Results 11 to 20 of about 280,795 (285)
Synthesis of dissipative systems using quadratic differential forms: Part I [PDF]
IEEE Transactions on Automatic Control, 2002 In this second part of this paper, we discuss several important special cases of the problem solved in Part I. These are: disturbance attenuation and passivation, the full information case, the filtering problem, and the case that the to-be-controlled plant is given in input–state–output representation.
Trentelman, H.L., Willems, Jan C.
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Phase Portraits of Families VII and VIII of the Quadratic Systems
Axioms, 2023 The quadratic polynomial differential systems in a plane are the easiest nonlinear differential systems. They have been studied intensively due to their nonlinearity and the large number of applications.
Laurent Cairó, Jaume Llibre
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Adaptive Control of Differentially Private Linear Quadratic Systems [PDF]
2021 IEEE International Symposium on Information Theory (ISIT), 2021 In this paper, we study the problem of regret minimization in reinforcement learning (RL) under differential privacy constraints. This work is motivated by the wide range of RL applications for providing personalized service, where privacy concerns are becoming paramount.
Chowdhury, Sayak Ray +2 more
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Stability of the Planar Quadratic Systems from the Ring-Theoretic Viewpoint
Mathematics, 2022 We show that the classical result on the stability of the origin in a quadratic planar system of ODEs can be formulated using either matrix theory or via its associated real and complex Marcus algebra.
Borut Zalar, Matej Mencinger
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Quadratic planar differential systems with algebraic limit cycles via quadratic plane Cremona maps
Advances in Mathematics, 2021 In this paper we show how we can transform quadratic systems into new quadratic systems after some kind of birational transformations, the quadratic plane Cremona maps. We afterwards apply these transformations to the families of quadratic differential systems having an algebraic limit cycle.
Alberich Carramiñana, Maria +2 more
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UNCERTAIN SYSTEMS, BEHAVIOURS AND QUADRATIC DIFFERENTIAL FORMS [PDF]
IFAC Proceedings Volumes, 2002 Abstract This paper considers uncertain systems from a behavioural point of view defined via quadratic differential forms. This uncertainty definition is closely related to the integral quadratic constraint uncertainty description commonly found in robust control theory.
Ian R. Petersen, Jan C. Willems
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The Moduli Spaces of Parabolic Connections with a Quadratic Differential and Isomonodromic Deformations [PDF]
, 2017 In this paper, we study the moduli spaces of parabolic connections with a quadratic differential. We endow these moduli spaces with symplectic structures by using the fundamental 2-forms on the moduli spaces of parabolic connections (which are phase ...
Komyo, Arata
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On the relationship between nonlinear and linear differential systems
上海师范大学学报. 自然科学版, 2015 In this article, we establish the relationship between the quadratic time-varying differential systems and the linear systems, giving the sufficient conditions for the quadratic systems to have the reflecting function in the form of fractional function ...
ZHOU Zhengxin +4 more
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Exactly Solvable Quadratic Differential Equation Systems Through Generalized Inversion
Qualitative Theory of Dynamical Systems, 2023 AbstractWe study the autonomous systems of quadratic differential equations of the form $${\dot{x}}_i(t)={\textbf{x}}(t)^T {\textbf{A}}_i {\textbf{x}}(t) + {\textbf{v}}_i^T {\textbf{x}}(t)$$ x ˙ i
Bácsi, Ádám, Kocsis, Albert Tihamér
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Linear Hamiltonian behaviors and bilinear differential forms [PDF]
, 2004 We study linear Hamiltonian systems using bilinear and quadratic differential forms. Such a representation-free approach allows us to use the same concepts and techniques to deal with systems isolated from their environment and with systems subject to ...
Rapisarda, Paolo, Trentelman, Harry L.
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