Systems & Control Letters
Nonlinear systems analysis (2nd ed.)
Nonlinear systems analysis (2nd ed.)
A Smooth Converse Lyapunov Theorem for Robust Stability
SIAM Journal on Control and Optimization
Examples of stabilization with hybrid feedback
Proceedings of the DIMACS/SYCON workshop on Hybrid systems III : verification and control: verification and control
Control Using Logic-Based Switching
Control Using Logic-Based Switching
Qualitative Theory of Hybrid Dynamical Systems
Qualitative Theory of Hybrid Dynamical Systems
Differential Inclusions: Set-Valued Maps and Viability Theory
Differential Inclusions: Set-Valued Maps and Viability Theory
Lie-Algebraic Stability Criteria for Switched Systems
SIAM Journal on Control and Optimization
A Generalization of Zubov's Method to Perturbed Systems
SIAM Journal on Control and Optimization
Stability of Planar Switched Systems: The Linear Single Input Case
SIAM Journal on Control and Optimization
Stability Analysis of Second-Order Switched Homogeneous Systems
SIAM Journal on Control and Optimization
Hybrid Modeling of TCP Congestion Control
HSCC '01 Proceedings of the 4th International Workshop on Hybrid Systems: Computation and Control
On the Local Structure of Optimal Trajectories in R3
SIAM Journal on Control and Optimization
Piecewise Linear Control Systems
Piecewise Linear Control Systems
Stabilisation of Nonlinear Systems: The Piecewise Linear Approach
Stabilisation of Nonlinear Systems: The Piecewise Linear Approach
Switched and Impulsive Systems: Analysis, Design and Applications (Lecture Notes in Control and Information Sciences)
Absolute stability of third-order systems: A numerical algorithm
Automatica (Journal of IFAC)
Survey paper: Set invariance in control
Automatica (Journal of IFAC)
Survey A survey of computational complexity results in systems and control
Automatica (Journal of IFAC)
Brief On absolute stability analysis by polyhedral Lyapunov functions
Automatica (Journal of IFAC)
The problem of absolute stability: a dynamic programming approach
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
On stability, L2-gain and H∞ control for switched systems
Automatica (Journal of IFAC)
Brief paper: Root-mean-square gains of switched linear systems: A variational approach
Automatica (Journal of IFAC)
Systems with a switch and estimation of absolute stability region
Automation and Remote Control
International Journal of Systems Science
The low-frequency distortion in D-class amplifiers
IEEE Transactions on Circuits and Systems II: Express Briefs
Criteria of Stability for Continuous-Time Switched Systems by Using Liao-Type Exponents
SIAM Journal on Control and Optimization
Reasoning about finite-state switched systems
HVC'09 Proceedings of the 5th international Haifa verification conference on Hardware and software: verification and testing
Brief paper: Optimal exponential feedback stabilization of planar systems
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Stability analysis for a class of switched nonlinear systems
Automatica (Journal of IFAC)
Absolute stability and harmonic balance
Automation and Remote Control
Analysis of Discrete-Time Linear Switched Systems: A Variational Approach
SIAM Journal on Control and Optimization
Brief paper: Controllability of Boolean control networks via the Perron-Frobenius theory
Automatica (Journal of IFAC)
Optimal therapy scheduling for a simplified HIV infection model
Automatica (Journal of IFAC)
Exponential stability of stochastic systems with hysteresis switching
Automatica (Journal of IFAC)
| Hi-index | 22.17 |
Many natural and artificial systems and processes encompass several modes of operation with a different dynamical behavior in each mode. Switched systems provide a suitable mathematical model for such processes, and their stability analysis is important for both theoretical and practical reasons. We review a specific approach for stability analysis based on using variational principles to characterize the ''most unstable'' solution of the switched system. We also discuss a link between the variational approach and the stability analysis of switched systems using Lie-algebraic considerations. Both approaches require the use of sophisticated tools from many different fields of applied mathematics. The purpose of this paper is to provide an accessible and self-contained review of these topics, emphasizing the intuitive and geometric underlying ideas.