On relationships among passivity, positive realness, and dissipativity in linear systems

N Kottenstette, MJ McCourt, M Xia, V Gupta… - Automatica, 2014 - Elsevier
The notions of passivity and positive realness are fundamental concepts in classical control
theory, but the use of the terms has varied. For LTI systems, these two concepts capture the …

Dissipativity and integral quadratic constraints: Tailored computational robustness tests for complex interconnections

CW Scherer - IEEE Control Systems Magazine, 2022 - ieeexplore.ieee.org
A central notion in systems theory is dissipativity, which was introduced by Jan Willems with
the explicit goal of arriving at a fundamental understanding of the stability properties of …

[图书][B] Nonlinear control systems: an introduction

A Isidori - 1985 - Springer
(I. la) m= f (x)+[gi (x) ui i= I (1. lb) y= h (x) and we want to examine to what extent the behavior
of such a system could be made" linear" under the effect of an appropriate feedback control …

[图书][B] Switching in systems and control

D Liberzon - 2003 - Springer
l\lany systems encountered in practice involve a coupling between contin uous dynamics
and discrete events. Systems in which these two kinds of dynamics coexist and interact are …

[图书][B] L2-Gain and Passivity Techniques in Nonlinear Control

A Van der Schaft - 2000 - Springer
In this chapter we present a state space interpretation of the small gain and passivity
approach of the previous chapter. Moreover, we will come to some kind of synthesis …

[图书][B] Nonlinear output regulation: theory and applications

J Huang - 2004 - SIAM
The output regulation problem, or alternatively, the servomechanism problem, addresses
design of a feedback controller to achieve asymptotic tracking for a class of reference inputs …

[图书][B] Constructive nonlinear control

R Sepulchre, M Jankovic, PV Kokotovic - 2012 - books.google.com
Constructive Nonlinear Control presents a broad repertoire of constructive nonlinear
designs not available in other works by widening the class of systems and design tools …

[PDF][PDF] Passivity, feedback equivalence, and the global stabilization of minimum phase nonlinear systems

CI Byrnes, A Isidori, JC Willems - IEEE Transactions on …, 1991 - homes.esat.kuleuven.be
In this paper, we derive conditions under which a nonlinear system can be rendered passive
via smooth state feedback and we show that, as in the case linear systems, this is possible if …

On stability, L2-gain and H∞ control for switched systems

J Zhao, DJ Hill - Automatica, 2008 - Elsevier
This paper addresses the issues of stability, L2-gain analysis and H∞ control for switched
systems via multiple Lyapunov function methods. A concept of general Lyapunov-like …

Constructive nonlinear control: a historical perspective

P Kokotović, M Arcak - Automatica, 2001 - Elsevier
In the early days of nonlinear control theory most of the stability, optimality and uncertainty
concepts were descriptive rather than constructive. This survey describes their …