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On the Positive Reachability of 2D Positive Systems
Local reachability of two-dimensional (2D) positive systems, by means of positive scalar inputs, is addressed by means of a graph theoretic approach....
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The Character of an Idempotent-analytic Nonlinear Small Gain Theorem
In this paper a general nonlinear input-to-state stability small gain theory is described using idempotent analytic techniques. The theorem is proved...
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Positive Systems with Nondecreasing Controls. Existence and Well-posedness
In the paper we consider a linear system with nondecreasing controls and a convex cost functional. Basing it on classical methods and the theory of...
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Application of Bifurcation Analysis to Power Systems
Electric power systems are physically some of the largest and most complex nonlinear systems in the world. Bifurcations are rather mundane phenomena...
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Stability of Nonlinear Hybrid Systems
This work is devoted to stability of nonlinear hybrid systems (or nonlinear systems with regime switching). The switching regime is described by a...
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Symmetries and Minimal Flat Outputs of Nonlinear Control Systems
Consider a nonlinear control system of the form $\Pi : \dot{x}=F(x,u)$ ,...
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On Absolute Stability of Convergence for Nonlinear Neural Network Models
This paper deals with a class of large-scale nonlinear dynamical systems, namely the additive neural networks. It is well known that convergence of...
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Gyroscopic Forces and Collision Avoidance with Convex Obstacles
This paper introduces gyroscopic forces as an tool that can be used in addition to the use of potential forces in the study of collision and convex...
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The Uncertain Generalized Moment Problem with Complexity Constraint
This paper is dedicated to Arthur Krener – a great researcher, a great teacher and a great friend – on the occasion of his 60th birthday. In this...
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A Novel Design Approach to Flatness-Based Feedback Boundary Control of Nonlinear Reaction-Diffusion Systems with Distributed Parameters
Differential flatness has proven to be a very powerful approach for analysis and design of open-loop and stabilizing feedback tracking control for...
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On the Steady-State Behavior of Forced Nonlinear Systems
The purpose of this paper is to discuss certain aspects of the asymptotic behavior of finite-dimensional nonlinear dynamical systems modeled by...
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A Homotopy Continuation Solution of the Covariance Extension Equation
Algebraic geometry plays an important role in the theory of linear systems for (at least) three reasons. First, the Laplace transform turns...
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Arithmetic Properties of Observable Time Dependent Systems
Here we consider questions of discrete observability for linear systems of ordinary differential equations, extending work by Martin and Smith in...
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Endomorphisms of Hopf Algebras and a Little Bit of Control
Firstly this paper summarizes some of the the relations between control theory and coalgebra and Hopf algebra theory, particularly the fact that the...
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From Empirical Data to Multi-Modal Control Procedures
In this paper we study the problem of generating control programs, i.e. strings of symbolic descriptions of control-interrupt pairs (or modes) from...
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Collision Free Motion Planning on Graphs
A topological theory initiated in [4,5] uses methods of algebraic topology to estimate numerically the character of instabilities arising in motion...
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Coordinating Multiple Droplets in Planar Array Digital Microfluidics System
This paper presents an approach to coordinate the motions of droplets in digital microfluidic systems used for biochemical analysis. A digital...
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1. Preliminaries
In the sequel, C n is an n-dimensional complex Euclidean space and...
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Existence of Steady States. Positive and Nontrivial Steady States
Let us consider in C n the nonlinear equation...
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9. Switched Scalable Video Coding Systems
Scalable video coding means that a video sequence is only encoded once and the coded bitstream has the capability of sending any sub-bitstream...