SIAM JOURNAL ON CONTROL AND OPTIMIZATION

VOLUME 37, NOUMBER 1, SEPTEMBER 1998 TO NOVEMBER 1998

CONTENTS

1 Smalt Parameter Limit for Discrete-Time Partially Observed Risk-Sensitive Control
Problems
Franceses Aibertini and Paoto Dai Pra

33 High-Order Approximations and Generalized Necessary Conditions.for Optimality
Urszula Ledzewicz and Heinz Schattler

54 On Representations and Integrability of Mathematical Structures in Energy-
Conserving Physical Systems
Morten Dalsmo and Arjan van der Schaft

92 Bounded Power Signal Spaces for Robust Control and Modeling

P. M. Maktia, J. Ff. Partington, T. Nortander

118 Equivalence of Nonlinear Systems to Prime Systems under Generalized Output

Transformations
E. Aranda-Bricaire and R. M. Hirschorn

131 Quadratic Optimal Control of Well-Posed Linear Systems

Olof J. Staffans

165 Successive Approximations of Linear Control Models

John R. Birge and Samer Takriti

177 A New Algorithm for State-Constrained Separated Continuous Linear Programs

Xiaodong Luo and Dimitris Bertsimas

211 A Convex Optimization Approach to the Rational Covariance Extension Problem

Christopher 1. Byrnes, Sergei V. Gusev, and Anders Undquist

230 Robustness with Respect to Delays for Exponential Stability o^ Distributed

Parameter Systems
Richard Rebarber and Stuart Townfey

245 Determination of the Interface Between the Fluids in a Hall-Heroult Cell from
Measurements of Electric Potentials and Currents on the Electrodes
D. J. Cedio-Fengya, M. V. Romerio. and M. Vogelius

278 Convex Optimization Via Feedbacks

Arkadii V. Kryazhimskil

303 Second-Order Conditions for Optimization Problems with Constraints

Jean-Pau! Penot

319 Uniform Stabilization of the Dynamic Elastica by Boundary Feedback

Kazuho tto

330 Erratum: A Uniqueness Result for the Linear System of Elasticity and Its Control

Theoretical Consequences
Enrique Zuazua

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SIAM JOURNAL ON CONTROL & OPTIMIZATION

VOLUME 37,NOUMBER 2, NOVEMBER 1998 TO FEBRUARY 1999

CONTENTS

333 Existence and Approximation of Robust Solutions of Variational Inequality

Problems over Polytopes
Gerard van der Laan. Doff Ta!man, and Zaifu Yang

353 A Variable Metric Proximal Point Algorithm for Monotone Operators

J. V. Burke and Maijian Qian

376 Optimizing the Rate of Decay of Solutions of the Wave Equation Using Genetic

Algorithms: A Counterexample to the Constant Damping Conjecture
Pedro Freitas

388 A Behavioral Approach to Control of Distributed Systems

Hansh K. Pillai and Shiva Shankar

409 pI Control of Diffusion Systems by Using a Finite-Dimensional Controller

Hideki Sano and Yoshiyuki Sakawa

429 Generalized Fourier and Toeplitz Results for Rational Orthonormal Bases

Brett Ninness, Hakan Hja!marsson. and Frednk Gustafsson

461 Ingham-Type Theorems for Vector-Valued Functions and Observability of Coupled

Linear Systems
Viimos Komornik and Paola Loreti

486 A Duality Approach in the Optimization of Beams and Plates

J. Sprekels and D. Tiba

502 Approximate Solution of Markov Renewal Programs with Finite Time Horizon

Karl Hinderer and Karl-Heinz Waidmann

521 Boundary Observability, Controllability, and Stabilization of Linear Elastodynamic

Systems
Fatiha Atabau and Viimos Komornik

543 Exact Boundary Controllability of the Korteweg-de Vries Equation
Bing-Yu Zhang

566 Central Paths, Generalized Proximal Point Methods, and Cauchy Trajectories in

Riemannian Manifolds
Alfredo N. lusern, B. F. Svaiter, and Joao Xavier da Cruz Neto

589 On Homotopy-Smoothing Methods for Box-Constrained Variational Inequalities

Xiaoiun Chen and Yinyu Ye

617 Exact Penalization of Mathematical Programs with Equilibrium Constraints

Stefan Scholtes and Michae! Stohr

653 Asymptotic Analysis for Penalty and Barrier Methods in Variational Inequalities

Auslender

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SIAM JOURNAL ON CONTROL & OPTIMIZATION

VOLUME 37, NOUMBER 3, FEBRUARY 1999 TO MARCH 1999

673 Boundary Stabilization of the Wave Equation in Almost Star-shaped Domains

Patrick Martinez

695 Supremum Operators and Computation of Supremal Elements in System Theory

S. Hashtrudi Zad, fi. H. Kwong. and W. M. Wonham

710 Smooth Normal Approximations of epi-Lipschitzian Subsets of R(n)

Bernard Comet and Marc-Olivier Czarnecki

731 Global Convergence of Trust-region Interior-point Algorithms for
Infinite-dimensional Nonconvex Minimization Subject to Pointwise Bounds
Michae! Ulbrich, Stefan Ulbrich. and Matthias Heinkenschloss

765 A New Projection Method for Variational Inequality Problems

M. V. Solodov and B. F. Svaiter

777 Continuous Dependence with Respect to the Input of Trajectories of

Control-Affine Systems
Wensheng Liu and Hector J. Sussmann

804 Stochastic Shortest Path Games
Stephen D. Patek and Dimitri P. Bertsekas

825 Fully Coupled Forward-Backward Stochastic Differential Equations and

Applications to Optimal Control
Shige Peng and Zhen Wu

844 Analytic Controllability of a Linear Hybrid System

Brice Aiiibert

869 Convergence Results for the Flux Identification in a Scalar Conservation Law

Frangois James and Mauricio Sepuiveda

892 An Augmented Lagrangian Method for Identifying Discontinuous Parameters in

Elliptic Systems
chiming Chen and Jun Zou

911 Piecewise-Constant Stabilization

Sergey Nikitin

934 Bifurcation Stabilization with Local Output Feedback
Guoxiang Gu, Xiang Chen, Andrew G. Sparks, and Siva S. Banda

957 Backstepping Controller Design for Nonlinear Stochastic Systems Under a Risk-
Sensitive Cost Criterion
Zigang Pan and Tamer Basar

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Siam journal on Control and Optimization
Volume 37, Number 4, April 1999 to May 1999


CONTENTS

997 Averaging Results and the Study of Uniform Asymptotic Stability of Homoge-
neous Differential Equations That Are Not Fast Time-Varying
Joan Peuteman and Dirk Aeyels

1011 Necessary Optimality Conditions for Control Problems and the Stone-Oech
Compactification
Nadir Arada and Jean-Pierre Raymond

1033 On the Weak Closure of Sets of Feasible States for Linear Elliptic Equations in
the Scalar Case
Uldis Raitums

1048 Risk-Sensitive Control of Finite State Machines on an Infinite Horizon I I
Wendell H. Fleming and Daniel Hemändez-Hernändez

1070 Newton's Mesh Independence Principle for a Class of Optimal Shape Design
Problems
Manfred La u men

1089 Absolute Stabilization and Minimax Optimal Control of Uncertain Systems with
Stochastic Uncertainty
V. A. Ugrinovskii and 1. P. Petersen

1123 Control of the Stochastic Burgers Model of Turbulence
Gluseppe Da Prato and Arnaud Debussche

1150 Beyond Monotonicity in Regularization Methods for Nonlinear Complementarity
Problems
Francisco Facchinei and Christian Kanzow

1162 Maximum Principle for a Hybrid System via Singular Perturbations
G. Grammel

1176 Primal-Dual Strategy for Constrained Optimal Control Problems
Mai'tine Bergounioux, Kazufumi lto, and Karl Kunisch

1195 Regularity of the Minimum Time Function and Minimum Energy Problems:
The Linear Case
Fausto Gozzi and Paola Loreti

1222 On the Convergence and Applications of Generalized Simulated Annealing
P. Del Moral and L. Micio

1251 On the Topological Derivative in Shape Optimization
J. Sokorowski and A. Zochowski

1273 Pontryagin Maximum Principle for Optimal Control of Variational Inequalities
Mai'tine Bergounioux and Housnaa Zidani

1291 Relaxation of Control Systems Under State Constraints
Helene Frankowska and Franco Rampazzo

1310 Erratum: "Existence of Markov Controls and Characterization of Optimal Markov
Controls"
Thomas G. Kurtz and Richard H. Stockbridge