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On Maximizing a Robustness Measure for Structured Nonlinear Perturbations
Maximizing Robustness Measure Structured Nonlinear Perturbations
2015/7/13
In this paper, we propose a robustness measure for LTI systems with causal, nonlinear diagonal perturbations with finite L_2-gain. We propose an algorithm to reliably compute this quantity. We show ho...
A polynomial-time algorithm for determining quadratic Lyapunov functions for nonlinear systems
polynomial-time algorithm determining quadratic Lyapunov functions nonlinear systems
2015/7/13
We consider nonlinear systems dx/dt=f(x(t)) where Df(x(t)) is known to lie in the convex hull of L n times n matrices A_1,ldots,A_L. For such systems, quadratic Lyapunov functions can be determined us...
Control Applications of Nonlinear Convex Programming
linear programming convex optimization interior-point methods robust optimal control
2015/7/10
Since 1984 there has been a concentrated effort to develop efficient interior-point methods for linear programming (LP). In the last few years researchers have begun to appreciate a very important pro...
Efficient Nonlinear Optimization of Queueing Systems
Efficient Nonlinear Optimization Queueing Systems
2015/7/10
We present a systematic treatment of efficient nonlinear optimization of queuing systems. The suite of formulations uses the computational tool of convex optimization, with fast polynomial time algori...
Nonlinear Q-Design for Convex Stochastic Control
Convex optimization nonlinear control Q-parameter stochastic control
2015/7/9
In this note we describe a version of the Q-design method that can be used to design nonlinear dynamic controllers for a discrete-time linear time-varying plant, with convex cost and constraint functi...
A Batch Means Methodology for Estimation of a Nonlinear Function of a Steady- State Mean
Simulation Output Analysis Steady-State Simulation Nonlinear Estimation Batch Means Jack- knifing
2015/7/8
We study the estimation of steady-state performance measures from an Ad-valued stochastic process Y = {Y(t): t≥0} representing the output of a simulation. In many applications, we may be interested in...
User’s Guide for SNOPT Version 7: Software for Large-Scale Nonlinear Programming
optimization large-scale nonlinear programming nonlinear constraints
2015/7/3
SNOPT is a general-purpose system for constrained optimization. It minimizes a
linear or nonlinear function subject to bounds on the variables and sparse linear or
nonlinear constraints. It is suita...
A GLOBALLY CONVERGENT LINEARLY CONSTRAINED LAGRANGIAN METHOD FOR NONLINEAR OPTIMIZATION
large-scale optimization nonlinear programming
2015/7/3
The new algorithm has been implemented in Matlab, with an option to use either MINOS or
SNOPT (Fortran codes) to solve the linearly constrained subproblems. Only first derivatives are
required...