, A. Sangiovanni-Vincentelli and A. Tits

Design of Nonlinear Feedback Controllers (M80/12)

E. Polak and D.Q. Mayne

A Quadratically Convergent Algorithm for Solving Infinite Dimensional Inequalities (M80/11)

D.Q. Mayne and E. Polak

On the Solution of Singular Value Inequalities Over a Continuum of Frequencies (M80/8)

E. Polak and D.Q. Mayne

A Globally Convergent, Implementable Multiplier Method with Automatic Penalty Limitation (M79/52)

E. Polak

Algorithms for Computer Aided Design of Control Systems by the Method of Inequalities (M79/48)

E. Polak and D.Q. Mayne

A Superlinearly Convergent Algorithm for Constrained Optimization Problems (M79/13)

D.Q. Mayne and E. Polak

Solving Nonlinear Inequalities in a Finite Number of Iterations (M79/12)

D.Q. Mayne, E. Polak and A.J. Heunis

Theoretical and Computational Aspects of the Optimal Design Centering, Tolerancing and Tuning Problem (M79/6)

E. Polak and A. Sangiovanni-Vincentelli

On the Finite Solution of Nonlinear Inequalities (M78/80)

E. Polak and D.Q. Mayne

A Derivative-Free Algorithm for a Class of Infinitely Constrained Problems (M78/75)

R. Trahan and E. Polak

An Interactive Rectangle Elimination Method for Bi-Objective Decision-Making (M78/50)

A.N. Payne and E. Polak

New Convergence Theorems For a Class of Feasible Directions Algorithms (M78/25)

E. Polak and S. Tishyadhigama

A Robust Secant Method for Optimization Problems with Inequality Constraints (M79/2)

E. Polak and D.Q. Mayne

A Comparative Study of Several General Convergence Conditions for Algorithms Modeled by Point-to-Set Maps (M77/78)

S. Tishyadhigama, E. Polak and R. Klessig

On Constraint Dropping Schemes and Optimality Functions For a Class of Outer Approximations Algorithms (M77/68)

C. Gonzaga and E. Polak

An Improved Algorithm for Optimization Problems with Functional Inequality Constraints (M78/56)

C. Gonzaga, E. Polak and R. Trahan

A Multiplier Method with Automatic Limitation of Penalty Growth (M77/54)

T. Glad and E. Polak

Combined Phase I, Phase II Methods of Feasible Directions (M77/39)

E. Polak, R. Trahan and D.Q. Mayne

An Outer Approximations Algorithm for Computer Aided Design Problems (M77/10)

D.Q. Mayne, E. Polak and R. Trahan

An Exact Penalty Function Algorithm for Optimal Control Problems with Control and Terminal Equality Constraints (M614)

D.Q. Mayne and E. Polak

On Multicriteria Optimization (M566)

E. Polak and A.N. Payne

A Second Order Method for the General Nonlinear Programming Problem (M562)

H. Mukai and E. Polak

A Second Order Method for Unconstrained Optimization (M561)

H. Mukai and E. Polak

On the Global Stabilization of Locally Convergent Algorithms for Optimization and Root Finding (M491)

E. Polak

On the Use of Approximations in Algorithms for Optimization Problems with Equality and Inequality Contraints (M489)

H. Mukai and E. Polak

An Algorithm For Optimization Problems with Functional Inequality Constraints (M456)

E. Polak and D.Q. Mayne

A Quadratically Convergent Primal-Dual Algorithm with Global Convergence Properties for Solving Optimization Problems with Equality Constraints (Revised) (M455)

H. Mukai and E. Polak

Newton Derived Methods for Nonlinear Equations and Inequalities (M449)

E. Polak and I. Teodoru

Related Controls and the Convergence of Optimal Control Algorithms (M424)

L.J. Williamson and E. Polak

On the Use of Optimization Algorithms in the Design of Linear Systems (M377)

E. Polak

A Modified Secant Method for Unconstrained Minimization (M373)

E. Polak

A Globally Converging Secant Method, with Applciations to Boundary Value Problems (M374)

E. Polak

A Historical Survey of Computational Methods (M356)

E. Polak

Rate of Convergence of a Class of Methods of Feasible Directions (M301)

O. Pironneau and E. Polak

A Dual Method for Optimal Control Problems with Initial and Final Boundary Constraints (M299)

O. Pironneau and E. Polak

An Adaptive Algorithm for Unconstrained Optimization with an Application to Optimal Control (M297)

R. Klessig and E. Polak

On the Rate of Convergence of Certain Methods of Centers (M296)

O. Pironneau and E. Polak

A Method of Feasible Directions Using Function Approximations, With Applications to Min Max Problems (M287)

R. Klessig and E. Polak

Efficient Implementations of the Polak-Ribiere Conjugate Gradient Algorithm (M279)

R. Klessig and E. Polak

On the Use of Models in the Synthesis of Optimization Algorithms (M274)

E. Polak

Abstract Models for the Synthesis of Optimization Algorithms (M268)

G. Meyer and E. Polak

A Decomposition Algorithm for Solving a Class of Optimal Control Problems (M263)

G. Meyer and E. Polak

Computational Methods in Discrete Optimal Control and Nonlinear Programming: A Unified Approach (M261)

E. Polak

On the Convergence of Optimization Algorithms (M256)

E. Polak

On the Removal of Ill Conditioning Effects In the Computation of Optimal Controls (M235)

E. Polak

On Second-Order Necessary Conditions of Optimality (M234)

E.J. Messerli and E. Polak

An Algorithm for Minimum Energy Control (M225)

E. Polak and M. Deparis

Second Order Conditions of Optimally For Constrained Optimization Problems in Finite Dimensional Spaces (M224)

E. Polak and E.J. Messerli

An Algorithm for Computing the Jordan Canonical Form of a Matrix (M223)

E. Polak

On Finite Dimensional Approximations to a Class of Games (M211)

J-P Jacob and E. Polak

Constrained Minimization Under Vector-Valued Criteria in Linear Topological Spaces (M191)

N.O. Da Cunha and E. Polak

Constrained Minimization Under Vector-Valued Criteria in Finite Dimensional Spaces (M188)

N.O. Da Cunha and E. Polak

Identification of Linear Discrete Time Systems Using the Instrumental Variable Method (M187)

K.Y. Wong and E. Polak

Equivalence Relations for the Classification and Solution of Optimal Control Problems (M147)

C.D. Cullum and E. Polak

Constrained Minimization Problems In Finite Dimensional Spaces (M149)

M. Canon, C. Cullum and E. Polak

An Algorithm for Reducing a Linear, Time-Invariant Differential System to State Form (M140)

E. Polak

Some Sufficient Conditions for Continuous Linear-Programming (M123)

A. Larsen and E. Polak

Theory of Optimum Discrete Time Systems (M119)

H. Halkin, B.W. Jordan, E. Polak and J.B. Rosen

Analog Circuits for Energy and Fuel Optimal Control of Linear Discrete Systems (M95)

M.D. Canon and E. Polak

Optimal Control of Asynchronous Discrete-time Systems (M49)

B.W. Jordan and E. Polak

Theory of a Class of Discrete Optimal Control Systems (M47)

B.W. Jordan and E. Polak