A Game Theoretic Approach to $\mathcal{H}^\infty $ Control for Time-Varying Systems
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- ReferenceStochastic H 2 /H ∞ Control | 1 September 2017
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- IntroductionRobust Filtering for Uncertain Systems | 11 April 2014
- Characterization of ℋ− index for linear time-varying systemsAutomatica, Vol. 49, No. 5 | 1 May 2013
- A risk sensitive performance index for control problems with a view to Markov jump systems2012 IEEE 51st IEEE Conference on Decision and Control (CDC) | 1 Dec 2012
- Infinite horizon H-two/H-infinity control for descriptor systems: Nash game approachJournal of Control Theory and Applications, Vol. 10, No. 2 | 11 April 2012
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- A necessary and sufficient condition for ℋ- index of linear time-varying systems49th IEEE Conference on Decision and Control (CDC) | 1 Dec 2010
- Agile and Precise Attitude Maneuver of Flexible Spacecraft based on Nonstationary Frequency-Shaped Robust ControlAIAA Guidance, Navigation, and Control Conference | 26 June 2010
- Simultaneous Control for Position and Vibration of a Planetary Rover with Flexible StructuresAdvanced Robotics, Vol. 24, No. 3 | 2 April 2012
- A Solution to the Continuous-Time ${\rm H}_{\infty}$ Fixed-Interval Smoother ProblemIEEE Transactions on Automatic Control, Vol. 54, No. 12 | 1 Dec 2009
- Model validation for IQC uncertain systems with fixed initial conditionsSystems & Control Letters, Vol. 57, No. 10 | 1 Oct 2008
- Robust state and input simultaneous estimation for continuous linear time-varying uncertain systems2008 27th Chinese Control Conference | 1 Jul 2008
- Existence of Similarity Transformation Converting BMIs to LMIsIEEE Transactions on Fuzzy Systems, Vol. 15, No. 5 | 1 Oct 2007
- Properties of a continuous-time H<inf>∞</inf> fixed-interval smoother2007 46th IEEE Conference on Decision and Control | 1 Jan 2007
- Nonstationary Robust Control for Vibration of Elevator RopeJournal of System Design and Dynamics, Vol. 1, No. 2 | 1 Jan 2007
- Optimal and robust noncausal filter formulationsIEEE Transactions on Signal Processing, Vol. 54, No. 3 | 1 Mar 2006
- State Feedback $H_\infty$ Control for a Class of Nonlinear Stochastic SystemsSIAM Journal on Control and Optimization, Vol. 44, No. 6 | 26 July 2006
- Maximum Entropy Models, Dynamic Games, and Robust Output Feedback Control for Nonlinear SystemsProceedings of the 45th IEEE Conference on Decision and Control | 1 Jan 2006
- Optimal Controls on Finite and Infinite Horizons: A ReviewReceding Horizon Control | 1 Jan 2005
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- Observer-Based Control for Sampled-Data Fuzzy SystemsThe 14th IEEE International Conference on Fuzzy Systems, 2005. FUZZ '05. | 1 Jan 2005
- Optimum minimum variance fixed interval smoothingProceedings of the Eighth International Symposium on Signal Processing and Its Applications, 2005. | 1 Jan 2005
- On necessity proof of strict bounded real lemma for generalized linear systems with finite discrete jumpsJournal of Control Theory and Applications, Vol. 2, No. 4 | 1 Nov 2004
- Experimental examination of non-stationary robust vibration control for an elevator ropeProceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering, Vol. 218, No. 7 | 1 November 2004
- Stochastic>tex/tex<Control WithState-Dependent NoiseIEEE Transactions on Automatic Control, Vol. 49, No. 1 | 1 Jan 2004
- Optimal H∞ scaling for sensitivity optimization of detection filtersInternational Journal of Robust and Nonlinear Control, Vol. 12, No. 8 | 17 June 2002
- The problem of optimal robust sensor schedulingSystems & Control Letters, Vol. 43, No. 2 | 1 Jun 2001
- Multiobjective \boldmath$\Ht/\Hf$ Control DesignSIAM Journal on Control and Optimization, Vol. 40, No. 2 | 26 July 2006
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- Determination Criterion of Finite Escape Phenomena of H∞-Differential Riccati EquationsComputational Mechanics–New Frontiers for the New Millennium | 1 Jan 2001
- Solution of the state feedback singular H∞ control problem for linear time-varying systemsAutomatica, Vol. 36, No. 10 | 1 Oct 2000
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- The problem of optimal robust sensor schedulingProceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187) | 1 Jan 2000
- Remarks on the time-varying H∞ Riccati equationsSystems & Control Letters, Vol. 37, No. 5 | 1 Aug 1999
- Control of continuous-time systems with discrete jumpsThe Journal of the Australian Mathematical Society. Series B. Applied Mathematics, Vol. 41, No. 1 | 17 February 2009
- Gabor transform of time-varying systems: exact representation and approximationIEEE Transactions on Automatic Control, Vol. 44, No. 4 | 1 Apr 1999
- Robust Controller Design for Linear, Time-Varying SystemsEuropean Journal of Control, Vol. 5, No. 2-4 | 1 Jan 1999
- A variational approach to ℋ/sup ∞/ control with transientsIEEE Transactions on Automatic Control, Vol. 44, No. 10 | 1 Jan 1999
- H/sup ∞/ control for linear time-varying systems: controller parameterizationIEEE Transactions on Automatic Control, Vol. 44, No. 11 | 1 Jan 1999
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- H/sup ∞/ optimal control of time-varying systems with L/sup 2/-bounded state constraintsProceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171) | 1 Jan 1998
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- A Scaled L 2 Optimization Approach for Improving Sensitivity of H ∞ Detection Filters for LTV SystemsIFAC Proceedings Volumes, Vol. 30, No. 16 | 1 Jun 1997
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- H/sup ∞/-0ptimal Control and Related Minimax Design Problems: A Dynamic Game ApproachIEEE Transactions on Automatic Control, Vol. 41, No. 9 | 1 Sep 1996
- Robust state estimation for uncertain systems with averaged integral quadratic constraintsInternational Journal of Control, Vol. 64, No. 5 | 24 February 2007
- Quadratic stabilization with an ∞ performance bound of uncertain linear-time-varying systemsSystems & Control Letters, Vol. 28, No. 2 | 1 Jun 1996
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- H ∞ -control of nonlinear time-varying systems with finite time horizonInternational Journal of Control, Vol. 64, No. 2 | 24 February 2007
- Model validation for robust control of uncertain systems with an integral quadratic constraintAutomatica, Vol. 32, No. 4 | 1 Apr 1996
- On the structure of a two-degree-of-freedom H∞ loop shaping controllerInternational Journal of Control, Vol. 63, No. 6 | 27 February 2007
- H ∞ -control with output feedback for time-varying discrete systemsInternational Journal of Control, Vol. 63, No. 6 | 27 February 2007
- Principle of proportional damages in a multiple criteria LQR problemIEEE Transactions on Automatic Control, Vol. 41, No. 3 | 1 Mar 1996
- H ∞ norm computation for LTV systems using nonlinear optimal control algorithmsInternational Journal of Control, Vol. 63, No. 1 | 27 February 2007
- Linear estimation in Krein spaces. I. TheoryIEEE Transactions on Automatic Control, Vol. 41, No. 1 | 1 Jan 1996
- Worst-case analysis of asynchronous sampled-data systemsProceedings of 35th IEEE Conference on Decision and Control | 1 Jan 1996
- On closed-loop objectives and guaranteed robustness propertiesProceedings of 35th IEEE Conference on Decision and Control | 1 Jan 1996
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- Sampled-data minimumH ∞-norm regulation of linear continuous-time systems using multirate-output controllersJournal of Optimization Theory and Applications, Vol. 87, No. 2 | 1 Nov 1995
- An uncertainty averaging approach to optimal guaranteed cost control of uncertain systems with structured uncertaintyAutomatica, Vol. 31, No. 11 | 1 Nov 1995
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- Robust H/sub ∞/ output feedback control for nonlinear systemsIEEE Transactions on Automatic Control, Vol. 40, No. 6 | 1 Jun 1995
- Recursive state estimation for uncertain systems with an integral quadratic constraintIEEE Transactions on Automatic Control, Vol. 40, No. 6 | 1 Jun 1995
- Continuous-time tracking problems in an H/sub ∞/ setting: a game theory approachIEEE Transactions on Automatic Control, Vol. 40, No. 5 | 1 May 1995
- Robust ℋ/sub ∞/ filtering for continuous time varying uncertain systems with deterministic input signalsIEEE Transactions on Signal Processing, Vol. 43, No. 3 | 1 Mar 1995
- Robust H∞ tracking: A game theory approachInternational Journal of Robust and Nonlinear Control, Vol. 5, No. 3 | 7 March 2007
- Finite Horizon H ∞ with Parameter VariationsFinite Horizon H∞ and Related Control Problems | 1 Jan 1995
- Linear quadratic performance with worst case disturbance rejectionProceedings of 1995 American Control Conference - ACC'95 | 1 Jan 1995
- Induced L/sub 2/-norm control for LPV system with bounded parameter variation ratesProceedings of 1995 American Control Conference - ACC'95 | 1 Jan 1995
- Robust performance and adaptation using receding horizon H/sub ∞/ control of time varying systemsProceedings of 1995 American Control Conference - ACC'95 | 1 Jan 1995
- H/sub ∞/ control for impulsive disturbances: a state-space solutionProceedings of 1995 American Control Conference - ACC'95 | 1 Jan 1995
- Characterization of the $\mathcal{L}_2 $-Induced Norm for Linear Systems with Jumps with Applications to Sampled-Data SystemsSIAM Journal on Control and Optimization, Vol. 32, No. 4 | 1 August 2006
- Mixed H2/H∞ control in a stochastic frameworkLinear Algebra and its Applications, Vol. 205-206 | 1 Jul 1994
- A new parametrization of H∞ suboptimal controllersInternational Journal of Control, Vol. 59, No. 4 | 15 March 2007
- Risk-sensitive control and dynamic games for partially observed discrete-time nonlinear systemsIEEE Transactions on Automatic Control, Vol. 39, No. 4 | 1 Apr 1994
- Robust Kalman filtering for uncertain systemsSystems & Control Letters, Vol. 22, No. 2 | 1 Feb 1994
- A nonlinear H ∞ control design in robotic systems under parameter perturbation and external disturbanceInternational Journal of Control, Vol. 59, No. 2 | 11 August 2011
- Finite horizon H∞ with parameter variationsInternational Journal of Robust and Nonlinear Control, Vol. 4, No. 5 | 6 March 2007
- A Nash game approach to mixed H/sub 2//H/sub ∞/ controlIEEE Transactions on Automatic Control, Vol. 39, No. 1 | 1 Jan 1994
- A reconciliation between quantitative feedback theory and robust multivariable controlProceedings of 1994 American Control Conference - ACC '94 | 1 Jan 1994
- Robust estimation for discrete-time linear systemsProceedings of 1994 American Control Conference - ACC '94 | 1 Jan 1994
- Time-varying problems of H/sup ∞/ control and absolute stabilizability of uncertain systemsProceedings of 1994 American Control Conference - ACC '94 | 1 Jan 1994
- Robust state estimation for uncertain systems with averaged integral quadratic constraintsProceedings of 1994 33rd IEEE Conference on Decision and Control | 1 Jan 1994
- An H/sub ∞/ filtering approach to robust detection of failures in dynamical systemsProceedings of 1994 33rd IEEE Conference on Decision and Control | 1 Jan 1994
- The Standard $H_\infty $ Problem and the Maximum Principle: The General Linear CaseSIAM Journal on Control and Optimization, Vol. 31, No. 4 | 14 July 2006
- The finite-horizon singular H∞ control problem with dynamic measurement feedbackLinear Algebra and its Applications, Vol. 187 | 1 Jul 1993
- H∞ filtering for a class of uncertain nonlinear systemsSystems & Control Letters, Vol. 20, No. 6 | 1 Jun 1993
- Game theory approach to finite-time horizon optimal estimationIEEE Transactions on Automatic Control, Vol. 38, No. 6 | 1 Jun 1993
- H/sub infinity / control and filtering for sampled-data systemsIEEE Transactions on Automatic Control, Vol. 38, No. 8 | 1 Jan 1993
- The bounded real lemma for discrete time-varying systems with application to robust output feedbackProceedings of 32nd IEEE Conference on Decision and Control | 1 Jan 1993
- Finite horizon H/sub ∞/ with parameter variationsProceedings of 32nd IEEE Conference on Decision and Control | 1 Jan 1993
- A dynamic game approach to the linear H/sub ∞/ tracking problemProceedings of 32nd IEEE Conference on Decision and Control | 1 Jan 1993
- Recursive linear estimation in Krein spaces. I. TheoryProceedings of 32nd IEEE Conference on Decision and Control | 1 Jan 1993
- Asymptotic analysis of nonlinear stochastic risk-sensitive control and differential gamesMathematics of Control, Signals, and Systems, Vol. 5, No. 4 | 1 Dec 1992
- Factorization and the Nehari theorem in time-varying systemsMathematics of Control, Signals, and Systems, Vol. 5, No. 4 | 1 Dec 1992
- Game theory approach to optimal linear state estimation and its relation to the minimum H/sub infinity /-norm estimationIEEE Transactions on Automatic Control, Vol. 37, No. 6 | 1 Jun 1992
- $\mathcal{H}_\infty $ Controller Synthesis by J-Lossless Coprime FactorizationSIAM Journal on Control and Optimization, Vol. 30, No. 3 | 14 July 2006
- A generalized eigenproblem approach to singular control problems. II. H/sup infinity / problems[1992] Proceedings of the 31st IEEE Conference on Decision and Control | 1 Jan 1992
- H/sub infinity /-optimal estimation: a tutorial[1992] Proceedings of the 31st IEEE Conference on Decision and Control | 1 Jan 1992
- A game theoretic analysis of a linear compensator in the presence of disturbances and parameter uncertainties[1992] Proceedings of the 31st IEEE Conference on Decision and Control | 1 Jan 1992
- $H_\infty $ Control with TransientsSIAM Journal on Control and Optimization, Vol. 29, No. 6 | 14 July 2006
- A Characterization of All Solutions to the Four Block General Distance ProblemSIAM Journal on Control and Optimization, Vol. 29, No. 2 | 14 July 2006
- A J-Spectral Factorization Approach to $\mathcal{H}_\infty $SIAM Journal on Control and Optimization, Vol. 28, No. 6 | 14 July 2006
- H/sub infinity / optimal full information control for discrete time systems29th IEEE Conference on Decision and Control | 1 Jan 1990
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