• Conference Object  

      Characterization of the Optimal Disturbance Attenuation for Nonlinear Stochastic Uncertain Systems 

      Charalambous, Charalambos D.; Rezaei, F.; Djouadi, S. M. (2003)
      This paper is concerned with an abstract formulation of stochastic optimal control systems, in which uncertainty is described by a relative entropy constraint between the nominal measure and the uncertain measure, while ...
    • Conference Object  

      Lossless coding with generalized criteria 

      Charalambous, T.; Charalambous, Charalambos D.; Rezaei, F. (2011)
      This paper presents prefix codes which minimize various criteria constructed as a convex combination of maximum codeword length and average codeword length, or, a convex combination of the average of an exponential function ...
    • Conference Object  

      Minimax rate distortion for a class of sources 

      Rezaei, F.; Charalambous, Charalambos D.; Stavrou, P. A.; Kourtellaris, C. (2010)
      This paper deals with rate distortion or source coding with fidelity criterion, in measure spaces, for a class of source distributions. The class of source distributions is described by a relative entropy constraint set ...
    • Article  

      Nonlinear estimation for a class of systems 

      Socratous, Y.; Rezaei, F.; Charalambous, Charalambos D. (2009)
      This paper considers nonlinear estimation problems for classes of models, and employs relative entropy to describe the uncertainty classes. Two optimization problems are formulated on general Banach spaces, and their ...
    • Conference Object  

      On the fixed point problem in the abstract rate distortion theory 

      Rezaei, F.; Ahmed, N. U.; Charalambous, Charalambos D. (University of Illinois at Urbana-Champaign, Coordinated Science Laboratory and Department of Computer and Electrical Engineering, 2006)
      This paper introduces a general framework for dealing with the subject of rate distortion or source coding with fidelity criterion, in Polish spaces. The problem is ad-dressed using a variational approach on the space of ...
    • Article  

      Optimal control of uncertain stochastic systems subject to total variation distance uncertainty 

      Rezaei, F.; Charalambous, Charalambos D.; Ahmed, N. U. (2012)
      This paper is concerned with optimization of uncertain stochastic systems, in which uncertainty is described by a total variation distance constraint between the measures induced by the uncertain systems and the measure ...
    • Article  

      Optimal merging algorithms for lossless codes with generalized criteria 

      Charalambous, T.; Charalambous, Charalambos D.; Rezaei, F. (2014)
      This paper presents lossless prefix codes optimized with respect to a payoff criterion consisting of a convex combination of maximum codeword length and average codeword length. The optimal codeword lengths obtained are ...
    • Conference Object  

      Optimal stochastic control of discrete-time systems subject to total variation distance uncertainty 

      Charalambous, Charalambos D.; Rezaei, F.; Tzortzis, I. (2010)
      This paper presents another application of the results in [1], [2], where existence of the maximizing measure over the total variation distance constraint is established, while the maximizing pay-off is shown to be equivalent ...
    • Conference Object  

      Optimization of fully observable nonlinear stochastic uncertain controlled diffusion: Monotonicity properties and optimal sensitivity 

      Rezaei, F.; Charalambous, Charalambos D.; Kyprianou, Andreas (2004)
      This paper is concerned with fully observable nonlinear stochastically controlled diffusions, in which uncertainty is described by a relative entropy constraint between the nominal measure and the uncertain measure, while ...
    • Conference Object  

      Optimization of fully observable nonlinear stochastic uncertain controlled diffusion: Monotonicity properties and optimal sensitivity 

      Rezaei, F.; Charalambous, Charalambos D.; Kyprianou, Andreas (Affiliation: Sch. of Info. Technol. and Eng., University of Ottawa, 800 King Edward Ave., Ottawa, Ont. K1N 6N5, CanadaAffiliation: Sch. of Info. Technol. and Eng., University of Ottawa, 161 Louis Pasteur, A519, Ottawa, Ont. K1N 6N5, CanadaAffiliation: Electrical Engineering Department, University of Cyprus, 75 Kallipoleos Avenue, Nicosia, CyprusAffiliation: Mechanical Engineering Department, University of Cyprus, 75 Kallipoleos Avenue, Nicosia, CyprusCorrespondence Address: Rezaei, F.Sch. of Info. Technol. and Eng., University of Ottawa, 800 King Edward Ave., Ottawa, Ont. K1N 6N5, Canadaemail: frezaei@site.uottawa.ca, 2004)
      This paper is concerned with fully observable nonlinear stochastically controlled diffusions, in which uncertainty is described by a relative entropy constraint between the nominal measure and the uncertain measure, while ...
    • Conference Object  

      Optimization of fully observable nonlinear stochastic uncertain controlled diffusion: Monotonicity properties and optimal sensitivity 

      Rezaei, F.; Charalambous, C. D.; Kyprianou, Andreas (Affiliation: Sch. of Info. Technol. and Eng., University of Ottawa, 800 King Edward Ave., Ottawa, Ont. K1N 6N5, CanadaAffiliation: Sch. of Info. Technol. and Eng., University of Ottawa, 161 Louis Pasteur, A519, Ottawa, Ont. K1N 6N5, CanadaAffiliation: Electrical Engineering Department, University of Cyprus, 75 Kallipoleos Avenue, Nicosia, CyprusAffiliation: Mechanical Engineering Department, University of Cyprus, 75 Kallipoleos Avenue, Nicosia, CyprusCorrespondence Address: Rezaei, F.Sch. of Info. Technol. and Eng., University of Ottawa, 800 King Edward Ave., Ottawa, Ont. K1N 6N5, Canadaemail: frezaei@site.uottawa.ca, 2004)
      This paper is concerned with fully observable nonlinear stochastically controlled diffusions, in which uncertainty is described by a relative entropy constraint between the nominal measure and the uncertain measure, while ...
    • Conference Object  

      Optimization of nonlinear stochastic uncertain relaxed controlled systems: Entropy rate functional and robustness 

      Rezaei, F.; Charalambous, Charalambos D.; Kyprianou, Andreas (2004)
      This paper is concerned with nonlinear stochastic uncertain relaxed controlled difussions, in which the pay-off is described by the relative entropy between the nominal measure and the uncertain measure, when the uncertain ...
    • Conference Object  

      Optimization of nonlinear stochastic uncertain relaxed controlled systems: Entropy rate functional and robustness 

      Rezaei, F.; Charalambous, C. D.; Kyprianou, Andreas (Affiliation: Sch. of Info. Technol. and Eng., University of Ottawa, 800 King Edward Ave., Ottawa, Ont. K1N 6N5, CanadaAffiliation: Sch. of Info. Technol. and Eng., University of Ottawa, 161 Louis Pasteur, A519, Ottawa, Ont. K1N 6N5, CanadaAffiliation: Electrical Engineering Department, University of Cyprus, 75 Kallipoleos Avenue, Nicosia, CyprusAffiliation: Mechanical Engineering Department, University of Cyprus, 75 Kallipoleos Avenue, Nicosia, CyprusCorrespondence Address: Rezaei, F.Sch. of Info. Technol. and Eng., University of Ottawa, 800 King Edward Ave., Ottawa, Ont. K1N 6N5, Canadaemail: frezaei@site.uottawa.ca, 2004)
      This paper is concerned with nonlinear stochastic uncertain relaxed controlled difussions, in which the pay-off is described by the relative entropy between the nominal measure and the uncertain measure, when the uncertain ...
    • Conference Object  

      Optimization of nonlinear stochastic uncertain relaxed controlled systems: Entropy rate functional and robustness 

      Rezaei, F.; Charalambous, Charalambos D.; Kyprianou, Andreas (Affiliation: Sch. of Info. Technol. and Eng., University of Ottawa, 800 King Edward Ave., Ottawa, Ont. K1N 6N5, CanadaAffiliation: Sch. of Info. Technol. and Eng., University of Ottawa, 161 Louis Pasteur, A519, Ottawa, Ont. K1N 6N5, CanadaAffiliation: Electrical Engineering Department, University of Cyprus, 75 Kallipoleos Avenue, Nicosia, CyprusAffiliation: Mechanical Engineering Department, University of Cyprus, 75 Kallipoleos Avenue, Nicosia, CyprusCorrespondence Address: Rezaei, F.Sch. of Info. Technol. and Eng., University of Ottawa, 800 King Edward Ave., Ottawa, Ont. K1N 6N5, Canadaemail: frezaei@site.uottawa.ca, 2004)
      This paper is concerned with nonlinear stochastic uncertain relaxed controlled difussions, in which the pay-off is described by the relative entropy between the nominal measure and the uncertain measure, when the uncertain ...
    • Conference Object  

      Optimization of stochastic uncertain systems with variational norm constraints 

      Rezaei, F.; Charalambous, Charalambos D.; Ahmed, N. U. (2007)
      This paper considers optimization of stochastic uncertain systems on general abstract spaces, when the uncertainty of the system is described by a variational norm constraint. The pay-off is defined as a linear functional ...
    • Conference Object  

      Optimization of Stochastic Uncertain Systems: Large Deviations and Robustness 

      Charalambous, Charalambos D.; Rezaei, F. (2003)
      This paper is concerned with an abstract formulation of stochastic uncertain control systems, in which the pay-off is described by the relative entropy between the nominal measure and the uncertain measure, while the ...
    • Book Chapter  

      Relations between information theory, robustness and statistical mechanics of stochastic uncertain systems via large deviation theory 

      Charalambous, Charalambos D.; Kyprianou, Andreas; Rezaei, F. (Springer Berlin Heidelberg, 2006)
      Robustness issues of stochastic uncertain controlled systems are intimately related to concepts from information theory and statistical mechanics. These relations are unveiled by using the theory of large deviations through ...
    • Book Chapter  

      Relations between information theory, robustness and statistical mechanics of stochastic uncertain systems via large deviation theory 

      Charalambous, Charalambos D.; Kyprianou, Andreas; Rezaei, F. (Springer Berlin Heidelberg, 2006)
      Robustness issues of stochastic uncertain controlled systems are intimately related to concepts from information theory and statistical mechanics. These relations are unveiled by using the theory of large deviations through ...
    • Book Chapter  

      Relations between information theory, robustness and statistical mechanics of stochastic uncertain systems via large deviation theory 

      Charalambous, C. D.; Kyprianou, Andreas; Rezaei, F. (Springer Berlin Heidelberg, 2006)
      Robustness issues of stochastic uncertain controlled systems are intimately related to concepts from information theory and statistical mechanics. These relations are unveiled by using the theory of large deviations through ...
    • Conference Object  

      Relations between information theory, robustness, and statistical mechanics of stochastic systems 

      Charalambous, Charalambos D.; Rezaei, F.; Kyprianou, Andreas (2004)
      The fundamental question, which will be addressed in this talk are the relations between dissipation, which is a concept of robustness, entropy rate, which is a concept of information theory, and statistical mechanics. ...