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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Adaptive stabilization of non-cooperative stochastic differential games
非合作 随机微分对策 自适应镇定
2023/11/29
We considers the adaptive stabilization problem for a basic class of linear-quadratic non-cooperative stochastic differential games when the systems matrices are unknown to the regulator and the playe...
For an equilibrium of a general dynamical system, the
domain of stability of a linear feedback controller is enlarged by the use
of a general "hybrid" or "switching" strategy. The strategy is illust...
Quadratic stabilization and control of piecewise-linear systems
Piecewise linear system the controller the lyapunov function the program
2015/8/11
We consider analysis and controller synthesis of piecewise-linear systems. The method is based on constructing quadratic and piecewise-quadratic Lyapunov functions that prove stability and performance...
Semi-ordinary p-stabilization of the Siegel Eisenstein series of arbitrary genus
Siegel modular forms Eisenstein series p-adic analytic family
2012/7/11
For a given odd prime p, we define a certain p-stabilization of the Siegel Eisenstein series of arbitrary genus so that the resulting eigenvalue of a generalized Atkin operator at p is a p-adic unit (...
Lagrange Stabilization of Pendulum-like Systems: A Pseudo H-infinity Control Approach
Pseudo Strict Bounded Real Lemma Pendulum-like systems Lagrange stability
2011/10/10
Abstract: This paper studies the Lagrange stabilization of a class of nonlinear systems whose linear part has a singular system matrix and which have multiple periodic (in state) nonlinearities. Both ...
Pointwise stabilization of discrete-time matrix-valued stationary Markov chains
Markovian jump linear system pointwise stabilization random products of matrices
2011/8/22
Abstract: Let $(\Omega,\mathscr{F},\mathbb{P})$ be a probability space and $\bS=\{\mathrm{S}_1,...,\mathrm{S}_K\}$ a discrete-topological space that consists of $K$ real $d$-by-$d$ matrices, where $K$...
Nonlinear Stabilization under Sampled and Delayed Measurements, and with Inputs Subject to Delay and Zero-Order Hold
feedback stabilization time-delay systems sampled-data systems nonlinear control
2011/1/20
Sampling arises simultaneously with input and output delays in networked control systems. When the delay is left uncompensated, the sampling period is generally required to be sufficiently small, the ...
Lecture notes on stabilization of contact open books
Open books stabilization contact structures surgery
2011/2/24
This note explains how to relate some contact geometric opera-tions, such as surgery, to operations on an underlying contact open book. In particular, we shall give a simple proof of the fact that sta...
Stabilization of the Regularity of Powers of An Ideal
Stabilization Regularity of Powers of An Ideal
2011/1/18
When M is a nitely generated graded module over a standard graded algebra S and I is an ideal of S, it is known from work of Cutkosky, Herzog,Kodiyalam, Romer, Trung and Wang that the Castelnuovo-Mu...
Exponential stabilization without geometric control
Exponential stabilization geometric control
2010/11/12
We present examples of exponential stabilization for the damped wave equation on a compact manifold in situations where the geometric control condition is not satisfied. This follows from a dynamical ...
Stabilization of solutions to unidimensional nonlinear parabolic problems
Stabilization solutions unidimensional
2010/9/15
We begin by describing the set E(L) of nonnegative equilibrium solutions to the motivating example, which consists of problem (P) with the special choice f(u) = u(1 − u)(u − a) and 0 < a <...
Robust stabilization for uncertain time-delay systems under time-varying sampling
Sampled-data control Time-delay systems
2010/9/15
When we use digital devices to control systems, we usually apply the zero-order control input. In this case, the closed-loop system with such a state feedback control input becomes a system with time-...
Uncertain discrete delay singular systems: Delay-dependent stability and stabilization
Discrete Singular systems Time-delay systems Robust stability
2010/9/15
The problems of delay-dependent robust stability and stabilization of a class of uncertain, linear discrete-time singular systems with state-delay are examined.The parametric uncertainties are assumed...
Delay-dependent robust stability and stabilization of neutral systems
Neutral systems Delay-dependent stability Delay-dependent stabilization
2010/9/15
Complete results for the delay-dependent robust stability and feedback stabilization of linear neutral systems with unknown-but-bounded uncertainties are developed. New linear matrix inequalities-base...
Internal Stabilization of A Mutualistic Reaction Diffusion System
stabilization mutualistic systems steady-state solution Riccati equation feedback controller
2007/12/11
We study the internal stabilization of steady-state solutions to a 2-species mutualistic reaction diffusion system via finite-dimensional feedback controllers. Our main idea is to use different intern...