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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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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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Guaranteed Parameter Estimation for Cooperative Models
The parameters of cooperative models are estimated in a boundederror context, i.e., all uncertain quantities are assumed to be bounded, with known...
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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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Simulating a Motorcycle Driver
Controlling a riderless bicycle or motorcycle is a challenging problem because the dynamics are nonlinear and non-minimum phase. Further difficulties...
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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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Modeling Hybrid Positive Systems with Hybrid Petri Nets
In this paper the possibility of modeling positive systems by means of Hybrid Petri Nets (HPN) is discussed. Hybrid (or Fluid) Petri Nets are Petri...
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Note on Structural Properties and Sizes of Eigenspaces of Min-max Functions
In this paper, we study relationships among structural properties of min-max functions and complexity on deciding the sizes of the eigenspaces of...
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Countercurrent Double-pipe Heat Exchangers are a Special Type of Positive Systems
Countercurrent liquid-liquid double-pipe heat exchangers prove to be a special type of positive systems: namely, they are compartmental and...
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Observability Normal Forms
One of the first definitions and characterizations of nonlinear observability was given in the well known paper of R. Hermann and A.J. Krener [18],...
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Towards Whole Cell “in Silico” Models for Cellular Systems: Model Set-up and Model Validation
Based on recent developments for new measurement technologies that enable researches to get quantitative information on intracellular processes, the...
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Positive Linear Systems Reachability Criterion in Digraph Form
Reachability criterion in digraph form for discrete-time positive linear systems in terms of the non-negative pair (A, B) is obtained. The criterion...
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Min-plus and Max-plus System Theory Applied to Communication Networks
Network Calculus is a set of recent developments, which provide a deep insight into flow problems encountered in networking. It can be viewed as the...
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Paths and Cycles in the Totally Positive Completion Problem
An n × n real matrix is said to be totally positive if every minor is nonnegative. In this paper, we are interested in totally positive completion...
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State Feedback Set Stabilization for a Class of Nonlinear Systems
A controller for a class of multiple input systems is proposed, with a subset of nonlinear positive systems as a special case. The controller is...
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On Nonnegative Realizations
Problems of nonnegative finite dimensional realizations of a nonnegative impulse response (or, equivalently, Markov sequence) or of a given rational...
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Reachability Graph for Autonomous Continuous Petri Nets
An autonomous continuous Petri net is a model in which the time is not involved, the marking is a vector or non-negative real numbers, and a...