66 research outputs found
Corrigendum to : “On the circle criterion for boundary control systems in factor form : Lyapunov stability and Lur'e equations”
No full textA corrected version of [P. Grabowski and F.M. Callier, ESAIM: COCV 12 (2006) 169–197], Theorem 4.1, p. 186, and Example, is given
On the asymptotic behavior of the projection Riccati differential equation
No full textThe solution of the Riccati differential equation is reported to be asymptotically close to the solution of the projection Riccati differential equation (PRDE). The asymptotic behavior of the latter is analyzed on an explicit formula. The almost periodic asymptote of the solution of the PRDE is computed by an algorithm based upon the concepts of aperiodic- almost-periodic generator decomposition of a linear map, and row-staircase form of a polynomial matrix. The analysis provides ultimately a convergence criterion.</p
Staging [in]visible subjects: Blackqueer bodies, social death and performance
No full textStaging [In]visible Subjects: BlackQueer Bodies, Social Death and Performance is an examination of the ways in which death and violence operate within the lives of black/queer youth. Black/queer youth experience marginalization across several dimensions of difference (i.e. race, class, sexuality, gender, etc). Proximity from white, male, middle class, heteronormative acceptability places these youth particularly vulnerable to violence and death. Moreover, the ubiquitous nature of white supremacy, patriarchy, homophobia, and capitalism normalize the degradation and devaluation of black/queer bodies, lives, stories, and experience. This degradation often materializes in the absence of black/queer narratives and experiences. Whereas, black/queer bodies are not seen as central to black politics, cultural life and struggles, and neither are they central to current articulations of queer politics, cultural life, and struggle. The systematic premature and preventable death experienced by black/queer youth demands an expansion of current conceptualization of those who are the most vulnerable among us. Through an intersectional analysis informed by Black queer theory, Performance theory, and Black feminist theory this project explores the possibility of utilizing personal narrative and art—namely poetry and theatre—to not only understand violence operates within the lives of black/queer youth, but to reinsert their narratives and experiences back into our cultural memory and political liberatory movements and strategies.Submission published under a 24 month embargo labeled 'Closed Access', the embargo will last until 2018-05-01The student, Durell Callier, accepted the attached license on 2016-04-04 at 16:28.The student, Durell Callier, submitted this Dissertation for approval on 2016-04-04 at 16:31.This Dissertation was approved for publication on 2016-04-07 at 08:35.DSpace SAF Submission Ingestion Package generated from Vireo submission #9147 on 2016-07-07 at 14:16:31Made available in DSpace on 2016-07-07T21:14:33Z (GMT). No. of bitstreams: 3
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Previous issue date: 2016-04-07Embargo set by: Seth Robbins for item 93237
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Proper feedback compensators for a strictly proper plant by polynomial equations
No full textWe review the polynomial matrix compensator equation XlDr + YlNr = Dk (COMP), e.g. (Callier and Desoer, 1982, Kučera, 1979; 1991), where (a) the right-coprime polynomial matrix pair (Nr,Dr) is given by the strictly proper rational plant right matrix-fraction P = NrD-1 r , (b) Dk is a given nonsingular stable closed-loop characteristic polynomial matrix, and (c) (Xl, Yl) is a polynomial matrix solution pair resulting possibly in a (stabilizing) rational compensator given by the left fraction C = X-1 l Yl. We recall first the class of all polynomial matrix pairs (Xl, Yl) solving (COMP) and then single out those pairs which result in a proper rational compensator. An important role is hereby played by the assumptions that (a) the plant denominator Dr is column-reduced, and (b) the closed-loop characteristic matrix Dk is row-column-reduced, e.g., monically diagonally degree-dominant. This allows us to get all solution pairs (Xl, Yl) giving a proper compensator with a row-reduced denominator Xl having (sufficiently large) row degrees prescribed a priori. Two examples enhance the tutorial value of the paper, revealing also a novel computational method
On the circle criterion for boundary control systems in factor form : Lyapunov stability and Lur'e equations
No full textA Lur’e feedback control system consisting of a linear, infinite-dimensional system of boundary control in factor form and a nonlinear static sector type controller is considered. A criterion of absolute strong asymptotic stability of the null equilibrium is obtained using a quadratic form Lyapunov functional. The construction of such a functional is reduced to solving a Lur’e system of equations. A sufficient strict circle criterion of solvability of the latter is found, which is based on results by Oostveen and Curtain [Automatica 34 (1998) 953–967]. All the results are illustrated in detail by an electrical transmission line example of the distortionless loaded RLCG-type. The paper uses extensively the philosophy of reciprocal systems with bounded generating operators as recentl
The Spectral Factorization Problem For Multivariable Distributed Parameter Systems
No full textThis paper studies the solution of the spectral factorization problem for multivariable distributed parameter systems with an impulse response having an infinite number of delayed impulses. A coercivity criterion for the existence of an invertible spectral factor is given for the cases that the delays are a) arbitrary (not necessarily commensurate) and b) equally spaced (commensurate); for the latter case the criterion is applied to a system consisting of two parallel transmission lines without distortion. In all cases, it is essentially shown that, under the given criterion, the spectral density matrix has a spectral factor whenever this is true for its singular atomic part, i.e. its series of delayed impulses (with almost periodic symbol). Finally, a small-gain type sufficient condition is studied for the existence of spectral factors with arbitrary delays. The latter condition is meaningful from the system theoretic point of view, since it guarantees feedback stability robustness with respect to small delays in the feedback loop. Moreover its proof contains constructive elements. 1 Introductio
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