Robust control of uncertain systems: Classical results and recent developments

IR Petersen, R Tempo - Automatica, 2014 - Elsevier
This paper presents a survey of the most significant results on robust control theory. In
particular, we study the modeling of uncertain systems, robust stability analysis for systems …

[图书][B] Stability of time-delay systems

K Gu, J Chen, VL Kharitonov - 2003 - books.google.com
For both their theoretical and practical impact, time-delay systems have been an enduring
theme in the study of differential equations, stochastic processes, game theory, and systems …

[图书][B] Randomized algorithms for analysis and control of uncertain systems: with applications

R Tempo, G Calafiore, F Dabbene - 2013 - Springer
The presence of uncertainty in a system description has always been a critical issue in
control. The main objective of Randomized Algorithms for Analysis and Control of Uncertain …

A survey of computational complexity results in systems and control

VD Blondel, JN Tsitsiklis - Automatica, 2000 - Elsevier
The purpose of this paper is twofold:(a) to provide a tutorial introduction to some key
concepts from the theory of computational complexity, highlighting their relevance to …

[图书][B] Handbook of approximation algorithms and metaheuristics

TF Gonzalez - 2007 - taylorfrancis.com
Delineating the tremendous growth in this area, the Handbook of Approximation Algorithms
and Metaheuristics covers fundamental, theoretical topics as well as advanced, practical …

[图书][B] Positive trigonometric polynomials and signal processing applications

B Dumitrescu - 2007 - Springer
A few words on the second edition. By a nice coincidence, Springer's proposal to revise the
book came when I was giving a serious thought to the idea. Ten years have passed and my …

On approximating complex quadratic optimization problems via semidefinite programming relaxations

AMC So, J Zhang, Y Ye - Mathematical Programming, 2007 - Springer
In this paper we study semidefinite programming (SDP) models for a class of discrete and
continuous quadratic optimization problems in the complex Hermitian form. These problems …

Complex quadratic optimization and semidefinite programming

S Zhang, Y Huang - SIAM Journal on Optimization, 2006 - SIAM
In this paper we study the approximation algorithms for a class of discrete quadratic
optimization problems in the Hermitian complex form. A special case of the problem that we …

The boundedness of all products of a pair of matrices is undecidable

VD Blondel, JN Tsitsiklis - Systems & Control Letters, 2000 - Elsevier
We show that the boundedness of the set of all products of a given pair Σ of rational matrices
is undecidable. Furthermore, we show that the joint (or generalized) spectral radius ρ (Σ) is …

A convex approach to robust stability for linear systems with uncertain scalar parameters

PA Bliman - SIAM journal on Control and Optimization, 2004 - SIAM
In this paper, robust stability for linear systems with several uncertain (complex and/or real)
scalar parameters is studied. A countable family of conditions sufficient for robust stability is …