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Comments on "A necessary and sufficient condition for stability of a perturbed system" by Q. Huang and R. Liu
1988 Edition, Volume 33, August 1, 1988 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

It is pointed out that for a given controller, the sets of additive, multiplicative, and stable-factor perturbations that the plant can have without destabilizing the control system can be completely parametrized by using D.C. Youla's parametrization and by noting that...

A Sufficient Condition for Deadlock-Free Adaptive Routing in Mesh Networks
2015 Edition, Volume 14, July 1, 2015 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

Deadlock remains a central problem in interconnection network. In this paper, we establish a new theory of deadlock-free flow control for k-ary, n-cube mesh network, which enables the use of any minimal-path adaptive...

Comments on "A necessary condition for Hurwitz polynomials"
1984 Edition, Volume 29, April 1, 1984 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

A condition proven in the above paper to be a necessary condition for Hurwitz polynomials is not new. It is part of a necessary and sufficient condition for a polynomial to be Hurwitz.

A necessary and sufficient condition for deadlock-free routing in cut-through and store-and-forward networks
1996 Edition, Volume 7, August 1, 1996 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

This paper develops the theoretical background for the design of deadlock-free adaptive routing algorithms for virtual cut-through and store-and-forward switching. This theory is valid for networks using either central buffers or...

A sufficient condition for interference alignment
2015 Edition, June 1, 2015 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

We consider the classical problem of spatial interference alignment (IA) in MIMO channels with constant channel coefficients through design of linear transmit precoders and receiver filters. Some easily (polynomial time) computable necessary conditions for IA have been...

A sufficient condition for simultaneous stabilization
1993 Edition, Volume 38, August 1, 1993 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

The condition under which it is possible to find a single controller that stabilizes k single-input single-output linear time-invariant systems p/sub i/(s) (i=1,. . .,k) is investigated. The concept of avoidance in the complex plane is introduced and used to derive...

A Sufficient Condition for Convergences of Adam and RMSProp
2019 Edition, June 1, 2019 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

Adam and RMSProp are two of the most influential adaptive stochastic algorithms for training deep neural networks, which have been pointed out to be divergent even in the convex setting via a few simple counterexamples. Many attempts, such as decreasing an...

Necessary and Sufficient Condition for Two-Player Stackelberg Strategy
2015 Edition, Volume 60, May 1, 2015 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

This technical note revisits the open-loop Stackelberg strategy for a two-player game. By introducing a new costate, which captures the future information of the control input, we present a necessary and sufficient condition for the...

A Sufficient Condition for K-Controllability of Network Systems
2019 Edition, July 1, 2019 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

Controllability is usually researched by combing the choose of driver nodes. This is however not sufficient for the large-scale network in engineering applications, where the state of the entire network is expected to be driven to the desired value in...

A sufficient condition for pre-Hamiltonian cycles in bipartite digraphs
2017 Edition, September 1, 2017 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

A cycle in a balanced bipartite digraph is called a pre-Hamiltonian if it contains all the vertices of the balanced bipartite digraph except two. In this paper we give a sufficient condition for the existence of pre-Hamiltonian cycle...

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