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Estimates of the attraction domain of linear systems under \(L_2\)-bounded control

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Publication:499555
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DOI10.1134/S0005117915030017zbMath1327.93068MaRDI QIDQ499555

M. V. Khlebnikov

Publication date: 30 September 2015

Published in: Automation and Remote Control (Search for Journal in Brave)



Mathematics Subject Classification ID

Linear systems in control theory (93C05) Attainable sets, reachability (93B03) Control/observation systems governed by ordinary differential equations (93C15)



Uses Software

  • CVX


Cites Work

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  • Optimal feedback design under bounded control
  • Generalized \(H_\infty\)-optimal control as a trade-off between the \(H_\infty\)-optimal and \(\gamma\)-optimal controls
  • Lyapunov function method for control law synthesis under one integral and several phase constraints
  • Petersen's Lemma on matrix uncertainty and its generalizations
  • Optimization of linear systems subject to bounded exogenous disturbances: the invariant ellipsoid technique
  • State-space solutions to standard H/sub 2/ and H/sub infinity / control problems
  • Linear Matrix Inequalities in System and Control Theory
  • \(H^ \infty\)-optimal control and related minimax design problems. A dynamic game approach.


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