Browsing by Author "Universiṭat BenGuryon baNegev"
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H∞Optimization Theory for Distributed Systems
Tannenbaum, Allen R.; Zames, George; Foias, Ciprian (Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 198612)In this note we write down an explicit formula for the computation of the optimal sensitivity of an arbitrary single input/output, linear timeinvariant distributed plant. We moreover discuss the uniqueness of the optimal ... 
NonEuclidian 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, 198510)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 H∞ Optimal Sensitivity Problem for Systems with Delays
Foias, Ciprian; Tannenbaum, Allen R.; Zames, George (Georgia Institute of TechnologySociety for Industrial and Applied Mathematics, 19870501)In this paper we extend some of the results of [IEEE Trans. Automat. Control, AC31 (1986), pp. 763–766] to more general delay systems. In particular, we analyze the effect of the interaction of delays and nonminimum phase ... 
On the sensitivity minimization problem for linear timevarying periodic systems
Feintuch, Avraham; Khargonekar, Pramod P.; Tannenbaum, Allen R. (Georgia Institute of TechnologySociety for Industrial and Applied Mathematics, 198609)An optimal control problem is formulated in the context of linear, discretetime, periodic systems. The cost is the supremum over all exogenous inputs in a weighted hall of plant inputs. The controller is required to be ... 
On the spectra and invertibility of certain operators in systems theory
Foias, Ciprian; Tannenbaum, Allen R. (Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 198712)In this paper we study the following kind of problem. Let T be an arbitrary contraction. We will define a certain function which will lead to an explicit procedure for the computation of the isolated spectrum of w(T)w(T)', ... 
On the Uniqueness of a Minimal Norm Representative of an Operator in the Commutant of the Compressed Shift
Foias, Ciprian; Tannenbaum, Allen R. (Georgia Institute of TechnologyAmerican Mathematical Society, 198712)In this note we give a new criterion guaranteeing the uniqueness of a minimal norm representative of a bounded linear operator which commutes with a finite multiplicity shift. We moreover give examples which show that ... 
Robotic Manipulators and the Geometry of Real Semialgebraic Sets
Tannenbaum, Allen R.; Yomdin, Yoseph (Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 19870801)Some modern techniques are applied from real semialgebraic geometry to the robotic manipulator problem. In particular, using the notion of "metric entropy," the complexity of maneuvering the manipulator from state to state ... 
Robust Control of Linear TimeInvariant Plants Using Periodic Compensation
Khargonekar, Pramod P.; Poolla, Kameshwar; Tannenbaum, Allen R. (Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 198511)This paper considers the use and design of linear periodic timevarying controllers for the feedback control of linear timeinvariant discretetime plants. We will show that for a large class of robustness problems, periodic ... 
Robust stabilization of systems with uncertain parameters
Khargonekar, Pramod P.; Tannenbaum, Allen R. (Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 198412)This paper considers, from a complex function theoretic point of view, certain robust synthesis problems. We consider both real and complex parameter variations. It is shown that several apparently different problems can ... 
Some explicit formulae for the singular values of certain hankel operators with factorizable symbol
Foias, Ciprian; Tannenbaum, Allen R.; Zames, George (Georgia Institute of TechnologySociety for Industrial and Applied Mathematics, 198809)In this paper a determinantal formula is written that allows one to compute the singular values of Hankel operators, the L∞ symbols of which are of the form mw for WE H∞ rational and mE H∞ inner. (All of the Hardy spaces ... 
Spectral NevanlinnaPick interpolation theory and robust stabilization
Tannenbaum, Allen R. (Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 198712)In this note we will discuss a new kind of interpolation theory in which one bounds the spectral radius of the matrixvalued interpolating functions instead of the norm as is the case with ordinary NevanlinnaPick ... 
Stabilization of TimeDelay Systems Using FiniteDimensional Compensators
Kamen, Edward W.; Khargonekar, Pramod P.; Tannenbaum, Allen R. (Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 198501)For linear timeinvariant systems with one or more noncommensurate time delays, necessary and sufficient conditions are given for the existence of a finitedimensional 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, 198608)In this note we discuss the H ∞ sensitivity minimization problem for linear timeinvariant delay systems. While the unweighted case reduces to simple NevanlinnaPick interpolation, the weighted case turns out to be much ... 
Weighted sensitivity minimization for delay systems
Foias, Ciprian; Tannenbaum, Allen R.; Zames, George (Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 198512)In this note we discuss the H∞sensitivity minimization problem for linear timeinvariant delay systems. While the unweighted case reduces to simple NevanlinnaPick interpolation, the weighted case turns out to be much ... 
Weighted sensitivity minimization of linear periodic timevarying systems
Feintuch, Avraham; Khargonekar, Pramod P.; Tannenbaum, Allen R. (Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 198512)The problem of weighted sensitivity minimization of linear periodic timevarying plants is considered. The controllers are also required to be linear periodic with the same period as that of the plant. A formula for the ...