3 Citations
Circuit Analysis using Monotone+Skew Splitting
- MathematicsArXiv
- 2022
—It is shown that the behavior of an m -port circuit of maximal monotone elements can be expressed as a zero of the sum of a maximal monotone operator containing the circuit elements, and a…
Monotone one-port circuits
- Computer Science, MathematicsArXiv
- 2021
periodic input signals are shown to be mapped to periodic output signals, and these input-output behav-iors can be computed using a maximal monotone splitting algorithm, which decomposes the computation according to the circuit topology.
Splitting algorithms and circuit analysis
- Computer ScienceArXiv
- 2022
This extended abstract presents new splitting algorithms specially suited to these structures, for interconnections of monotone and anti-monotone relations.
References
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An extension of the absolute stability problem and of the Lagrange–Dirichlet theorem is presented, when the nonlinearities entering the model are considered within the class of monotone multivalued mappings.
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- PhysicsArXiv
- 2020
Maximal monotonicity is explored as a generalization of the linear theory of passivity, which allows for algorithmic system analysis of an important physical property of nonlinear 1-port circuits.
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It is concluded that such interconnections are well-posed in the sense of existence and uniqueness of solutions when the underlying linear system is passive and the static relation is maximal monotone.
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- 2013
This paper introduces the new class of incrementally port-Hamiltonian systems. This class can be obtained from standard port-Hamiltonian systems by replacing the composition of the Dirac structure…
On critical points of the difference of two maximal monotone operators
- Mathematics
- 2015
Relying on the Yosida approximate, we present an algorithmic approach for finding a critical point of the difference of two maximal monotone operators in a finite dimensional real Hilbert space. The…
Monotone networks
- MathematicsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
- 1960
Fundamental existence and uniqueness theorems for electrical networks of non-linear resistors are proved in an abstract form, as theorems of pure mathematics. The two groups from which the ‘currents’…
Dynamics of pattern formation in lateral-inhibition type neural fields
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- 2004
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