## 2 Citations

### 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.

### 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.

## References

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The objective of this paper is to extend the notion of monotonicity to systems with inputs and outputs, a necessary first step in trying to understand interconnections, especially including feedback loops built up out of monotone components.

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It is shown that this characterization of oscillators as open systems that satisfy a particular dissipation inequality has implications for the global stability analysis of limit cycle oscillations: i) in isolated oscillators, ii) in interconnections of oscillations, and iii) for theglobal synchrony analysis in interConnections of identical oscillators.

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- 2001

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.

### Monotone Circuits

- 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.

### Differential dissipativity analysis of reaction-diffusion systems

- MathematicsSyst. Control. Lett.
- 2021

### Incrementally port-Hamiltonian systems

- Mathematics52nd IEEE Conference on Decision and Control
- 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…