Partial equiasymptotic stability of nonlinear dynamic systems
Automation and Remote Control
Partial stability and control: The state-of-the-art and development prospects
Automation and Remote Control
Brief paper: Stability results for linear parameter varying and switching systems
Automatica (Journal of IFAC)
Input-output-to-state stability for discrete-time systems
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Input-to-state stability and interconnections of discontinuous dynamical systems
Automatica (Journal of IFAC)
Practical Stability of Nonlinear Time-Varying Cascade Systems
Journal of Dynamical and Control Systems
On partial detectability of the nonlinear dynamic systems
Automation and Remote Control
High-gain observers in the presence of measurement noise: A switched-gain approach
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
HSCC'07 Proceedings of the 10th international conference on Hybrid systems: computation and control
Automatica (Journal of IFAC)
On partial stability theory of nonlinear dynamic systems
Journal of Computer and Systems Sciences International
Finite-Time Input-to-State Stability and Applications to Finite-Time Control Design
SIAM Journal on Control and Optimization
Stability analysis of switched systems using variational principles: An introduction
Automatica (Journal of IFAC)
Input to state stability and allied system properties
Automation and Remote Control
Converse Lyapunov Theorems for Switched Systems in Banach and Hilbert Spaces
SIAM Journal on Control and Optimization
Survey paper: Set invariance in control
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Input-to-state stability for discrete-time nonlinear systems
Automatica (Journal of IFAC)
Brief Growth rate conditions for uniform asymptotic stability of cascaded time-varying systems
Automatica (Journal of IFAC)
Brief Nonlinear observer design via passivation of error dynamics
Automatica (Journal of IFAC)
Analysis and synthesis of switched linear control systems
Automatica (Journal of IFAC)
Universal fuzzy controllers based on generalized T--S fuzzy models
Fuzzy Sets and Systems
Lyapunov formulation of ISS cyclic-small-gain in continuous-time dynamical networks
Automatica (Journal of IFAC)
Smooth Morse-Lyapunov Functions of Strong Attractors for Differential Inclusions
SIAM Journal on Control and Optimization
Stochastic input-to-state stability of switched stochastic nonlinear systems
Automatica (Journal of IFAC)
Synthesis of minimal-error control software
Proceedings of the tenth ACM international conference on Embedded software
Reduction theorems for stability of closed sets with application to backstepping control design
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
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This paper presents a converse Lyapunov function theorem motivated by robust control analysis and design. Our result is based upon, but generalizes, various aspects of well-known classical theorems. In a unified and natural manner, it (1) allows arbitrary bounded time-varying parameters in the system description, (2) deals with global asymptotic stability, (3) results in smooth (infinitely differentiable) Lyapunov functions, and (4) applies to stability with respect to not necessarily compact invariant sets.