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Dissipative distributed systems
Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187), 2002Deals with systems described by constant coefficient linear partial differential equations. We define dissipativity with respect to a quadratic differential form, i.e., a quadratic functional in the system variables and their partial derivatives. The main result states the equivalence of dissipativity and the existence of a storage function or of a ...
Jan C. Willems, Harish K. Pillai
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Physical Review A, 1994
It is found that dissipative types of stable soliton structures can exist in nonlinear optical media with broadband gain and group-velocity dispersion (GVD). These structures resemble ionization or combustion waves and are essentially self-accelerating pulses with a stationary-envelope form and a permanently shifting wave spectrum.
, Vanin +5 more
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It is found that dissipative types of stable soliton structures can exist in nonlinear optical media with broadband gain and group-velocity dispersion (GVD). These structures resemble ionization or combustion waves and are essentially self-accelerating pulses with a stationary-envelope form and a permanently shifting wave spectrum.
, Vanin +5 more
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Quantum Probability and Infinite Dimensional Analysis, 2010
In the evolution of a quantum system subject to a nonlinear dissipative term of Kostin type the probability amplitudes associated to excited states of the Hamiltonian are damped; this results in a dynamic convergence toward the ground state. In this paper we dicuss how dissipation can replace adiabatic evolution in the search of the ground state of a ...
D. De Falco, E. Pertoso, D. Tamascelli
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In the evolution of a quantum system subject to a nonlinear dissipative term of Kostin type the probability amplitudes associated to excited states of the Hamiltonian are damped; this results in a dynamic convergence toward the ground state. In this paper we dicuss how dissipation can replace adiabatic evolution in the search of the ground state of a ...
D. De Falco, E. Pertoso, D. Tamascelli
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European Journal of Control, 2007
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Communications in Mathematical Physics, 1999
The authors prove that the generalized positive \(p\)-selfadjoint operators in Banach space satisfy the generalized Schwartz inequality and solve the maximal dissipative extension representation of \(p\)-dissipative operators in Banach space. The paper starts with the introduction of generalized Schwartz inequality of generalized positive selfadjoint ...
Tian, Lixin, Liu, Zengrong
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The authors prove that the generalized positive \(p\)-selfadjoint operators in Banach space satisfy the generalized Schwartz inequality and solve the maximal dissipative extension representation of \(p\)-dissipative operators in Banach space. The paper starts with the introduction of generalized Schwartz inequality of generalized positive selfadjoint ...
Tian, Lixin, Liu, Zengrong
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Physica Scripta, 1987
Summary: A report is presented on recent work on chaos and the onset of chaos in dissipative quantized systems described by discrete maps. The method of quantization of such maps is described, and the formulation of the quantized maps -- conservative or dissipative -- in terms of `quasistochastic' \(c\)-number maps explained.
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Summary: A report is presented on recent work on chaos and the onset of chaos in dissipative quantized systems described by discrete maps. The method of quantization of such maps is described, and the formulation of the quantized maps -- conservative or dissipative -- in terms of `quasistochastic' \(c\)-number maps explained.
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Dissipative Distributed Systems
2000A controllable distributed dynamical system described by a system of linear constant-coefficient partial differential equations is said to be conservative if for compact support trajectories the integral of the supply rate is zero. It is said to be dissipative if this integral is non-negative.
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DISSIPATIVE VOLTERRA OPERATORS
Mathematics of the USSR-Sbornik, 1968zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Dissipatively Generated Entanglement
2017Given two non-interacting 2-level systems weakly coupled to an environment and thus evolving according to a statistically mixing dissipative reduced dynamics, we provide necessary and sufficient conditions for the generator of the time-evolution to entangle the two systems.
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