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Robust stability of a linear multivariable system, in the sense of robustness under multiplicative transfer function perturbation, is necessarily preserved under sufficiently small perturbations in th...
Guaranteed Error Bounds for Model Reduction of Linear Time-Varying Systems
Time-Varying Systems Model Reduction
2015/6/19
New techniques are presented for the model reduction of linear time-varying and linear periodically-varying systems, including the formulation and proof of guaranteed upper bounds for the error. The c...
Error Bounds for Balanced Model Reduction of Linear Time-Varying Systems
Time-Varying Systems Model Reduction
2015/6/19
Error-bounds are developed for balanced truncation of linear time-varying systems, leading to an extension of the `twice the sum of the tail' formulae, well-known in the time-invariant case. The appro...
Suboptimality Bounds in Stochastic Control: A Queueing Example
Queueing Example Stochastic Control
2015/6/19
In this paper we consider Markov decision processes with average cost criteria, and discuss an approach for characterizing the performance loss associated with using a suboptimal control policy. Becau...
Degree bounds for polynomial verification of the matrix cube
matrix cube polynomial verification
2015/6/19
In this paper we consider the problem of how to computationally test whether a matrix inequality is positive semidefinite on a semialgebraic set. We propose a family of sufficient conditions using the...