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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Lyapunov stable classes for Singular Flows
奇异流 李雅普诺夫 稳定类
2023/4/18
In this talk, I will show that (nontrivial) Lyapunov stable classes of vector fields far from homoclinic tangencies contain periodic orbits. This gives a partial answer for the Palis Weak Density Conj...
中国地质大学科学技术发展院宗小峰自动化学院 Automatica, Available online 20 March 2018, Stability of stochastic functional differential systems using degenerate Lyapunov functionals and applications
随机；系统；稳定性；方面新成果
2021/10/21
2018年3月20日，控制领域国际顶级期刊《Automatica》刊发了中国地质大学自动化学院宗小峰教授的“随机系统稳定性方面新成果”--Stability of stochastic functional differential systems using degenerate Lyapunov functionals and applications。
Structured and simultaneous Lyapunov functions for system stability problems
Lyapunov function system robustness quadratic lyapunov function the numerical values
2015/8/13
It is shown that many system stability and robustness problems can be reduced to the question of when there is a quadratic Lyapunov function of a certain structure which establishes stability of dx/dt...
A polynomial-time algorithm for determining quadratic Lyapunov functions for nonlinear systems
Nonlinear systems quadratic lyapunov function and convex programming function
2015/8/12
We consider nonlinear systems dx/dt=f(x(t)) where Df(x(t)) is known to lie in the convex hull of L n times n matrices A_1,ldots,A_L. For such systems, quadratic Lyapunov functions can be determined us...
A class of Lyapunov functionals for analyzing hybrid dynamical systems
Lyapunov functionals the hybrid system function hysteresis nonlinear system lyapunov functionals
2015/8/11
In this paper, we introduce a new class of Lyapunov functionals for analyzing hybrid dynamical systems. This class can be thought of as a generalization of the Lyapunov functional introduced by Yakubo...
Fast evaluation of quadratic control-Lyapunov policy
Quadratic lyapunov function quadratic programming the solution and optimization method computationally intensive control application
2015/8/7
The evaluation of a control-Lyapunov policy, with quadratic Lyapunov function, requires the solution of a quadratic program (QP) at each time step. For small problems this QP can be solved explicitly;...
Controller coefficient truncation using Lyapunov performance certificate
Delete coefficient linear controller coefficient of linear matrix inequality lmi the numerical values
2015/8/7
We describe a method for truncating the coefficients of a linear controller while guaranteeing that a given set of relaxed performance constraints is met. Our method sequentially and greedily truncate...
Structured and Simultaneous Lyapunov Functions for System Stability Problems
Structured Simultaneous Lyapunov Functions System Stability Problems
2015/7/13
It is shown that many system stability and robustness problems can be reduced to the question of when there is a quadratic Lyapunov function of a certain structure which establishes stability of dx/dt...
A polynomial-time algorithm for determining quadratic Lyapunov functions for nonlinear systems
polynomial-time algorithm determining quadratic Lyapunov functions nonlinear systems
2015/7/13
We consider nonlinear systems dx/dt=f(x(t)) where Df(x(t)) is known to lie in the convex hull of L n times n matrices A_1,ldots,A_L. For such systems, quadratic Lyapunov functions can be determined us...
A Class of Lyapunov Functionals for Analyzing Hybrid Dynamical Systems
Lyapunov Functionals Analyzing Hybrid Dynamical Systems
2015/7/10
In this paper, we introduce a new class of Lyapunov functionals for analyzing hybrid dynamical systems. This class can be thought of as a generalization of the Lyapunov functional introduced by Yakubo...
Fast Evaluation of Quadratic Control-Lyapunov Policy
Fast Evaluation Quadratic Control-Lyapunov Policy
2015/7/9
The evaluation of a control-Lyapunov policy, with quadratic Lyapunov function, requires the solution of a quadratic program (QP) at each time step. For small problems this QP can be solved explicitly;...
Controller Coefficient Truncation Using Lyapunov Performance Certificate
coeffi cient truncation controller design LMI methods
2015/7/9
We describe a method for truncating the coefficients of a linear controller while guaranteeing that a given set of relaxed performance constraints is met. Our method sequentially and greedily truncate...
Shannon Meets Lyapunov: Connections between Information Theory and Dynamical Systems
Shannon Meets Lyapunov Connections between Information Theory Dynamical Systems
2015/7/6
This paper explores connections between Information Theory, Lyapunov exponents for products of random matrices, and hidden Markov models. Specifically, we will show that entropies associated with fini...
Capacity of Finite State Channels Based on Lyapunov Exponents of Random Matrices
Finite-state channel hidden Markov model random matrices Shannon capacity
2015/7/6
The finite-state Markov channel (FSMC) is a timevarying channel having states that are characterized by a finitestate Markov chain. These channels have infinite memory, which complicates their capacit...
Fluid Heuristics, Lyapunov Bounds, and Efficient Importance Sampling for a Heavy-tailed G/G/1 Queue
State-dependent importance sampling Rare-event simulation Heavy-tails
2015/7/6
We develop a strongly efficient rare-event simulation algorithm for computing the tail of the steady-state waiting time in a single server queue with regularly varying service times. Our algorithm is ...