Continuous-time analysis, eigenstructure assignment, and H2 synthesis with enhanced linear matrix inequalities (LMI) characterizations

By Pierre Apkarian, Hoang Duong Tuan, J. Bernussou. IEEE Transactions on Automatic Control, 2001

462 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/e9ad7eeeb1635dcd4c6e77ccfa495713151b3aa1

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In Computational Theory and Mathematics

In Control and Systems Engineering

Citations in the corpus

Technical communique: Robust H2 control of continuous-time Markov jump linear systems (2008, unknown): “(18) Furthermore, if choose T = X in (18), then the above result can be reduced to the result in Apkarian et al. (2001), i.e.,   −V − V T * * * A V + X −X * * V 0 0 −X   < 0.”
On H∞ Performance Analysis for Continuous-Time Stochastic Systems with Polytopic Uncertainties (2005, result): “Subsequent works of similar concept have also been reported (see, for instance, [ 1 ], [10], [16], [18] and the references therein).”
Robust Observer Design for Unknown Inputs Takagi–Sugeno Models (2013, methodology): “In order to introduce more of relaxation to design unknown observer, the following equivalent constraint is used [32]:”
The scenario approach to robust control design (2006, methodology): “[2]), linear parametervarying (LPV) design (see e.”
Finite Frequency $H_{\infty }$ Control for Vehicle Active Suspension Systems (2011, background): “Lemma 1: (Generalized KYP Lemma [23]) Consider the linear system ( , , , ).”
A delay-dependent approach to robust H/sub /spl infin// filtering for uncertain discrete-time state-delayed systems (2004, result): “By introducing additional slack variables, this idea eventually enables us to exploit parameter-dependent Lyapunov functions to deal with systems with polytopic uncertainties, with the result that much less conservative results can be achieved [13], [18], [19].”
New approach to mixed H/sub 2//H/sub /spl infin// filtering for polytopic discrete-time systems (2005, background): “The parameter-dependent stability has been proved to be not only suitable for dealing with uncertain parameters but also very useful for multiobjective synthesis problems [ 2 ].”