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Found 13 papers, 0 papers with code
Converse negative imaginary theorems
We also establish a non-existence result that no stable system can robustly stabilise all marginally stable NI uncertainty, thereby showing that the uncertainty class of NI systems is too large as far as robust feedback stability is concerned, thus justifying the consideration of subclasses of NI systems with constrained static or instantaneous gains.
Steady-state analysis of networked epidemic models
In this paper, we develop two positive feedback frameworks that are applicable to the study of steady-state values in a wide range of compartmental epidemic models, including both group and networked processes.
On Phase Change Rate Maximization with Practical Applications
We recapitulate the notion of phase change rate maximization and demonstrate the usefulness of its solution on analyzing the robust instability of a cyclic network of multi-agent systems subject to a homogenous multiplicative perturbation.
Feedback Stability Analysis via Dissipativity with Dynamic Supply Rates
This extends classical dissipativity with static supply rates and dynamic supply rates of miscellaneous quadratic forms.
On the exponential convergence of input-output signals of nonlinear feedback systems
We show that the integral-constraint-based robust feedback stability theorem for certain Lurye systems exhibits the property that the endogenous input-output signals enjoy an exponential convergence rate for all initial conditions of the linear time-invariant subsystem.
Exact Instability Margin Analysis and Minimum-Norm Strong Stabilization -- phase change rate maximization --
This paper is concerned with a new optimization problem named "phase change rate maximization" for single-input-single-output linear time-invariant systems.
On the Necessity and Sufficiency of Discrete-Time O'Shea-Zames-Falb Multipliers
Roughly speaking, a successful proof of the conjecture would require: (a) a conic parameterization of a set of multipliers that describes exactly the set of nonlinearities, (b) a lossless S-procedure to show that the non-existence of a multiplier implies that the Lurye system is not uniformly robustly stable over the set of nonlinearities, and (c) the existence of a multiplier in the set of multipliers used in (a) implies the existence of an LTI multiplier.
A Frequency-Domain Approach to Nonlinear Negative Imaginary Systems Analysis
In this study, we extend the theory of negative imaginary (NI) systems to a nonlinear framework using a frequency-domain approach.
The Singular Angle of Nonlinear Systems
It is, thus, different from the recently appeared nonlinear system phase which adopts the complexification of real-valued signals using the Hilbert transform.
A Phase Theory of MIMO LTI Systems
In this paper, we define the phase response for a class of multi-input multi-output (MIMO) linear time-invariant (LTI) systems whose frequency responses are (semi-)sectorial at all frequencies.
Phase of Nonlinear Systems
A nonlinear small phase theorem is then established for feedback stability analysis of semi-sectorial systems.
On the Necessity and Sufficiency of the Zames-Falb Multipliers for Bounded Operators
Lastly, when restricted to be LTI, the second class is demonstrated to be a subset of the third, and the existence of a Zames-Falb multiplier is shown to be sufficient but not necessary for the robust feedback stability.
A second order primal-dual method for nonsmooth convex composite optimization
We develop a second order primal-dual method for optimization problems in which the objective function is given by the sum of a strongly convex twice differentiable term and a possibly nondifferentiable convex regularizer.
