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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 and Validation of Diamagnetic Rotor Levitated by Permanent Magnetics
As an innovative, low-power consuming, and low-stiffness suspension approach, the diamagnetic levitation technique has attracted considerable...
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Vibration Control of the Rail Grinding Vehicle with Abrasive Belt Based on Structural Optimization and Lightweight Design
As a new grinding and maintenance technology, rail belt grinding shows significant advantages in many applications. The dynamic characteristics of...
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A Appendix: Introduction to Stochastic Differential Equations
In this appendix we bring some basic results concerning stochastic differential equations of the Ito type which systems with state-multiplicative...
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3 Continuous-time Systems: General Filtering
In this chapter we bring the solution of the continuous-time stationary filtering using a general-type filter [45], [41]. Recently, the solution of...
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10 Discrete-time Systems: Static Output-feedback
In this chapter we bring the solution of the discrete-time counterpart of Chapter 5 where we solve both the H2 and the H∞ static output-feedback...
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7 Discrete-time Systems: Control and Luenberger-type Filtering
In this chapter we bring the discrete-time counterpart of Chapter 2 where we solve the state-feedback control and filtering problems with the aid of...
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11 Systems with State-multiplicative Noise: Applications
In order to demonstrate the application of the theory developed in Chapter 3, we consider the problem of altitude estimation with measurements from a...
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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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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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A PLDS Model of Pollution in Connected Water Reservoirs
In this paper a PLDS (positive linear discrete time system) model of pollution in connected water reservoirs is described. At the beginning, the...
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Reachability and Invariance Problems in Max-plus Algebra
We present a synthesis of recent results concerning reachability and invariance problems for max-plus linear dynamical systems. Semigroup membership...
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Positivity for Matrix Systems: A Case Study from Quantum Mechanics
We discuss an example from quantum physics of “positive system” in which the state (a density operator) is a square matrix constrained to be positive...
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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...