Numerically Stable Algorithms for Inversion of Block Tridiagonal and Banded Matrices (2007)
Jain, Jitesh, Li, Hong, Cauley, Stephen, Koh, Cheng-Kok, Balakrishnan, Venkataramanan
We provide a new representation for the inverse of block tridiagonal and banded matrices. The new representation is shown to be numerically stable over a variety of block tridiagonal matrices, in...
Venkataramanan Balakrishnan, Stephen Boyd
INTRODUCTION Many problems in control system analysis and design can be posed in a setting where a system with a #xed model structure and nominal parameter values is a#ected by parameter variations....
Chu-yin Chang, Anthony A. Maciejewski, Senior Member, Venkataramanan Balakrishnan
We present a computationally efficient algorithm for the eigenspace decomposition of correlated images. Our approach is motivated by the fact that for a planar rotation of a two-dimensional (2-D)...
Linear Matrix Inequalities in Robust Control - A Brief Survey (2002)
Control system models must often explicitly incorporate in them uncertainties or perturbations.
Semidefinite Programming Duality and Linear Time-invariant Systems (2002)
Balakrishnan, Venkataramanan, Vandenberghe, Lieven
Several important problems in control theory can be reformulated as semidefinite programming problems, i.e., minimization of a linear objective subject to Linear Matrix Inequality (LMI) constraints....
Efficient Balance-and-Truncate Model Reduction for Large Scale Systems (2000)
Balakrishnan, Venkataramanan, Su, Qing, Koh, Cheng-Kok
We present efficient implement at ions of the balanceand- truncate model reduction technique for large-scale systems. The key observation that distinguishes our approach is that Krylov subspace...
Global Optimization in Control System Analysis and Design (1999)
Venkataramanan Balakrishnan, Stephen Boyd
INTRODUCTION Many problems in control system analysis and design can be posed in a setting where a system with a fixed model structure and nominal parameter values is affected by parameter...
Robust Gain-Scheduled Nonlinear Control Design for Stability and Performance (1998)
The models of control systems encountered in many naval applications are nonlinear; moreover, they are also time varying, and have uncertainties affecting them. The underlying controller design...
Robust Constrained Model Predictive Control using Linear Matrix Inequalities (1995)
Mayuresh V. Kothare, Venkataramanan Balakrishnan, Manfred Morari
The primary disadvantage of current design techniques for model predictive control (MPC) is their inability to deal explicitly with plant model uncertainty. In this paper, we formulation. The...
Robust Constrained Model Predictive Control using Linear Matrix Inequalities (1995)
Kothare, Mayuresh V., Balakrishnan, Venkataramanan, Morari, Manfred
The primary disadvantage of current design techniques for model predictive control (MPC) is their inability to deal explicitly with plant model uncertainty. In this paper, we present a new approach...
Global optimization in control system analysis and design / (1992)
Thesis (Ph. D.)--Stanford University, 1992.
Robust Constrained Model Predictive Control using Linear Matrix Inequalities (1970)
Mayuresh V. Kothare, Venkataramanan Balakrishnan, Manfred Morari
The primary disadvantage of current design techniques for model predictive control (MPC) is their inability to deal explicitly with plant model uncertainty. In this paper, we present a new approach...