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Computation of the Maximum H_infinity-norm of Parameter-Dependent Linear Systems by a Branch and Bound Algorithm
Computation Maximum H_infinity-norm Parameter-Dependent Linear Systems Bound Algorithm
2015/7/13
For linear systems that contain unspecified parameters that lie in given intervals, we present a branch and bound algorithm for computing the maximum H_infinity-norm over the set of uncertain paramete...
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...
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...
Piecewise-Affine State Feedback for Piecewise-Affine Slab Systems Using Convex Optimization
Piecewise-affi ne systems State feedback Convex optimization Ellipsoids Lyapunov function
2015/7/10
This paper shows that Lyapunov-based state feedback controller synthesis for piecewise-affine (PWA) slab systems can be cast as an optimization problem subject to a set of linear matrix inequalities (...
Regenerative Steady-State Simulation of Discrete-Event Systems
Regenerative Steady-State Simulation Discrete-Event Systems
2015/7/8
The regenerative method possesses certain asymptotic properties that dominate those of other steady-state simulation output analysis methods, such as batch means. Therefore, applying the regenerative ...