A Smooth Converse Lyapunov Theorem for Robust Stability (1996)
Yuandan Lin, Eduardo D. Sontag, Yuan Wang
. 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...
A smooth converse Lyapunov theorem for robust stability (1996)
Yuandan Lin, Eduardo D. Sontag, Yuan Wang
Abstract. 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...
Input to State Stabilizability for Parameterized Families of Systems (1995)
Yuandan Lin, Eduardo D. Sontag, Yuan Wang
This paper studies various stability issues for parameterized families of systems, including problems of stabilization with respect to sets. The study of such families is motivated by robust control...
Input to State Stabilizability for Parameterized Families of Systems (1995)
Yuandan Lin, Eduardo D. Sontag, Yuan Wang
This paper studies various stability issues for parameterized families of systems, including problems of stabilization with respect to sets. The study of such families is motivated by robust control...
Control-lyapunov universal formulas for restricted inputs (1995)
Yuandan Lin, Eduardo D. Sontag
Keywords: Lyapunov functions, Artstein’s Theorem, Nonlinear stabilization We deal with the question of obtaining explicit feedback control laws that stabilize a nonlinear system, under the...
A Smooth Converse Lyapunov Theorem for Robust Stability (1994)
Yuandan Lin, Eduardo D. Sontag, Yuan Wang
. 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...
Recent Results on Lyapunov-theoretic Techniques for Nonlinear Stability (1994)
Yuandan Lin, Eduardo D. Sontag, Yuan Wang
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....
Lyapunov function techniques for stabilization (1992)
In this dissertation we investigate the stability and stabilizability of nonlinear control systems with respect to closed, not necessarily compact, sets. We are motivated by potential applications to...
Lyapunov function techniques for stabilization / (1992)
"Graduate Program in Mathematics."
This PostScript file was produced on host "control.rutgers.edu". Pass1: Page 0 Report SYCON-93-09 Recent Results on Lyapunov-theoretic Techniques for Nonlinear Stability
A Universal Formula For Stabilization With Bounded Controls (1990)
Yuandan Lin, Eduardo D. Sontag
We provide a formula for a stabilizing feedback law using a bounded control, under the assumption that an appropriate control-Lyapunov function is known. Such a feedback, smooth away from the origin...