Balakrishnan's research and publications

Publications and presentations of Venkataramanan (Ragu) Balakrishnan, sorted by type

A selcted list of publications, sorted by topic is available. All publications and presentations are also available sorted by year.

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Research Monograph:

Linear Matrix Inequalities in System and Control Theory (Boyd, El Ghaoui, Feron and Balakrishnan. Research monograph. SIAM, 1994)

Editorial Contribution:

Linear Matrix Inequalities in Control Theory and Applications (Balakrishnan and Feron, editors, IJRNC Special Issue, 1996)

Book reviews:

Review of System Identification: Theory for the User (Second Ed.), by L. Ljung (Automatica , 2002)
Review of A Unified Algebraic Approach to Linear Control Design, by R. E. Skelton, T. Iwasaki and K. Grigoriadis (IJRNC, 2002)

Journal Articles:

A Scalable Distributed Method for Quantum-Scale Device Simulation. (Cauley, Jain, Koh and Balakrishnan. In Journal of Applied Physics, 2007. Also in Virtual Journal of Nanoscale Sci. & Tech, Jul 9 issue.)
Fast Positive-Real Balanced Truncation Via Quadratic Alternating Direction Implicit Iteration. (Wong, Balakrishnan. To appear in IEEE Trans. TCAD, 2008)
Quadtree-based eigendecomposition for pose detection in the presence of occlusion and background clutter. (Chang, Maciejewski, Balakrishnan, et al. In PAMI, 2007)
Exact and numerically stable closed form expressions for potential coefficients of rectangular conductors. (Jain, Koh, Balakrishnan. In IEEE Trans. TCAS-II, 2006)
Two Algorithms for Fast and Accurate Passivity-Preserving Model Order Reduction (Wong, Balakrishnan, Koh and Ng. In IEEE Trans. TCAD, 2006)
Design of Double-Passed Arrayed Waveguide Gratings for Generation of Flat Topped Femtosecond Pulse trains (Muralidharan, Balakrishnan and Weiner. IEEE Trans. Lightwave Tech., 2006)
Robust SISO H-infty Controller Design for Nonlinear Systems. (Ingram, Franchek, Balakrishnan, Surnilla. Control Engineering Practice (IFAC), 2005)
Analyzing unidentified locked-joint failures in kinematically redundant manipulators (Goel, et al. Journal of Robotic Systems, 2005)
Modeling and analysis of early events in T-lymphocyte antigen-activated intracellular-signaling pathways (Zheng, et al. Journal of Computational and Applied Mathematics, 2005)
Failure tolerant teleoperation of a kinematically redundant manipulator: An experimental study, (Goel, et al. IEEE SMC, 2003)
Robust Steady-State Filtering for Systems with Deterministic and Stochastic Uncertainties, (Wang and Balakrishnan. IEEE TSP, 2003)
Optimal Array Pattern Synthesis Using Semidefinite Programming (Wang, Balakrishnan et al. IEEE TSP, 2003)
Semidefinite programming duality and Linear Time-Invariant systems (Balakrishnan and Vandenberghe. IEEE TAC, 2003)
Lyapunov Functionals in Complex-$\mu$ Analysis. (Balakrishnan. IEEE TAC, 2002)
Improved Stability Analysis and Gain-Scheduled Controller Synthesis for Parameter-Dependent Systems (Wang and Balakrishnan. IEEE TAC, 2002)
Robust Kalman Filters for Linear Time-Varying Systems with Stochastic Parametric Uncertainties (Wang and V. Balakrishnan. IEEE TSP, 2002)
Fast Eigenspace Decomposition of Correlated Images. (Chang, Maciejewski and Balakrishnan. IEEE TIP, 2000)
Real-Time Failure Tolerant Control of Kinematically Redundant Manipulators (Groom, Maciejewski and Balakrishnan. IEEE TRA, 1999.)
Efficient Computation of a Guaranteed Lower Bound on the Robust Stability Margin of Uncertain Systems (Balakrishnan and Wang. IEEE TAC, 1999)
Robust Stability and Performance Analysis of Uncertain Systems Using Linear Matrix Inequalities (Balakrishnan and Kashyap. JOTA, 1999)
Absolute Stability Theory, mu Theory, and State-Space Verification of Frequency-Domain Conditions: Connections and Implications for Computation (Chou, Tits and Balakrishnan. IEEE TAC, 1999)
Robustness under Bounded Uncertainty with Phase Information (Tits, Balakrishnan and Lee. IEEE TAC, 1999)
Small-mu Theorems with Frequency-Dependent Uncertainty Bounds (Tits and Balakrishnan. MCSS, 1998)
Systematic Method for Determining Intravenous Drug Treatment Strategies Aiding the Humoral Immune Response (Rundell, DeCarlo, Balakrishnan and HogenEsch. IEEE TBE, 1998)
Algorithms and Software for LMI Problems in Control (Vandenberghe and Balakrishnan. IEEE Control Systems Magazine, 1997)
H_infinity controller synthesis with time-domain constraints (Balakrishnan. IEEE TAC, 1997)
Robust constrained model predictive control using linear matrix inequalities (Kothare, Balakrishnan and Morari. Automatica, 1996)
Linear matrix inequalities in robustness analysis with multipliers (Balakrishnan. SCL, 1995)
Constrained stabilization of discrete-time linear systems (Zheng, Balakrishnan and Morari. IJRNC, 1995)
Existence and uniqueness of optimal matrix scalings (Balakrishnan and Boyd. SIMAX, 1995)
Designing discrete-time amplitude limited signals for maximum amplitude separation (Honig, Steiglitz, Balakrishnan and Rantapaa. IEEE TIT, 1995)
On computing the worst-case peak gain of linear systems (Balakrishnan and Boyd. SCL, 1992)
Branch and bound algorithm for computing the minimum stability degree of parameter-dependent linear systems (Balakrishnan, Boyd and Balemi. IJRNC, 1991)
A regularity result for the singular values of a transfer matrix and a quadratically convergent algorithm for computing its L_infinity-norm (Boyd and Balakrishnan. SCL, 1990)
A bisection method for computing the H_infinity norm of a transfer matrix and related problems (Boyd, Balakrishnan and Kabamba. MCSS, 1989)
A new CAD method and associated architectures for linear controllers (Boyd, Balakrishnan, et al. IEEE TAC, 1988)
Significance of initial interpolation in band-limited signal interpolation (Yegnanarayana, Fathima, Nehru and Balakrishnan). IEEE TASSP, 1989)

Book chapter contributions:

A Second-Order Cone Bounding Algorithm for Robust Minimum Variance Beamforming (Wong, et al. In Proc. MAC Workshop, Hamilton Institute, Springer LNCIS, 2004)
Interior-point algorithms for semidefinite programming problems derived from the KYP lemma (Vandenberghe, et al. In Positive Polynomials in Control, Springer LNCIS, 2004)
Semidefinite Programming in Systems and Control (Balakrishnan and Wang. Handbook of Semidefinite Programming, Kluwer, 2000)
Linear Controller Design for the NEC Laser Bonder via LMI Optimization (Oishi and Balakrishnan. Recent Advances on LMI Methods in Control, SIAM, 1999)
Conditions for the existence and uniqueness of optimal matrix scalings (Balakrishnan, Open Problems in Math. Syst. and Cont. Th., Springer Verlag 1998)
Matrix inequality conditions for canonical factorization of rational transfer function matrices (Balakrishnan, Open Problems in Math. Syst. and Cont. Th., Springer Verlag 1998)
Phase-sensitive structured singular value (Tits and Balakrishnan, Open Problems in Math. Syst. and Cont. Th., Springer Verlag 1998)
Numerical optimization-based design (Balakrishnan and Tits. The Control Handbook, 1996)
Global optimization in control system analysis and design (V. Balakrishnan and S. Boyd. Control and Dynamic Systems, vol. 53, C. T. Leondes, ed., Academic Press, 1992)
Computing the minimum stability degree of parameter-dependent linear systems (Balakrishnan, Boyd, and Balemi. Control of Uncertain Dynamic Systems, CRC Press, 1991)
Intelligent specification language compilers, the Q-parametrization, and convex programming: Concepts for an advanced computer-aided control system design method (Meyer, Balakrishnan, et al. Advanced Computing Concepts and Techniques in Control Engineering, Volume 47 of NATO ASI series)

Conference Proceedings and Presentations:

A Fast Band-Matching Technique for Interconnect Inductance Modeling (Li, Jain, Koh and Balakrishnan. In Proc. ICCAD, 2007)
Efficient Analysis of Large-Scale Power Grids based on a Compact Cholesky Factorization (Li, Jain, Balakrishnan and Koh). In Proc. ISQED, 2007)
Statistical Timing Analysis Considering Spatial Correlations (Li, Koh, Balakrishnan and Chen). In Proc. ISQED, 2007)

MultiShift Quadratic Alternating Direction Implicit Iteration for High-Speed Positive-Real Balanced Truncation (Wong and Balakrishnan. In Proc. DAC, 2006)
SASIMI: Sparsity Aware Simulation of Interconnect-Dominated Circuits with Non-Linear Devices (Jain, Cauley, Balakrishnan and Koh. In Proc. ASPDAC, 2006)
Adaptive Admittance-based Conductor Meshing for Interconnect Analysis (Yang, Balakrishnan and Koh. In Proc. ASPDAC, 2006)
Quadratic Alternating Direction Implicit Iteration for the Fast Solution of Algebraic Riccati Equations (Wong and Balakrishnan. In Proc. ISPACS, 2005)
Statistical Based Link Insertion for Robust Clock Network Design (Lam, et al.. In Proc. ICCAD, 2005)
Fast Balanced Stochastic Truncation Via A Quadratic Extension of the Alternating Direction Implicit Iteration (Wong and Balakrishnan. In Proc. ICCAD, 2005)
Compact and Stable Modeling of Partial Inductance and Reluctance Matrices (Li, Balakrishnan, Koh and Zhong. In Proc. ASPDAC, 2005)
Fast Simulation of VLSI Interconnects (Jain, Koh, Balakrishnan. In Proc. ICCAD, 2004)
Passivity-Preserving Model Reduction Via A Computationally Efficient Project-And-Balance Scheme (Wong, et al. In Proc. DAC, 2004) Finalist, best paper award.
A Fast Newton/Smith Algorithm for Solving AREs and its Application in Model Order Reduction (Wong, et al. In Proc. ICASSP, 2004)
On the implementation of primal-dual interior-point methods for semidefinite programming problems derived from the KYP lemma. (Vandenberghe, Balakrishnan, Wallin and Hansson. In Proc. IEEE CDC, 2003)
Spark Ignition Engine Torque Management. (Ingram, et al. In Proc. ACC, 2003)
An Adaptive Window-Based Susceptance Extraction and its Efficient Implementation (Zhong, Koh, Balakrishnan and Roy. In Proc. DAC, 2003)
A Geometrical Approach to Robust Minimum Variance Beamforming (Wong, et al. In Proc. ICASSP, 2003)
Spark Ignition Engine Mass Air Flow Control for Precise Torque Management. (Ingram, et al. In Proc. SAE World Congress, 2003)
Linear Matrix Inequalities in Robust Control: A Brief Survey (Balakrishnan. In Proc. MTNS, 2002)
A Factorization-Based Framework for Passivity-Preserving Model Reduction of RLC systems (Su, Balakrishnan and Koh. In Proc. DAC, 2002)
Model Reduction in the Time-Domain using Laguerre Polynomials and Krylov Methods. (Chen, Balakrishnan, Koh and Roy. In Proc. DATE, 2002)
Efficient Approximate Balanced Truncation of General Large-Scale RLC Systems via Krylov Methods (Su, Balakrishnan and Koh. In Proc. ASPDAC, 2002)
Eigendecomposition-based pose detection in the presence of occlusion. (Chang, Maciejewski, Balakrishnan and Roberts. In Proc. IEEE/RSJ IROS, 2001)
Efficient Balance-and-Truncate Model Reduction for Large Scale Systems (Balakrishnan, Su and Koh. In Proc. ACC, 2001)
Optimal Array Pattern Synthesis Using Semidefinite Programming (Wang, Balakrishnan, et al. In Proc. ICASSP, 2001)
An introduction to the application of semi-definite programming in process control. (Wang, Balakrishnan and Vandenberghe. In Proc. ACC, 2000)
Semidefinite programming duality and linear system theory: connections and implications for computation. (Vandenberghe and Balakrishnan. In Proc. IEEE CDC, 1999)
Robustness analysis and gain-scheduled controller synthesis for rational parameter-dependent uncertain systems using parameter-dependent Lyapunov functions. (Wang and Balakrishnan. In Proc. IEEE CDC, 1999)
Robust Estimators for Systems with Both Deterministic and Stochastic Uncertainties. (Wang and Balakrishnan. In Proc. IEEE CDC, 1999)
Robust Adaptive Kalman Filters for Linear Time-Varying Systems with Stochastic Parametric Uncertainties. (Wang and Balakrishnan. In Proc. ACC, 1999. Finalist, best student paper award)
Failure tolerant teleoperation of a kinematically redundant manipulator: An experimental study. (Goel, Maciejewski, Balakrishnan and Proctor. In Proc. IEEE ICRA, 1999)
The design of control strategies tolerant to undetected failures in kinematically redundant manipulators. (Goel, Maciejewski and Balakrishnan. In Proc. IEEE ICRA, 1999)
Eigendecomposition-based analysis of video images. (Chang, Maciejewski and Balakrishnan. In Proc SPIE, 1999)
Improved Stability Analysis and Gain-Scheduled Controller Synthesis for Parameter-Dependent Systems (Wang and Balakrishnan. In Proc. IEEE CDC, 1998)
Efficient Computation of a Guaranteed Lower Bound on the Robust Stability Margin of Uncertain Systems (Balakrishnan and Wang. In Proc. IEEE CDC, 1998)
Undetected Locked-Joint Failures in Kinematically Redundant Manipulators: A Workspace Analysis. (Goel, Maciejewski and Balakrishnan. In Proc. IROS, 1998)
Fast Eigenspace Decomposition of Correlated Images (Chang, Maciejewski V. Balakrishnan. In Proc. IROS, 1998)
Trade-Off Between SNR and ISI in Multi-Channel Zero Forcing Equalizers (Settle, Zoltowski and Balakrishnan. IEEE SPWSSAP, 1998)
Linear Matrix Inequalities for signal processing. An overview (Balakrishnan and Vandenberghe. In Proc. Princeton CISS, 1998)
Design of Multi-Channel Equalizers via Linear Matrix Inequalities: Trade-off between SNR and ISI (Settle, Zoltowski and Balakrishnan. In UCSD Conf, 1998)
Large-scale optimization techniques and linear matrix inequality problems (Vandenberghe and Balakrishnan. In MTNS 98, 1998)
Small-mu Theorems with Frequency-Dependent Uncertainty Bounds (Tits and Balakrishnan. In Proc. ECC, 1997)
Investigations into Treatment Strategies Aiding the Immune Response to Haemophilus Influenzae (Rundell, DeCarlo, Balakrishnan and HogenEsch. In Proc. ACC, 1997)
Failure Tolerant Robots for Industrial Applications (Groom, Maciejewski and Balakrishnan. In Proc. IRVC, 1997)
Real-Time Failure Tolerant Control of Kinematically Redundant Manipulators (Groom, Maciejewski and Balakrishnan. In Proc. IEEE ICRA, 1997. Winner, best student paper award)
An Analysis of the Post-Fault Behavior of Robotic Manipulators. (Goel, Maciejewski and Balakrishnan. In Proc. IEEE ICRA, 1997)
An Application of Semidefinite Programming Duality to Derive Bounds on the H_infinity Norm of a Transfer Matrix (Balakrishnan and Vandenberghe. In Proc. IEEE CDC, 1996)
Robust Performance Bounds based on Lyapunov Functions for Uncertain Systems (Balakrishnan. In Proc. Allerton Conf., 1996)
Algorithms and Software Tools for LMI Problems in Control: Session overview (Vandenberghe and Balakrishnan. In Proc. IEEE CACSD Symp., 1996)
Connections between duality in control theory and convex optimization (Balakrishnan and Vandenberghe. In Proc. ACC, 1995)
Construction of Lyapunov functions in analysis with multipliers (Balakrishnan. In Proc. IEEE CDC, 1994)
Synthesis of fixed-structure controllers via numerical optimization (El Ghaoui and Balakrishnan. In Proc. IEEE CDC, 1994)
An LMI approach to robust constrained model predictive control. (Kothare, Balakrishnan and Morari. In In Proc. ACC, 1994)
Linear matrix inequalities in analysis with multipliers (Balakrishnan, Huang, Packard Doyle. In Proc. ACC, 1994)
History of Linear Matrix Inequalities in Control Theory (Boyd, Feron, Balakrishnan and El Ghaoui. In Proc. ACC, 1994)
Tradeoffs in frequency-weighted H_infinity-control (Balakrishnan and Boyd. In Proc. IEEE/IFAC Symp. on CACSD, 1994)
Linear Matrix Inequalities in System and Control Theory (Boyd, El Ghaoui, Feron and Balakrishnan. In Proc. Allerton Conf., 1993)
Control system analysis and synthesis via linear matrix inequalities (Boyd, Balakrishnan, Feron, and El Ghaoui. In Proc. ACC, 1993)
Solving interpolation problems via generalized eigenvalue minimization (Balakrishnan, Feron, Boyd and El Ghaoui. In Proc. ACC, 1993)
Existence and uniqueness of optimal matrix scalings (Balakrishnan and Boyd. In Proc. IEEE CDC, 1992)
On computing the worst-case peak gain of linear systems (Balakrishnan and Boyd. In Proc. IEEE CDC, 1992)
Design of stabilizing state feedback for delay systems via convex optimization (Feron, Balakrishnan and Boyd. In Proc. IEEE CDC, 1992)
Numerical methods for H_2 related problems (Feron, Balakrishnan, Boyd and L. El Ghaoui. In Proc. ACC, 1992)
On maximizing a robustness measure for structured nonlinear perturbations (El Ghaoui, Balakrishnan, Feron and S. Boyd. In Proc. ACC, 1992)
Computing bounds for the structured singular value via an interior point algorithm (Balakrishnan, Feron, Boyd and El Ghaoui. In Proc. ACC, 1992)
Computation of the worst-case covariance for linear systems with uncertain parameters (Balakrishnan and Boyd. In Proc. IEEE CDC, 1991)
Computation of the Minimum Stability Degree of Parameter-dependent Linear Systems by a Branch and Bound Algorithm (Balakrishnan, Balemi and Boyd. In Proc. IFAC Symp., 1991)
Computation of the Maximum H_infinity-norm of Parameter-dependent Linear Systems by a Branch and Bound Algorithm (Balemi, Boyd and Balakrishnan. In Proc. MTNS, 1991)
l_infinity/l_infinity signal design (Honig, Steiglitz, Balakrishnan and Rantapaa. In IEEE Int. Symp. IT, Budapest, Hungary, 1991)
A branch and bound methodology for matrix polytope stability problems arising in power systems (DeMarco, Balakrishnan and Boyd. In Proc. IEEE CDC, 1990)
A regularity result for the singular values of a transfer matrix and a quadratically convergent algorithm for computing its L_infinity-norm (Boyd and V. Balakrishnan. In Proc. IEEE CDC, 1989)
On computing the H_infinity-norm of a transfer matrix (Boyd, Balakrishnan, and Kabamba. In Proc. American Control Conf., 1988)
A new CAD method and associated architectures for linear controllers (Boyd, Balakrishnan, et al. In Proc. ACC, 1987)
A new CAD method and associated architectures for linear controllers (Boyd, Balakrishnan, et al. In Proc. Allerton Conf., 1986)

Workshop, Short Course, Minisymposium, and Seminar Presentations:

Semidefinite Programming Duality: Implications for System Theory and Computation (Balakrishnan. Semi-plenary talk at the MTNS Symposium, Leuven, July 2004. (Also presented at the Yale Center for Systems Science Seminar Series, February 2004)
SDP Duality and LTI Systems (Balakrishnan. Talk at the Workshop on LMIs in Control, Toulouse, France, July 2004.
Interior-point algorithms for semidefinite programming problems derived from the Kalman-Yakubovich-Popov Lemma (Balakrishnan. Plenary talk, MAC Workshop, Hamilton Inst., 2003)
Semidefinite Programming Duality and Linear Time-invariant Systems (Balakrishnan. Seminar at the Univ. of Houston and the Hamilton Inst., 2003)
Semidefinite Programming and its Application to Process Control (Balakrishnan. Seminar at the Indian Inst. of Tech., Madras, January 2003)
Applications of Convex Optimization in Systems and Control (Balakrishnan. Seminar at the Univ. of Michigan, December 2000)
Applications of Semidefinite Programming in Robust Control (Balakrishnan. In Workshop on SDP: Applications and Algorithms, Berlin, 1998)
Linear Matrix Inequalities and Control Applications (Balakrishnan, El Ghaoui, Scherer and Scorletti. European Summer School in Automatic Control, Grenoble, France, 1997)
Conditions for the Existence and Uniqueness of Optimal Matrix Scalings (Balakrishnan. In Workshop Open Prob. in Math. Syst. Th. and Contr., Liege, Belgium, 1997. Also at IEEE CDC, 1998)
Matrix Inequality Conditions for Canonical Factorization of Rational Transfer Function Matrices (Balakrishnan. In Workshop Open Prob. in Math. Syst. Th. and Contr., Liege Belgium, 1997)
Phase-sensitive structured singular value (Tits and Balakrishnan. In Workshop Open Prob. in Math. Syst. Th. and Contr., Liege, Belgium, 1997. Also at IEEE CDC, 1998)
Robust Post-Failure Performance of Robots (Balakrishnan. In Workshop Fault-Tolerant Robotics, ICRA 97)
Robustness under Bounded Uncertainty with Phase Information In Minisymposium Contr.-th. App. Convex Opt., SIAM-CCA, 1995))
On Computing Bounds on the Worst-Case H_2 norm of Parameter-Dependent Linear Systems In Minisymposium Contr.-th. App. Convex Opt., SIAM-CCA, 1995))
Practical Methods for Robust Control (Feron, Balakrishnan and Hall. MIT Summer Professional Program, 1995)
Computer-aided Control System Design using Linear Matrix Inequalities (Balakrishnan et al. Tutorial workshop at ACC, 1994)
Convex Optimization Techniques in Robust Control (Balakrishnan et al. Tutorial workshop at IEEE CDC, 1993)
Linear Matrix Inequalities in Analysis with Frequency-Dependent Multipliers (Balakrishnan and Feron. In Minisymposium Convex Opt. in Contr. Syst. Anal. & Design, SIAM-LASSC, 1993)

Technical Reports:

Semidefinite programming duality and Linear Time-Invariant systems (Balakrishnan and Vandenberghe. TR-ECE 02-02, School of ECE, Purdue Univ., 2002)
Efficient Balance-and-Truncate Model Reduction for Large Scale Systems (Balakrishnan, Su and Koh. TR-ECE 00-15, School of ECE, Purdue Univ., 2000)
Absolute Stability Theory, mu Theory, and State-Space Verification of Frequency-Domain Conditions: Connections and Implications for Computation (Chou, Tits and Balakrishnan. TR 97-23, ISR, Univ. Maryland, 1997)
Robustness under Bounded Uncertainty with Phase Information (Tits, Balakrishnan and Lee. TR 96-14, ISR, Univ. Maryland, 1996)
Robust constrained model predictive control using Linear Matrix Inequalities (Kothare, Balakrishnan and Morari. 95-02, Aut. Contr. Lab., ETH Switzerland, 1995)
Constrained H_infinity-optimal controller design via interpolation theory (Balakrishnan. ISL-BOY-92-1, ISL, Stanford Univ, 1992)
Global optimization of H_infinity-norm of parameter-dependent linear systems (Balemi and Balakrishnan. 91-15, Aut. Contr. Lab., ETH Switzerland, 1991)

This document was last modified March 19, 2008.