Relevant bibliographies by topics / Dissipativeness

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Dissipativeness'

Author: Grafiati
Published: 30 May 2022
Last updated: 31 July 2025

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Journal articles on the topic "Dissipativeness"

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WEILAND, SIEP, and JAN C. WILLEMS. "DISSIPATIVE DYNAMICAL SYSTEMS IN A BEHAVIORAL CONTEXT." Mathematical Models and Methods in Applied Sciences 01, no. 01 (1991): 1–25. http://dx.doi.org/10.1142/s0218202591000022.

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Various conceptual definitions of dissipativeness of time invariant dynamical systems are introduced. A formal distinction is made between external and internal dissipativeness and it is shown that, under certain conditions, these notions are equivalent. A characterization of the class of internal storage functions associated with a dissipative system is given. The results are applied to the class of finite-dimensional linear time invariant systems. Necessary and sufficient conditions for dissipativeness of systems in this class are derived and the relation to LQ-theory is discussed.
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Gurney, David R. "Generalized dissipativeness in a Banach space." International Journal of Mathematics and Mathematical Sciences 19, no. 1 (1996): 25–32. http://dx.doi.org/10.1155/s0161171296000051.

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SupposeXis a real or complex Banach space with dualX*and a semiscalar product[,]. Forka real number, a subsetBofX×Xwill be calledk-dissipativeif for each pair of elements(x1,y1),(x2,y2)inB, there existsh∈{f∈X*:[x,f]=|x|2=|f|2}such thatRe[y1−y2,h]≤k|x1−x2|2.This definition extends a notion of dissipativeness which is equivalent to havingkequal zero here. A number of definitions and theorems related to this original dissipative notion are generalized in the present paper to fit thek-dissipative situation, and proofs are given for the new theorems.
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Kaneko, Osamu, and Takao Fujii. "DISCRETE TIME DISSIPATIVENESS ON THE DIPOLYNOMIAL RING." IFAC Proceedings Volumes 35, no. 1 (2002): 237–42. http://dx.doi.org/10.3182/20020721-6-es-1901.00201.

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Yong, Wen-An. "Intrinsic properties of conservation-dissipation formalism of irreversible thermodynamics." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 378, no. 2170 (2020): 20190177. http://dx.doi.org/10.1098/rsta.2019.0177.

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This paper proposes four fundamental requirements for establishing PDEs (partial differential equations) modelling irreversible processes. We show that the PDEs derived via the CDF (conservation-dissipation formalism) meet all the requirements. In doing so, we find useful constraints on the freedoms of CDF and point out that a shortcoming of the formalism can be remedied with the help of the Maxwell iteration. It is proved that the iteration preserves the gradient structure and strong dissipativeness of the CDF-based PDEs. A refined formulation of the second law of thermodynamics is given to c
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SAVKIN, ANDREY V., and IAN R. PETERSEN. "Structured dissipativeness and absolute stability of nonlinear systems." International Journal of Control 62, no. 2 (1995): 443–60. http://dx.doi.org/10.1080/00207179508921550.

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HODAKA, Ichijyo, Masayuki SUZUKI, and Noboru SAKAMOTO. "Robust Control Based on Dissipativeness of Open-Loop Systems." Transactions of the Institute of Systems, Control and Information Engineers 12, no. 9 (1999): 549–57. http://dx.doi.org/10.5687/iscie.12.549.

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Chiu, Chuang-Hsiung, Wen-Wei Lin, and Chern-Shuh Wang. "Synchronization in a Lattice of Coupled van der Pol Systems." International Journal of Bifurcation and Chaos 08, no. 12 (1998): 2353–73. http://dx.doi.org/10.1142/s0218127498001893.

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We consider a lattice of coupled van der Pol systems with external periodic forces and Dirichlet boundary conditions. Under the assumption of bounded dissipativeness, we prove that the asymptotic synchronization occurs provided that the coupling coefficients are sufficiently large. Furthermore, we demonstrate from numerical simulations that asymptotic synchronization is affected by the coupling coefficients and the size of lattice.
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Bhat, M. S., and S. K. Shrivastava. "Dissipativeness and Stability of a Class of Distributed Parameter Systems." Journal of Applied Mechanics 52, no. 2 (1985): 471–76. http://dx.doi.org/10.1115/1.3169071.

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Input-output stability of linear-distributed parameter systems of arbitrary order and type in the presence of a distributed controller is analyzed by extending the concept of dissipativeness, with certain modifications, to such systems. The approach is applicable to systems with homogeneous or homogenizable boundary conditions. It also helps in generating a Liapunov functional to assess asymptotic stability of the system.
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RODRÍGUEZ-BERNAL, ANÍBAL. "SOME QUALITATIVE DYNAMICS OF NONLINEAR BOUNDARY CONDITIONS." International Journal of Bifurcation and Chaos 12, no. 11 (2002): 2333–42. http://dx.doi.org/10.1142/s0218127402005893.

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In this paper we survey some recent results on the behavior of solutions of parabolic equations subjected to nonlinear boundary conditions. The results range from local existence and regularity of solutions, to global existence, dissipativeness and existence of attractors, and to blow-up in finite time. Some applications are given to some singular perturbation problems and to pattern formation from boundary flux.
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Jiang, Xin. "Global Dynamics for an Age-Structured Cholera Infection Model with General Infection Rates." Mathematics 9, no. 23 (2021): 2993. http://dx.doi.org/10.3390/math9232993.

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This paper studies the global dynamics of a cholera model incorporating age structures and general infection rates. First, we explore the existence and point dissipativeness of the orbit and analyze the asymptotical smoothness. Then, we perform rigorous mathematical analysis on the existence and local stability of equilibria. Based on the uniform persistence, we further investigate the global behavior of the cholera infection model. The results of theoretical analysis are well confirmed by numerical simulations. This research generalizes some known results and provides deeper insights into the
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Dissertations / Theses on the topic "Dissipativeness"

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Соловчук, Клавдія Юріївна, та Klavdiia Yu Solovchuk. "Методи та алгоритми керування багатозв’язними об’єктами без пам’яті в умовах невизначеності". Thesis, Національний авіаційний університет, 2020. https://er.nau.edu.ua/handle/NAU/44767.

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Дисертація присвячена розробленню та дослідженню методів та алгоритмів керування в дискретному часі багатозв’язними об’єктами без пам’яті з числом вихідних змінних, що можуть перевищувати число каналів передачі керувальних дій, за наявності невимірюваних, але обмежених збурень в умовах невизначеностей відносно коефіцієнтів підсилення об’єкта та рівнів збурень. Новизна основного наукового результату полягає в тому, що запропонований метод псевдооберненої моделі може бути використаний як деякий універсальний метод побудови замкнених дискретних систем керування багатозв’язними об’єктами без пам’я
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Books on the topic "Dissipativeness"

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Morawetz, Klaus. Scattering on a Single Impurity. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198797241.003.0004.

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Evolution of a many-body system consists of permanent collisions among particles. Looking at the motion of a single particle, one can identify encounters by which a particle abruptly changes the direction of flight, these are seen as true collisions, and small-angle encounters, which in sum act as an applied force rather than randomising collisions. The scattering on impurities is used to introduce the mentioned mechanisms and, in particular, to show how they affect each other. Point impurities are assumed, i.e. impurities the potential of which is restricted to a single atomic site of the cry
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Book chapters on the topic "Dissipativeness"

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Haddad, Wassim M., and Sergey G. Nersesov. "Large-Scale Continuous-Time Interconnected Dynamical Systems." In Stability and Control of Large-Scale Dynamical Systems. Princeton University Press, 2011. http://dx.doi.org/10.23943/princeton/9780691153469.003.0003.

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This chapter extends classical dissipativity theory to vector dissipativity for addressing large-scale continuous-time interconnected dynamical systems using vector storage functions and vector supply rates. In particular, it develops an energy flow modeling framework for large-scale dynamical systems based on vector dissipativity notions. Using vector storage functions and vector supply rates, the chapter shows that the dissipativity properties of a composite large-scale system are determined from the dissipativity properties of the subsystems and their interconnections. It also derives exten
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Haddad, Wassim M., and Sergey G. Nersesov. "Large-Scale Discrete-Time Interconnected Dynamical Systems." In Stability and Control of Large-Scale Dynamical Systems. Princeton University Press, 2011. http://dx.doi.org/10.23943/princeton/9780691153469.003.0008.

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This chapter develops vector dissipativity notions for large-scale nonlinear discrete-time dynamical systems. In particular, it introduces a generalized definition of dissipativity for large-scale nonlinear discrete-time dynamical systems in terms of a vector dissipation inequality involving a vector supply rate, a vector storage function, and a nonnegative, semistable dissipation matrix. On the subsystem level, the proposed approach provides a discrete energy flow balance in terms of the stored subsystem energy, the supplied subsystem energy, the subsystem energy gained from all other subsyst
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Haddad, Wassim M., and Sergey G. Nersesov. "Large-Scale Impulsive Dynamical Systems." In Stability and Control of Large-Scale Dynamical Systems. Princeton University Press, 2011. http://dx.doi.org/10.23943/princeton/9780691153469.003.0010.

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This chapter develops vector dissipativity notions for large-scale nonlinear impulsive dynamical systems. In particular, it introduces a generalized definition of dissipativity for large-scale nonlinear impulsive dynamical systems in terms of a hybrid vector dissipation inequality involving a vector hybrid supply rate, a vector storage function, and an essentially nonnegative, semistable dissipation matrix. The chapter also defines generalized notions of a vector available storage and a vector required supply and shows that they are element-by-element ordered, nonnegative, and finite. Extended
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Conference papers on the topic "Dissipativeness"

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Solis-Daun, Julio. "Is dissipativeness ≡ dissipativeness? … When two theories met." In 2013 IEEE 52nd Annual Conference on Decision and Control (CDC). IEEE, 2013. http://dx.doi.org/10.1109/cdc.2013.6760495.

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Rasvan, Vladimir. "Three lectures on dissipativeness." In 2006 IEEE International Conference on Automation, Quality and Testing, Robotics. IEEE, 2006. http://dx.doi.org/10.1109/aqtr.2006.254519.

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Moylan, P. J. "Explicit dissipativeness conditions for simple nonlinear systems." In 1997 European Control Conference (ECC). IEEE, 1997. http://dx.doi.org/10.23919/ecc.1997.7082550.

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Jungers, Marc, Francesco Ferrante, and Jerome Loheac. "Dissipativeness and Dissipativation of discrete-time switched linear systems." In 2019 IEEE 58th Conference on Decision and Control (CDC). IEEE, 2019. http://dx.doi.org/10.1109/cdc40024.2019.9030190.

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Liu, Li-ping, Xin-zhuang Dong, and Wa-nv Wang. "Robust strict dissipativeness analysis for affinely uncertain singular systems." In 2011 IEEE 5th International Conference on Cybernetics and Intelligent Systems (CIS). IEEE, 2011. http://dx.doi.org/10.1109/iccis.2011.6070306.

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Kaneko, Osamu, and Takao Fujii. "Discrete time behavioral dissipativeness and spectral factorization via quadratic difference forms." In 1999 European Control Conference (ECC). IEEE, 1999. http://dx.doi.org/10.23919/ecc.1999.7099449.

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You might also be interested in the extended bibliographies on the topic 'Dissipativeness' for particular source types:
Journal articles
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