• Computational Algebraic Geometry and Switching Surfaces in Optimal Control 

      Walther, Uli; Georgiou, Tryphon T.; Tannenbaum, Allen R. (Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 1999-12)
      A number of problems in control can be reduced to finding suitable real solutions of algebraic equations. In particular, such a problem arises in the context of switching surfaces in optimal control. Recently, a powerful ...
    • Control of Slowly-Varying Linear Systems 

      Kamen, Edward W.; Khargonekar, Pramod P.; Tannenbaum, Allen R. (Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 1989-12)
      State feedback control of slowly varying linear continuous-time and discrete-time systems with bounded coefficient matrices is studied in terms of the frozen-time approach. This study centers on pointwise stabilizable ...
    • H₂ Suboptimal Estimation and Control for Nonnegative Dynamical Systems 

      Haddad, Wassim M.; Chellaboina, Vijay Sekhar; Gholami, Behnood (Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 2007-07)
      Linear matrix inequalities provide a powerful design framework for linear control problems. In this paper, we use linear matrix inequalities to develop H₂ (sub)optimal estimators and controllers for nonnegative dynamical ...
    • Non-Euclidian metrics and the robust stabilization of systems with parameter uncertainty 

      Khargonekar, Pramod P.; Tannenbaum, Allen R. (Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 1985-10)
      This paper considers, from a complex function theoretic point of view, certain kinds of robust synthesis problems. In particular, we use a certain kind of metric on the disk (the "hyperbolic" metric) which allows us to ...
    • On the Computation of Switching Surfaces in Optimal Control: A Gröbner Basis Approach 

      Walther, Uli; Georgiou, Tryphon T.; Tannenbaum, Allen R. (Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 2001-04)
      A number of problems in control can be reduced to finding suitable real solutions of algebraic equations. In particular, such a problem arises in the context of switching surfaces in optimal control. A powerful new methodology ...
    • Robust Control of Linear Time-Invariant Plants Using Periodic Compensation 

      Khargonekar, Pramod P.; Poolla, Kameshwar; Tannenbaum, Allen R. (Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 1985-11)
      This paper considers the use and design of linear periodic time-varying controllers for the feedback control of linear time-invariant discrete-time plants. We will show that for a large class of robustness problems, periodic ...
    • Stabilization of Time-Delay Systems Using Finite-Dimensional Compensators 

      Kamen, Edward W.; Khargonekar, Pramod P.; Tannenbaum, Allen R. (Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 1985-01)
      For linear time-invariant systems with one or more noncommensurate time delays, necessary and sufficient conditions are given for the existence of a finite-dimensional stabilizing feedback compensator. In particular, it ...
    • Weighted Sensitivity Minimization for Delay Systems 

      Foias, Ciprian; Tannenbaum, Allen R.; Zames, George (Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 1986-08)
      In this note we discuss the H ∞ sensitivity minimization problem for linear time-invariant delay systems. While the unweighted case reduces to simple Nevanlinna-Pick interpolation, the weighted case turns out to be much ...