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The l1 norm of a discrete-time system determines its peak gain, whereas its H_infinity norm determines its RMS gain. In many cases it may be desirable to make a certain map small in the peak gain sens...
Optimal excitation signal design for frequency domain system identification using semidefinite programming
The optimal excitation signal and the dispersion function semidefinite programming linear matrix inequality (lmi)
2015/8/11
The paper discusses two methods of optimal excitation signal design for identification with Maximum Likelihood parameter estimation: The ‘classical’, dispersion function based method, and a new, semid...
A perspective-based convex relaxation for switched-affine optimal control
Switched-affne systems optimal control mixed-integer convex programming hybrid systems disjunctive programming.
2015/8/7
We consider the switched-affine optimal control problem, i.e., the problem of selecting a sequence of affine dynamics from a finite set in order to minimize a sum of convex functions of the system sta...
E±cient Algorithm for Time-optimal Feedrate Planning and Smoothing with Conˉned Chord Error and Acceleration
Time-optimal feedrate planning chord error conˉned acceleration discrete velocity searching feedrate smoothing
2013/9/9
In this paper, an e±cient algorithm is proposed to generate a smooth near-timeoptimal feedrate function along a parametric tool path for 3-axis CNC machining under a feedrate bound, an acceleration bo...
Optimal phase response curves for stochastic synchronization of limit-cycle oscillators by common Poisson noise
Euler-Lagrange equation phase response curve limit-cycle oscillators Poisson noise
2011/7/6
We consider optimization of phase response curves for stochastic synchronization of non-
interacting limit-cycle oscillators by common Poisson impulsive signals. The optimal functional
shape for suf...
Are Some Optimal Shape Problems Convex?
optimal shape plate equation convexity maximal deformation beam
2009/2/5
The optimal shape problem in this paper is to construct plates or beams of minimal weight. The thickness $u(x)$ is variable, but the vertical deformation $y(x)$ should not exceed a certain threshhold....
Optimal Control of Problems Governed by Obstacle Type Variational Inequalities：A Dual Regularization-Penalization Approach
Variational Inequalities Optimal Control Dual Methods Penalization Methods
2009/1/23
In this paper we investigate optimal control problems governed by variational inequalities. We give optimality conditions under classical assumptions using a dual regularized functional to interpret t...